PUBLICATIONS
Books:
1. Akhmet M.U., Principles of discontinuous
dynamical systems, Springer, New-York, 2010.
2. Akhmet M.U., Nonlinear hybrid
continuous/discrete-time models, Atlantis Press, Paris, 2011.
3. Akhmet M.U. and Yilmaz E.,
Neural Networks with
Discontinuous/Impact Activations, Springer, New-York, 2013.
4. Akhmet, M. and Fen, M.
O., Replication of chaos in
neural networks, economics and physics. Nonlinear Physical Science,
Springer, Higher Education Press, Beijing, Heidelberg, 2016.
5. Akhmet, M. and Kashkynbayev A. Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities. Springer, Higher Education Press, 2017.
6. Akhmet, M. Almost
Periodicity, Chaos, and Asymptotic Equivalence. Springer, 2020.
7. Akhmet M., Fen M.O., Alejaily, E. M. Dynamics with chaos and fractals, Springer,
2020.
8. Akhmet, M. Domain
structured chaos: unpredictability, chaos, fractals, randomness, differential
equations and neural networks, IOP, 2022.
Chapters in books:
1. Akhmet, M. U., Functional
Differential Equations with Piecewise Constant Argument. In: Regularity and
Stochasticity of Nonlinear Dynamical Systems. Springer, 2018, pp. 79-109.
2. Akhmet, M. U. and Kıvılcım A., Grazing
in Impulsive Differential Equations. In: Regularity and Stochasticity of
Nonlinear Dynamical Systems. Springer, 2018, pp. 111-159.
3. Akhmet M.U., Fen M.O., Input-Output
Mechanism of the Discrete Chaos Extension. In: Complex Motions and Chaos in
Nonlinear Systems, Springer, Switzerland, 2016, pp. 203-233.
4. Akhmet M. U., The Solution of the Second Peskin Conjecture and Developments. In: Mathematical
Modeling and Applications in Nonlinear Dynamics. Springer, 2016, pp. 1-46.
5. Akhmet M.U., Aruğaslan D., Cengiz, N. Dynamics of a Recurrent Neural Network with
Impulsive Effects and Piecewise Constant Argument, pp. 540-552, Trends in Data
Engineering Methods for Intelligent Systems. Lecture Notes on Data Engineering
and Communications Technologies 76, Springer, 2021.
6. Akhmet M.U., Tleubergenova M., Nugayeva Z. Unpredictable
Oscillations of Impulsive Neural Networks with Hopfield Structure, pp. 625-642,
Trends in Data Engineering Methods for Intelligent Systems. Lecture Notes on
Data Engineering and Communications Technologies 76, Springer, 2021.
7. Akhmet, M., Çinçin, D.A., Tleubergenova, M., Seilova, R., Nugayeva, Z. (2023). Hopfield-TypeNeural Networks with Poincaré
Chaos. In: Smart Applications with Advanced Machine Learning and Human-Centred Problem Design. ICAIAME 2021.
EngineeringCyber-Physical Systems and Critical Infrastructures, vol
1. Springer, Cham.
https://doi.org/10.1007/978-3-031-09753-9_42
8. Akhmet, M., Çinçin, D.A., Tleubergenova, M., Nugayeva, Z.
(2023). PoissonStable Dynamics of Hopfield-Type
Neural Networks with Generalized Piecewise Constant Argument. In: Smart
Applications with Advanced Machine Learning and Human-Centred
Problem Design. ICAIAME 2021. Engineering
Cyber-Physical Systems and Critical Infrastructures, vol
1. Springer, Cham.
https://doi.org/10.1007/978-3-031-09753-9_34
9. Akhmet, M., Tleubergenova, M., Seilova, R., Zhamanshin, A.
(2023). PoissonStability in InertialNeural Networks. In:
Smart Applications with Advanced Machine Learning and Human-Centred
Problem Design. ICAIAME 2021. Engineering
Cyber-Physical Systems and Critical Infrastructures, vol
1. Springer, Cham.
https://doi.org/10.1007/978-3-031-09753-9_33.
10. Akhmet, M.U., Erim, G., Tleubergenova, M. (2023). Oscillations in
Recurrent Neural Networks with Structured and Variable Impulses. In:
Smart Applications with Advanced Machine Learning and Human-Centred
Problem Design. ICAIAME 2021. Engineering
Cyber-Physical Systems and Critical Infrastructures, vol
1. Springer, Cham.
https://doi.org/10.1007/978-3-031-09753-9_40.
11. Akhmet, M., Tleubergenova, M., Zhamanshin, A. (2023). Compartmental Poisson Stability in
non-autonomous differential equations. Nonlinear Dynamics and Complexity,
Nonlinear Systems and Complexity 36, https://doi.org/10.1007/978-3-031-06632-0_1
Springer
Nature Switzerland AG2023 C.M.A.Pinto(ed.)
Published papers:
210. Akhmet M.,Baskan K., Yesil C.Revealing Chaos
Synchronization Below the Threshold in Coupled MackeyGlass Systems,
Mathematics,2023,11(14):3197.DOI: 10.3390/math11143197
209. Akhmet M., Tleubergenova M., Sejilova, R., Nugaeva Z. Symmetrical Impulsive Inertial Neural Networks
with Unpredictable and Poisson-Stable Oscillations, Symmetry, 2023,
15(10):1812, DOI: 10.3390/sym15101812
208. Akhmet M., Tleubergenova M., Nugaeva Z.
Unpredictable and Poisson Stable Oscillations of Inertial Neural Networks with
Generalized Piecewise Constant Argument, Entropy, 2023, 25(4): 620DOI:
10.3390/e25040620
207. Akhmet, M., Tleubergenova, M., Zhamanshin,
Shunting Inhibitory Cellular Neural Networks with compartmental unpredictable
coefficients and inputs, Mathematics, 2023, 11(6), 1367; DOI:
10.3390/math11061367
206. Akhmet, M., Aviltay, N, Dauylbayev, M., Zhamanshin, A. A case of impulsive singularity. Journal of Mathematics
Mechanics and Computer Science, 2023, 117(1).
205. Akhmet M., Yesil C., Baskan K.
Synchronization of chaos in semiconductor gas discharge model with local mean
energy approximation, Chaos, Solitons and Fractals,
2023, 167, 113035 doi: 10.1016/j.chaos.2022.113035.
