PHYSICS 435 &  436 Introduction to Nonlinear Dynamical Systems & Chaos (3- 0)
CONTENTS:	Systems of first order differential equations Classification of fixed points Flows on a circle Bifurcations, phase portraits, limit cycles Poincare Bendixson theorem Closed orbits  and  periodic motion Lienard systems Hopf bifurcations Lorenz equations
REFERENCES:	SH STROGATZ ,  Nonlinear Dynamics and Chaos (1994). RC HILBORN ,  Chaos and Nonlinear Dynamics (1994). DK AROWSMITH, CM PLACE,  Dynamical Systems - Differential Equations, Maps and Chaotic Behavior (1992).
USEFUL PAPERS and LINKS:	S.O.S.Math Nonlinear Physics: Integrability, Chaos and Beyond  by   M. LAKSHMANAN (1997). Classical and Quantum Chaos by D. A. Steck (2002). On the impact of deterministic chaos on modern science and philosophy of science by T. Leiber (1998). Research Questions for the Three Body Problem Chaos and Weather Nonlinear dynamics and chaos: LAB  DEMOSTRATIONS