Faculty of Science

Objectives

To provide comprehensive understanding of complex behaviours of nonlinear physical systems, with an emphasis on chaos and the general theory of control of nonlinear dynamical systems.

Contents

Characterization of chaos in different systems, bifurcations, Rossler system, mappings, Poincaré section, p-cycles, folding and stretching, Lyapunov exponents, Henon map, saddle manifolds, homoclinic tangles, and basin of attraction, fractals and fractal dimensions.