Journal of Mathematics Mechanics and Computer Science,
204. Akhmet M., Tleubergenova M., Zhamanshin,
A. Compartmental
unpredictable functions. Mathematics, 2023, 11(5), 1069; https://doi.org/10.3390/math11051069
203. Akhmet, M., Erim, G.Almostperiodicsolutions
of recurrent neural networks with state-dependent structured impulses.
Discontinuity,
nonlinearity and complexity, 2023, 12(1), pp. 141165, DOI:
10.5890/DNC.2023.03.011.
202. Akhmet M., Tleubergenova M., Arugaslan Cincin D. andNugaeva Z. Unpredictable
solutions of quasilinear differential equations with
generalized piecewise constant arguments of mixed type. CarpathianJournal
of Mathematics, Volume 39 (2023), No. 1, pp. 265-280.
201. Akhmet, M., Fen, M.O.,
Tola, A. A numericalanalysis of Poincarechaos.
Discontinuity, nonlinearity and complexity, 2023, 12(1), pp. 183195, DOI:
10.5890/DNC.2023.03.013.
200. Akhmet M., Tleubergenova M., Zhamanshin, A. Duffing equations with two-component Poisson stable
coefficients. Carpathian journal of mathematics2023, 39(2),
349-357.
199. Akhmet, M., Fen, M.O., Tola, A.StrangeNon-Chaotic
Attractors with Unpredictable Trajectories. Journal of
Vibration Testing and System Dynamics, 2022, 6(3), 317-327,
DOI:10.5890/JVTSD.2022.09.004.
198. Akhmet, M., Tleubergenova, M., Zhamanshin, A.
Dynamics of
Hopfield-typeneuralnetworkswithmoduloperiodicunpredictablesynapticconnections, ratesandinputs, Entropy, 2022, 24(11):1555, DOI:
10.3390/e24111555
197. Akhmet, M., Erim, G.Almost periodic solutions
of recurrently structured impulsive neural networks, Discontinuity,
Nonlinearity, and Complexity, 11(3) 2022, 373-385.
196. Akhmet M.,Baskan K., Yesil
C., Delta synchronization of Poincare chaos in gas
discharge-semiconductor systems, Chaos 32(8) 2022,
083137. DOI:10.1063/5.0103132.
195. Akhmet M., Tleubergenova M., Seilova, R., Nugaeva Z. Poisson Stability in Symmetrical Impulsive
Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise
Constant Argument, Symmetry, 14(9) 2022, 1754
194. Akhmet M., Tleubergenova M., Nugaeva Z.
Unpredictable Solutions of Impulsive Quasi-Linear Systems, Discontinuity,
Nonlinearity, and Complexity, 11(1) (2022) 73-89, doi:10.5890/DNC.2022.03.006
193. Akhmet M.,
Unpredictability in Markov chains, Carpathian Journal of Mathematics, 38(1)
(2022) 13-19, Doi.org/10.37193/CJM.2022.01.02
192. Akhmet M., Tleubergenova M., Zhamanshin A. Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations, MDPI, Entropy 2022, 23(11), 1535; Doi.org/10.3390/e23111535.
191. Akhmet M., Abstract
Hyperbolic Chaos, Discontinuity, Nonlinearity, and Complexity 11(1) (2022) 133-138,
Doi:10.5890/DNC.2022.03.011.
190. Akhmet M., Modular
Chaos for Random Processes, Discontinuity, Nonlinearity, and Complexity 11(2)
(2022) 191-201, Doi:10.5890/DNC.2022.06.001.
189. Akhmet M., Tleubergenova M., Zhamanshin
A. Dynamics of Shunting Inhibitory
Cellular Neural Networks with Variable Two-Component Passive Decay Rates and
Poisson Stable Inputs, Symmetry, 14(6):1162, 2022, DOI 10.3390/sym14061162.
188. Akhmet M., Tleubergenova M., Nugaeva Z.
Unpredictable solutions of impulsive quasi-linear systems, The
interdisciplinary journal of Discontinuity Nonlinearity and Complexity, 11(1)
(2022)73-89, DOI:
10.5890/DNC.2022.03.006.
187. Akhmet M., Aviltay N. Asymptotic behavior of the solution of the
integral boundary value problem for singularly perturbed integro-differential
equations DOI:10.26577/JMMCS. 2021.v112.i4.02.
186. Akhmet M., Tleubergenova M., Zhamanshin A.
Modulo and factor periodic Poisson stable functions Kazakh Mathematical
Journal, 21:3(2021) 6-15.
185. Akhmet M., Alejaily E. Abstract Fractals, Discontinuity, nonlinearity
and complexity, 10(1) (2021) 135-142, Doi:10.5890/DNC.2021.03.009.
184. Akhmet M., Tleubergenova M., Zhamanshin
A. Modulo Periodic Poisson Stable
Solutions of Quasilinear Differential Equations, Entropy, 23(11):1535, 2021
DOI: 10.3390/e23111535.
183. Akhmet, M., Alejaily, E.M., Abstract fractals, Discontinuity,
Nonlinearity, and Complexity, 2021, 10(1), 135-142.
182. Akhmet, M., Fen, M.O., Alejaily, E.M. Dynamics with fractals, Discontinuity,
Nonlinearity, and Complexity, 2021, 10(2)135-142.
181. Akhmet, M., Çağ, S., Bifurcation Analysis of Wilson-Cowan Model
with Singular Impulses, Discontinuity, Nonlinearity, and Complexity, 2021,
10(1), 161-172.
180. Akhmet, M., Alejaily, E.M., Abstract similarity, fractals and chaos,
Discrete and Continuous Dynamical Systems - Series B, 2021, 26(5), pp.
2479-2497.
179. Akhmet, M., Çinçin, D.A., Tleubergenova, M., Nugayeva, Z. Unpredictable oscillations for hopfield-type neural networks with delayed and advanced
arguments, Mathematics, 2021, 9(5), 571.
; Doi.org/10.3390/math9050571
178. Akhmet M., Tleubergenova M., Zhamanshin
A. Modulo periodic Poisson stable
solutions of quasilinear differential equations, Entropy, 2021, 23(11),1535.
177. Akhmet M. A Novel Deterministic
Chaos and Discrete Random Processes, Proceedings of the the
12th International Conference on Information Management and EngineeringSeptember
2020 Pages 5356.
176. Akhmet M., Tleubergenova M., Zhamanshin
A. Inertial Neural Networks with Unpredictable
Oscillations October 2020 DOI: 10.3390/math8101797
175. Akhmet M., Tleubergenova M., Nugaeva Z. Strongly
unpredictable oscillations of Hopfield-type neural networks, Mathematics, 8(10)
(2020) 1791, 1-14,
DOI:10.3390/math8101791
174. Akhmet, M., Seilova, R., Tleubergenova M., Zhamanshin A.
Shunting inhibitory cellular neural networks with strongly unpredictable
oscillations, Communications in Nonlinear Science and Numerical Simulation, 89
(2020) 105287.
173. Akhmet M., Tleubergenova M., Zhamanshin
A. Quasilinear differential equations
with strongly unpredictable solutions, Carpathian Journal of Mathematics, 36(3)
(2020) 341-349.
172. Akhmet, M., Fen, M.O., Alejaily, E. M. Extension of sea surface temperature unpredictability
(2019) Ocean Dynamics, 69(2), pp. 145-156 (IF 1.575)
171. Akhmet, M., Kashkynbayev, A. Nonautonomous Bifurcations
in Nonlinear Impulsive Systems, Differential Equations and Dynamical Systems, 28(1)
(2020) 177-190.
170. Akhmet, M., Alejaily, E.M. Domain-structured chaos in a Hopfield neural
network, International Journal of Bifurcation and Chaos, 29(14) (2019) 1950205.
169. Akhmet M., Tleubergenova M., Zhamanshin
A. Neural networks with Poincare chaos,
ACM International Conference Proceeding Series, 2019, 34-37.
168. Akhmet M., Tleubergenova M., Zhamanshin
A. Unpredictable
solutions of linear differential and discrete equations, Turkish Journal of
Mathematics, 43(5) (2018) 2377-2389.
167. Akhmet M., Fen M.O., Alejaily, E. M. Generation of fractals as Duffing equation orbits (2019) Chaos, 29, art. no. 053113.
166. Akhmet M., Tleubergenova M., Zhamanshin A. Poincare chaos for a hyperbolic quasilinear system, Miskolc Mathematical Notes, 20(1) (2018)
33-44.
165.
Akhmet, M., Fen, M.O., Alejaily, E. M. Mapping Fatou-Julia iterations (2018) ACM
International Conference Proceeding Series, pp. 64-67
164.
Akhmet, M.U., Karacaören, M. A Hopfield neural network with multi-compartmental
activation (2018) Neural
Computing and Applications, 29, pp. 815-822 (IF 4.213)
163.
Akhmet, M., Çag, S. Tikhonov theorem for differential equations with singular
impulses (2018) Discontinuity, Nonlinearity, and Complexity, 7,
pp.291-303
162.
Akhmet, M.U., Kivilcim, A. Van der Pol oscillators generated from grazing dynamics
(2018) Discontinuity, Nonlinearity, and Complexity, 7, pp. 259-274
161. Akhmet, M., Feckan, M., Fen, M. O., Kashkynbayev,
A. Perturbed Li-Yorke homoclinic chaos (2018)
Electronic Journal of Qualitative Theory of Differential Equations, 75, pp. 1-18.
160. Akhmet, M., Dauylbayev, M., Mirzakulova, A. A singularly perturbed differential equation with piecewise
constant argument of generalized type (2018) Turkish Journal of Mathematics,
42(1), pp. 1680-1685 (IF 0.614)
159. Akhmet, M., Arugaslan Çinçin, D., Cengiz, N. Exponential stability of periodic solutions of recurrent
neural networks with functional dependence on piecewise constant argument
(2018) Turkish Journal of Mathematics, 42(4), pp. 272-292
158. Akhmet, M., Fen, M. O. Non-autonomous equations with unpredictable solutions
(2018) Communications in Nonlinear Science and Numerical Simulation, 59, pp.
657-670.
157. Akhmet, M.U., Karacaören, M. A Hopfield neural network with multi-compartmental
activation (2018) Neural Computing and Applications, 29, pp.
815-822.
156. Akhmet, M., Fen, M.O.
Almost periodicity in chaos, Discontinuity, Nonlinearity, and Complexity, 7
(2018) 15-29.
155. Akhmet, M. U., Kivilcim, A. Stability in non-autonomous periodic systems with grazing
stationary impacts (2017) Carpathian J. Math., 33, pp. 1-8 (IF
0.878)
154. Akhmet, M., Fen, M. O., Kashkynbayev, A. Persistence of Li-Yorke chaos in systems with relay
(2017) Electronic Journal of Qualitative Theory of Differential Equations, 72,
pp. 1-18 (IF 0.881)
153. Akhmet, M., Çag, S. Chattering as a singular problem (2017) Nonlinear Dynamics, 90, pp. 2797-2812 (IF 4.339)
152. Akhmet, M., Kivilcim, A. Vertical and horizontal grazing (2017)
Dynamic Systems and Applications, 26, pp. 131-145 (IF 0.359)
151. Akhmet, M., Kıvılcım,
A. Non-autonomous grazing phenomenon (2017)
Nonlinear Dynamics, 87 (3), pp. 1973-1984 (IF 4.339).
150. Akhmet, M.U., Kıvılcım, A. Periodic motions generated from non-autonomous grazing
dynamics (2017) Communications in Nonlinear Science and
Numerical Simulation, 49, pp. 48-62 (IF 3.181).
149. Akhmet, M., Fen, M.O. Poincaré chaos
and unpredictable functions (2017) Communications in Nonlinear
Science and Numerical Simulation, 48, pp. 85-94 (IF 3.181).
148. Akhmet, M., Çağ, S. Analysis of impact chattering, Miskolc
Mathematical Notes, Vol. 17 (2016), No. 2, pp. 707-721 (IF 0.585).
147. Akhmet, M. and Kashkynbayev, A. Finite-time nonautonomous
bifurcation in impulsive systems, Electron. J. Qual. Theory
Differ. Equ., Proc. 10'th Coll. Qualitative Theory of
Diff. Equ. 2016, No. 1, 1-13 (IF 0.881).
146. Akhmet, M., Akhmetova, Z., and Fen, M. O., Exogenous versus endogenous for chaotic business cycles. Discontinuity, Nonlinearity, and Complexity 5(2)
(2016) 101-119.
145. Akhmet, M. and Fen, M.
O., Existence of unpredictable solutions and chaos.
Turkish Journal of Mathematics, 2016 (IF 0.614).
144. Akhmet, M. and Fen, M. O., Unpredictable points and chaos. Communications in Nonlinear Science and
Numerical Simulation (2016) (IF 3.181).
143. Akhmet, M.U. and Karacaören, M.; Stability of Hopfield Neural Networks with Delay and Piecewise Constant
Argument. Discontinuity, Nonlinearity, and Complexity 5(1) (2016),
33-42.
142. Akhmet, M. and Fen, M.O.; Homoclinic and heteroclinic motions in
economic models with exogenous shocks. Applied Mathematics and
Nonlinear Sciences 1.1 (2016): 1-10.
141. Fen, M.O. and Akhmet,
M.; Impulsive SICNNs with chaotic postsynaptic currents.
Discrete and Continuous Dynamical Systems - Series B, 21 (2016), no.4, pp.
1119-1148 (IF 1.179).
140. Akhmet, M. U.; Kıvılcım,
A.; Discontinuous dynamics with grazing points. Commun. Nonlinear Sci. Numer.
Simul. 38 (2016), 218242 (IF 3.181).
139. Akhmet, M., Fen, M.O., Kıvılcım, A., Li-Yorke chaos generation by
SICNNs with chaotic/almost periodic postsynaptic currents (2016)
Neurocomputing, 173, pp. 580-594 (IF 2.083).
138. Akhmet, M., Fen, M.O., Kirane, M., Almost periodic solutions of retarded SICNNs with functional
response on piecewise constant argument (2015) Neural Computing
and Applications, 13 p. (IF 4.213).
137. Akhmet, M.; Fen, M. O., LiYorke Chaos in Hybrid Systems on a Time Scale. Internat. J. Bifur. Chaos Appl. Sci. Engrg.
25 (2015), no. 14, 1540024, 10 pp. (IF 1.329).
136. Akhmet, M.; Fen, M. O., Extension of Lorenz unpredictability. Internat. J. Bifur. Chaos Appl. Sci. Engrg.
25 (2015), no. 10, 1550126, 21 pp. (IF 1.329).
135. Alwan, M. S.; Liu, X.; Akhmet,
M.U. On chaotic synchronization via impulsive control and piecewise constant
arguments. Dyn. Contin.
Discrete Impuls. Syst. Ser. B Appl. Algorithms 22
(2015), no. 1, 5367 (IF 0.050).
134. Akhmet M. U., Fen M. O., Attraction of LiYorke Chaos by Retarded SICNNs (2015) Neurocomputing 147, pp. 330-42 (IF 2.083) (IF 2.083).
133. Akhmet M. U., Synchronization of the Cardiac Pacemaker Model with Delayed
Pulse-coupling (2014) Discontinuity, Nonlinearity, and
Complexity 3(1), pp. 17-31.
132. Akhmet M., Fen M.O., Generation of cyclic/toroidal chaos by Hopfield neural
networks (2014) Neurocomputing, 145,
pp. 230-239 (IF 2.083).
131. Akhmet M., Rafatov I., Fen M.O., Extension of spatiotemporal chaos in glow
discharge-semiconductor systems (2014) Chaos, 24 (4), art. no.
043127 (IF 2.415).
130. Akhmet M., Fen M.O., Chaotification
of impulsive systems by perturbations (2014) International
Journal of Bifurcation and Chaos, 24 (6), art. no. 1450078 (IF 1.329).
129. Akhmet M.U., Fen M.O., Entrainment by Chaos (2014) Journal of
Nonlinear Science, 24 (3), pp. 411-439 (IF 2.108).
128. Akhmet M., Akhmetova Z., Fen
M.O., Chaos in economic models with exogenous shocks
(2014) Journal of Economic Behavior and Organization, 106, pp. 95-108 (IF
1.296).
127. Akhmet M., Fen M.O., A new method of chaos generation
(2014) Nonlinear Studies, 21 (2), pp. 195-203.
126. Akhmet M. U., Quasilinear retarded differential equations with functional
dependence on piecewise constant argument, Communications on
Pure and Applied Analysis, 13 (2014)
929-947.
125. Akhmet M. U., Turan, M., Bifurcation of discontinuous limit cycles of the Van der Pol
equation, Mathematics and Computers in Simulation, Volume 95
(2014) 39-54.
124. Akhmet M. U., Fen M. O., Shunting inhibitory cellular neural networks with chaotic
external inputs, Chaos, Volume 23, Issue 2, 2013, Article number
023112.
123. Akhmet M. U., Fen M. O., Replication of chaos. Commun.
Nonlinear Sci. Numer. Simul. 18 (2013), no. 10,
2626-2666.
122. Akhmet M. U., Kashkynbayev, A., Non-autonomous bifurcation in impulsive systems,
Electronic Journal of Qualitative Theory of Differential Equations, (2013) 74,
1-23.
121. Akhmet M. U., Kashkynbayev, A., Nonautonomous transcritical and pitchfork bifurcations in impulsive
systems, Miskolc Mathematical Notes, 14 (2013) 737-748.
120. Akhmet M.U. Almost periodic solutions of second order
neutral differential equations with functional response on piecewise constant
argument, Discontinuity, Nonlinearity, and Complexity, 2 (4) (2013)
369-388.
119. Akhmet M.U., Fen M.O., Period-Doubling Route to
Chaos in Shunting Inhibitory Cellular Neural Networks, Proceedings of International Symposium on
Health Informatics and Bioinformatics, 2013, 8th, September 25-27, Ankara, Turkey.
118. Akhmet M. U., Fen M. O., Chaos Generation in Hyperbolic
Systems, Discontinuity, Nonlinearity, and Complexity, 1 (4) (2012)
367-386.
117. Akhmet M.U. Exponentially Dichotomous Linear systems of Differential
Equations with Piecewise Constant Argument, Discontinuity,
Nonlinearity, and Complexity, 1 (4) (2012) 337-352.
116. Akhmet M. U., Fen M. O., Chaotic period-doubling and OGY control for the forced Duffing equation, Commun.
Nonlinear Sci. Numer. Simul.,
17 (2012), 1929-1946.
115. Akhmet M.U., Self-synchronization of the integrate-and-fire pacemaker
model with continuous couplings, Nonlinear Analysis: Hybrid
systems, 6 (2012) 730-740.
114. Akhmet, M. and Turan M.; A remark for dynamic equations on time scales.
Journal of Nonlinear Systems and Applications (2011) 54-56.
113. Akhmet M.U., Analysis of biological integrate-and-fire
oscillators, Nonlinear Stud.,
18 (2011) 313-327.
112. Akhmet M.U., Arugaslan D. and
Yılmaz E., Method of Lyapunov functions for differential equations
with piecewise constant delay, J. Comput.
Appl. Math., 235 (2011), 4554-4560 (IF 1.632).
111. Akhmet M.U., Turan, M.,
Bifurcation in a 3D hybrid system, Commun. Appl.
Anal., 14 (2010), 311-324.
110. Akhmet M.U. and Yilmaz
E., Global attractivity
in impulsive neural networks with
piecewise constant delay.
Proceedings of Neural, parallel, and scientific computations, Dynamic
Publishers, Inc, USA, 2010, 11-18.
109. Akhmet M.U., Homoclinical
structure of the chaotic attractor. Communications in nonlinear science and
numerical simulation, 15 (4) (2010) 819-822.
108. Akhmet M.U., Arugaslan D.,
Yilmaz, E., Stability analysis of recurrent neural networks with
piecewise constant argument of generalized type. Neural Networks, 23 (2010), 305-311.
107. Akhmet M.U. and Yilmaz E., Impulsive Hopfield type neural network systems with
piecewise constant argument. Nonlinear Analysis: Real World
Applications, 11 (2010), 2584-2593.
106. Akhmet M.U., Bekmukhambetova G.A., A prototype compartmental model of the blood pressure
distribution. Nonlinear Analysis: Real World Applications, 11
(2010), 1249-1257.
105. Akhmet M.U., Arugaslan D.,
Yilmaz, E., Stability in cellular neural networks with a piecewise
constant argument. Journal of computational and applied
mathematics, 233 (9) (2010), 2365-2373.
104. Akhmet M.U., Buyukadali C., Differential equations with
state-dependent piecewise constant argument. Nonlinear
Analysis: Theory, methods and applications, 72 (11) (2010), 4200-4211.
103. Akhmet M.U., Creating a chaos in a system with relay, International Journal
of Qualitative Theory of Differential Equations and Applications, 3 (2009), no.
1-2, 3-7.
102.
Akhmet M.U., Yilmaz, E.,
Hopfield-type neural networks systems equations with piecewise constant
argument. International Journal of Qualitative Theory of Differential Equations
and Applications, 3 (2009), no. 1-2, 8-14.
101. Akhmet M.U. and Arugaslan
D., Bifurcation of a non-smooth planar limit cycle from a vertex, Nonlinear Analysis: Theory, methods and
applications. 71 (2009)
e2723-e2733.
100. Akhmet M.U.,
Preface, Dynamics of Continuous,
Discrete and Impulsive Systems, Series A, Mathematical Analysis, 16 (2009) p. i, A special issue: Bifurcation and chaos in differential
equations and applications. Edited by M. Akhmet.
99. Akhmet M.U., The complex dynamics of the cardiovascular system.
Nonlinear Analysis: Theory, methods and applications. 71
(2009) e1922-e1931.
98. Akhmet M.U., Arugaslan D. and Turan M., Hopf bifurcation
for a 3D Filippov system, Invited paper. Dynamics of Continuous,
Discrete and Impulsive Systems, Series A, Mathematical Analysis, 16 (2009)
759-775. A special issue: Bifurcation and chaos in differential equations and
applications. Edited by M. Akhmet.
97. Akhmet M.U. and Turan M., Bifurcation of 3D discontinuous cycles.
Nonlinear Analysis: Theory, methods and applications. 71 (2009) e2090-e2102.
96. Akhmet M.U., Shadowing and dynamical synthesis. International Journal
of Bifurcation and Chaos. 19, no. 10 (2009) 1-8.
95. Akhmet M.U., Dynamical synthesis of quasi-minimal sets. International Journal of Bifurcation and
Chaos. 19, no. 7 (2009) 1-5.
94. Akhmet M.U. and Arugaslan D., Lyapunov-Razumikhin method for differential equations with piecewise constant
argument. Discrete and Continuous Dynamical Systems, Series A, 25 no. 2
(2009) 457-466.
93. Akhmet M.U., Li-Yorke chaos
in the impact system. J. Math. Anal. Appl., 351 (2009), 804-810.
92. Akhmet M.U. and Turan M., Differential equations on variable time scales,
Nonlinear Analysis: Theory, methods and applications, 70 (2009) 1175-1192.
91. Akhmet M.U., Devaney chaos
of a relay system, Commun. Nonlinear
Sci. Numer. Simulat. 14 (2009) 1486-1493.
90. Akhmet M.U., Almost periodic solutions of the linear differential equation with piecewise constant argument,
Discrete and Impulsive Systems, Series A, Mathematical Analysis, 16 (2009)
743-753.
89. Akhmet M.U., Hyperbolic
sets of impact systems. Dyn. Contin.
Discrete Impuls. Syst. Ser. A Math. Anal., 15 (2008),
suppl. S1, 1-2.
88. Akhmet M.U., Buyukadali C., Periodic solutions of the system with piecewise constant
argument in the critical case.
Comput. Math. Appl., 56 (2008) 2034-2042.
87. Akhmet M.U., Turan M., A
new class of differential equations: systems on variable time scales with
transition conditions, Proceedings of
the Fifth International Conference on
Dynamic Systems and Applications
held at
86. Akhmet M.U., Bekmukhambetova G. A.,
On modeling of blood pressure distribution, Proceedings of the Fifth International
Conference on Dynamic Systems and
Applications held at
85. Akhmet M.U., Tleubergenova M. and Yilmaz
O., Asymptotic behavior of impulsive integro-differential
equations. Comput. Math. Appl., 56
(2008) 1071-1081.
84. Akhmet M.U., Arugaslan D. and Liu
X., Permanence of non-autonomous ratio-dependent predator-prey systems with
piecewise constant argument of generalized type, Dynamics of Continuous,
Discrete and Impulsive Systems, Series A. , 15 (2008) 37-52.
83. Akhmet M.U., Alzabut J. and Zafer A., On
uniform asymptotic stability of linear impulsive delay differential equations,
Dynamics of Continuous, Discrete and Impulsive Systems, Series A. , 15 (2008)
621-631.
82. Akhmet M.U., Asymptotic behavior of solutions of
differential equations with piecewise constant arguments,
Applied Mathematics Letters. 21 (2008) 951-956.
81. Akhmet M.U., Buyukadali C. and Ergenc T., Periodic solutions of the hybrid
system with small parameter, Nonlinear Analysis: Hybrid Systems.
2 (2008) 532-543.
80. Akhmet M.U., Stability
of differential equations with piecewise constant argument of generalized
type, Nonlinear Analysis: Theory,
Methods and Applications. 68 (2008) 794-803.
79. Akhmet M.U., Almost periodic solutions of differential equations with
piecewise constant argument of generalized type, Nonlinear
Analysis: Hybrid Systems and Applications. 2 (2008) 456-467.
78. Akhmet M.U., Tleubergenova M., Asymptotic equivalence of the
quasi-linear impulsive differential equation and the linear ordinary
differential equation, Miscolc
Mathematical Notes, 8 (2007) 117-121.
77. Akhmet M.U., On the
reduction principle for differential equations with piecewise constant argument
of generalized, Journal of Mathematical Analysis and Applications, 336 (2007) 646-663.
76. Akhmet M.U., Integral manifolds of differential equations with piecewise
constant argument of generalized type, Nonlinear Analysis:
Theory, Methods and Applications, 66( 2007) 367-383.
75. Akhmet M.U., Tleubergenova M. and Zafer A., Asymptotic equivalence of
differential equations and asymptotically almost periodic solutions,
Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 1870-1877.
74. Akhmet M.U., Oktem H., Pickl S.W. and Weber
G.-W., An anticipatory extension of Malthusian model, in: {\it Computing
Anticipatory Systems}, CASYS'05, Seventh International Conference on Computing
Anticipatory Systems (Liege, Belgium, August, 2005), D. Dubois, ed. AIP Conference Proceedings (
73. Akhmet M.U., Arugaslan D. and Beklioglu M., Impulsive control of the
population dynamics, Proceedings of the Conference on
Differential and Difference Equations at the Florida Institute of Technology,
August 1-5, 2005, , Melbourne, Florida, Editors: R.P. Agarval
and K. Perera, Hindawi
Publishing Corporation, 2006, 21-30.
72. Akhmet M.U., On the
integral manifolds of the differential equations with piecewise constant
argument of generalized type, Proceedings of the Conference on Differential and
Difference Equations at the Florida Institute of Technology, August 1-5, 2005,
, Melbourne, Florida, Editors: R.P. Agarval and K. Perera, Hindawi Publishing
Corporation, 2006, 11-20.
71. Akhmet M.U., Ugur O., The Sturm-Liouville
operator on the space of functions with discontinuity conditions. Comput. Math. Appl., 51 (2006), no. 6-7,889-896.
70. Akhmet M.U., Ugur O., Boundary value problems for higher
order linear impulsive differential equations, J. Math. Anal.
Appl., 319 (2006), no. 1, 139-156.
69. Akhmet M.U., Turan M., The differential equations on time
scales through impulsive differential equations, Nonlinear Analysis,
65 (2006) 2043-2060.
68. Akhmet M.U., Beklioglu M., Ergenc T. and Tkachenko V., On impulsive ratio-dependent
predator-prey system with duffusion, Nonlinear
Analysis: Real World Applications, 7 (2006), 1255-1267.
67. Akhmet M.U., Kirane M., Tleubergenova M.A. and
Weber G.W. Control and optimal response
problems for quasi-linear impulsive integro-differential
equations, European Journal of Operational Research, 169 (2006),
1128-1147.
66. Akhmet M.U., Alzabut J. and Zafer A., Perron's theorem for linear impulsive
differential equations with distributed delay, Journal of
Computational and Applied Mathematics, 193 (2006), 204-218.
65. Akhmet M.U., Yilmaz, O., Positive solutions of linear impulsive
differential equations, Nonlinear Oscillations, 8 (2005), no 3, p.291-297.
64. Akhmet M.U., Oktem H., Weber G.-W. and Pickl
S.W., An improved method for analytical modeling and anticipation of gene
expression patterns, Computational Technologies, 10 (2005), no. 4, 3-20.
63. Akhmet M.U., Bekmukhambetova G.A. and Serinagaoglu
Y., Regular and Irregular Discontinuous Dynamics of the Systemic Arterial
Pressure, Proceedings of the International Conference on Numerical Analysis and
Applied Mathematics 2005 , 16-20 August, 2005, Rodos,
pp. 44-46.
62. Akhmet, M.U., Perturbations and Hopf bifurcation
of the planar discontinuous dynamical system, Nonlinear
Analysis, 60 (2005),no. 1, 163-178.
61. Akhmet, M.U., On the smoothness of solutions of impulsive autonomous
systems, Nonlinear Analysis, 60 (2005), no. 2, 311-324.
60. Akalın E., Akhmet M. U., The principles of B-smooth
discontinuous flows, Computers and Mathematics with
Applications, 49 (2005), issue 7/8, 981-995.
59. Akalın E., Akhmet M. U., On
the basic properties of discontinuous flows, Studia Universitatis Babes-Bolyai, Mathematica, vol. XLIX (2004)
no. 4, pp. 3-12. Proceedings of the International
Conference on Nonlinear Operators, Differential Equations and Applications,
58. Akhmet M.U., Alzabut J. and Zafer A., On
functionally equivalent impulsive delay differential equations, Proceedings of
dynamical systems and applications, 510 July 2004, Antalya, Turkey, pp. 48-55.
57. Akhmet M.U. Existence and stability of almost periodic solutions of
quasi-linear differential equations with deviating argument,
Applied Mathematics Letters, 17 (2004), 1177-1181.
56. Akhmet M.U., Tleubergenova M., Wexler inequality and almost periodic
solutions of differential equations with deviating argument of mixed type, Neliniyni kolyvannya, 7 (2004),
no. 3, 295-301.
55. Akhmetov, M. and Zafer A., Controllability of two-point
nonlinear boundary-value problems by the numerical-analytic method,
Applied Mathematics and Computation, 151 (2004), no. 3, 729-744.
54. Akhmet, M., Pickl S.W. and Weber G.-W., Algorithmic computational
biology: stability analysis of gene-expression patterns, Computational
Technologies, 9 (2004), The Bulletin of KazNU, Mathematics,
Mechanics and Informatics Issue, 42 (2004), no. 3, 10-17.
53. Akhmet, M., Pickl S.W. and Weber G.-W., Multi-stage dynamic games,
Computational Technologies, 9, (2004), The Bulletin of KazNU,
Mathematics, Mechanics and Informatics Issue, 42 (2004), no. 3, 18-21.
52. Akhmet M.U., On the general problem of stability for impulsive
differential equations, Journal of Mathematical Analysis and
Applications, 288 (2003), 182-196.
51. Akhmet M.U. Tleubergenova M., On Asymptotic equivalence of
impulsive linear homogeneous differential systems, Mathematical
Journal, 2 (2002), no.2, pp.15-18.
50. Akhmetov M., Sejilova R. and Zafer A., The control of boundary value
problems for quasi-linear impulsive integro-differential
equations. Nonlinear Analysis, 48 (2002), no. 2, pp. 271-286.
49. Akhmet M. Language
opportunities for Visualization, Proceedings of Millennium Dawn in Training and
Continuing Education, 1 (2001), pp. 129-131., 24-26 April 2001, Bahrain.
48. Akhmet M. and Sejilova R., On the
control of a boundary value problem for a system of linear impulsive differential
equations with impulse action.
Differential equations, 36 (2000), 10, 1512-1520.
47. Akhmetov M. and Zafer A., Successive Approximation Method
for quasilinear impulsive differential equations with Control.
Applied Math. Letters, 13 (2000), no.5, pp. 99-105.
46. Akhmetov M. and Nagaev R., Periodic solutions of nonlinear impulsive system
in a neighbourhood of quasiperiodic
solution's family. Differential Equations, 36 (2000), no. 6, pp. 799-806.
45. Akhmetov M. and Zafer A., Stability of the zero solution of
impulsive differential equations by the Lyapunov
second method. J. Math. Anal. Appl. ,
248 (2000), pp. 69-82.
44. Akhmetov M. and Sejilova R., Rank criteria of controllability for a
boundary value problem of impulsive integro-differential
system. Ukrainian Mathematical Journal, 52 (2000), no. 6, pp. 723-730.
43. Akhmetov M. and Sejilova R., The control of the boundary value
problem for linear impulsive integro-differential
systems. Journal of Mathematical Analysis and Applications 236
(1999), pp. 312-326.
42. Akhmetov M., Approaching
method of impulsive system with nonfixed impulse
moments.
41. Akhmetov M. and Zafer A., The controllability of boundary
value problems for quasilinear impulsive systems. Nonlinear
analysis, 34 (1998), pp. 1055-1065.
40. Akhmetov M. and Zafer A., Controllability of the Vallee-Poussin problem for impulsive differential systems.
J. Optim. Theory and Appl. 102 (1999), no.2 ,pp. 263-276.
39. M. Akhmetov and Sejilova R., On the boundary value problem for impulsive integro-differential system.
38. Akhmetov M., The
investigation method for vibroimpact mechanisms. 9th
Conference of the European Consortium for Mathematics in Industry. Technical
University of Denmark, Lyngby/Copenhagen. Denmark,
June 25-29, 1996. Abstract, p. 699.
37. Akhmetov M., Tleubergenova M. and Perestyuk
N., The control of linear impulsive
systems. Ukrainskii Matematicheskii Zhurnal, 47
(1995), no. 3, 307-314.
36. Akhmetov M., On almost
periodic solutions of strongly nonlinear impulsive systems. Abstract of ICM,
35. Akhmetov M. and Perestyuk N., On a comparison method for pulse
systems in the space R^n. Ukrainskii Matematicheskii Zhurnal, 46 (1993), no. 6, pp. 753-763.
34. Akhmetov M., On the
smoothness of solutions of differential equations with a discontinuous
right-hand side. Ukrainskii Matematicheskii
Zhurnal, 46 (1993), no.12, pp. 1587-1594.
33. Akhmetov M., On the expansion of solutions to differential equations with
discontinuous right-hand side in a series in initial data and parameters.
Ukrainian Mathematical Journal, 45 (1993), no.5, 786-789.
32. Akhmetov M. and Perestyuk N., Periodic solutions of strongly
nonlinear systems with nonclassical right-hand side
in the case of a family of generating solutions. Ukrainian
Mathematical Journal, 45 (1993), no.2,
215-222.
31. Akhmetov M. and Perestyuk N., Integral sets of quasilinear impulse systems.
Ukrainian Mathematical Journal, 44 (1992), no.1, pp. 1-17.
30. Akhmetov M., Perestyuk N. and Samoilenko A.,
Differential properties of solutions and integral surfaces on nonlinear impulse
systems. Akademia Nauk Ukrainskoi SSR, Institut Matematiki, Preprint, 1990, no. 11, pp. 50.
29. Akhmetov M. and Perestyuk N., Asymptotic expansion of a solution of a
regularly perturbed nonlinear impulse equation. Izvestia Akademii Nauk Kazakhskoi SSR, Seria Fiz.-Mat., (1992), no.1,
pp. 22-25.
28. Akhmetov M. and Perestyuk N., Periodic and almost periodic solutions of
strongly nonlinear impulse systems J. Appl. Math. Mechs,
56 (1992), no.6, pp. 829-837.
27. Akhmetov M. and Perestyuk N., Differential properties of solutions and
integral surfaces of nonlinear impulse systems. Differential equations, 28
(1992), no.4, pp. 445-453.
26. Akhmetov M., Asymptotic representation of solutions of regularly
perturbed systems of differential equations with a non classical right-hand
side. Ukrainian Mathematical Journal, 43 (1991), no.10, pp.
1209-1214.
25. Akhmetov M., Periodic
solutions of non-autonomous systems of differential equations with impulse
action in the critical case. Izvestia Akademii
Nauk Kazakhskoi SSR, Seria Fiz.-Mat., (1991), no.3, pp. 62-65.
24. Akhmetov M., On the
existence of higher-order B-derivatives of solutions of impulse systems with respect
to initial data. Izvestia Akademii Nauk
Kazakhskoi SSR, Seria Fiz.-Mat., (1991), no.1, pp. 15-17.
23. Akhmetov M., Asymptotic
representation of solutions of regularly perturbed systems of differential
equations with a non classical right-hand side. Ukrainian Mathematical Journal,
43 (1991), no. 10, pp. 1298-1304.
22. Akhmetov M. and Perestyuk N., Periodic solutions of quasi-linear
impulse systems in the critical case. Ukrainian Mathematical
Journal, 43 (1991), no.3, pp. 273-279.
21. Akhmetov M., Periodic
solutions of systems of differential equations with a non classical right-hand
side containing a small parameter. TIC: Collection: asymptotic solutions of non
linear equations with small parameter. 1991, pp. 11-15. UBL: Akademia Nauk Ukrainskoi
SSR, Institut Matematiki,
20. Akhmetov M. and Perestyuk N., The comparison method for differential
equations with impulse action. Differential Equations, 26 (1990), no.9, pp.
1079-1086.
19. Akhmetov M.,
Quasiperiodic solutions of systems with impulses. Asymptotic methods in
problems of mathematical physics. Publ: Akademia Nauk Ukrainskoi
SSR, Institut Matematiki,
18. Akhmetov M. and Perestyuk N., Stability of periodic solutions of
differential equations with impulse action on surfaces.
Ukrainian Mathematical Journal, 41 (1989), no.12, pp. 1368-1372.
17. Akhmetov M. and Perestyuk N., Differentiable dependence of
solutions of impulse systems on initial data. Ukrainskii Matematicheskii Zhurnal, 41 (1989), no.8, pp. 1028-1033.
16. Akhmetov, M., Salzhanova, M.B. Almost periodic solution of systems of
linear discrete equations. TIC: Collection: Studies on differential equations
and their applications.
15. Akhmetov M., Perestyuk N. and Samoilenko A.,
The Comparison Method for systems of differential equations with impulse
action. Akademia auk Ukrainskoi
SSR, Institut Matematiki,
Preprint, 1989, no.3, pp. 51.
14. Akhmetov M. and Perestyuk N., Almost periodic solutions of
nonlinear impulse systems. Ukrainian Mathematical Journal, 41
(1989), no.3, pp. 259-263.
13. Akhmetov M. and Perestyuk N., On motion with impulse action on a surface. .
Izvestia Akademii Nauk Kazakhskoi SSR, Seria
Fiz.-Mat., (1988), no.1, pp. 11-14.
12. Akhmetov M. and Perestyuk N., Almost periodic solutions of nonlinear
sampled-data systems. Doklady Akademii
Nauk Ukrainskoi SSR, Seria A, (1988), no.1, pp. 3-6.
11. Akhmetov M., Recurrent
and almost periodic solutions of nonautonomous
sampled-data systems. Izvestia Akademii
Nauk Kazakhskoi SSR, Seria Fiz.-Mat., (1988), no.3, pp.8-10.
10. Akhmetov M., Periodic
solutions of systems of differential equations with impulse actions on
surfaces. TIC: Collection: Application of asymptotic methods in the theory of nonlinear
differential equations, (1987), pp. 11-17. PUBL: AN Ukrain.
SSR, Inst. Mat.,
9. Akhmetov M., Almost
periodic solutions of integro-differential equations
with impulse action. Matematicheskaya
Fizika, Akademia Nauk Ukrainskoi SSR, Institut Matematiki, (1987), no 42, pp.
5-9.
8. Akhmetov M. and Perestyuk N., Almost periodic solutions of sampled-data
systems. Ukrainskii Matematicheskii
Zhurnal, 39 (1987), no.1, pp. 74-80.
7. Akhmetov M. and Perestyuk N., Necessary and sufficient conditions for
stability of characteristic exponents of a linear system of differential
equations with impulse action. Doklady AN Ukrainskoi SSR, Seria A, (1985),
no.3, pp. 3-5.
6. Akhmetov M., Existence of
almost periodic solutions of systems with impulse action. Vestnik
Kievskogo Universiteta, Seria Matematika i Mekhanika, (1984), no.26, pp.
3-7.
5. Akhmetov M. and Perestyuk N., Almost periodic solutions of a class systems
with impulse action. Ukrainskii Matematicheskii
Zhurnal, 36 (1984), no.4, pp. 486-490.
4. Akhmetov M., Periodic
solutions of a class of systems with impulse actions. Izvestia Akademii Nauk Kazakhskoi SSR, Seria Fiz.-Mat., (1984), no.1,
pp. 13-17.
3. Akhmetov M., Periodic and
almost periodic solutions of systems with impulse action. Matematicheskaya Fizika, Akademia Nauk Ukrainskoi SSR,
Institut Matematiki, (1983), no.34, pp. 3-8.
2. Akhmetov M., Perestyuk N. and Samoilenko A.,
Almost periodic solutions of differential equations with impulse action. Akademia Nauk Ukrainskoi
SSR, Institut Matematiki,
Preprint, 1983, no.26, pp. 45.
1. Akhmetov M., Periodic
solutions of some systems of differential equations. Vestnik
Kievskogo Universiteta, Seria Matematika i Mekhanika, (1982), no. 24, pp.
3-7.
PREPRINTS
1. Akhmet M.U., Almost
periodic solutions of differential equations with piecewise constant argument
of generalized type.
2. Akhmet M.U., On the
reduction principle for the hybrid equation.
3. Akhmet M.U., Integral manifolds of differential
equations with piecewise constant argument of generalized type.
4. Akhmet M.U., Bekmukhambetova G. and Serinagaglu
Y., The dynamics of the systemic arterial pressure through impulsive
differential equations.
5. Akhmet M.U., Beklioglu M., Ergenc T. and Tkachenko V., On impulsive ratio-dependent predator-prey
system with diffusion.
6. Akhmet, M.U., Oktem H., Pickl S.W. and Weber
G.-W., Anticipatory extension of Malthusian model.
7. Akhmet M.U. and Ugur O., Boundary value problems for higher order linear
impulsive differential equations.
8. Akhmet M.U. and Ugur O., The Sturm-Liouville operator on the space of functions with
discontinuity conditions.
9. Akhmet M.U. , A prototype
compartmental model of the blood pressure distribution .
10. Akhmet M.U., Buyukadali C., T. Ergenc,
Periodic solutions of the hybrid system with small parameter.
11. Akhmet M.U., On the
reduction principle for differential equations with piecewise constant argument
of generalized.