MA 277: Nonlinear Dynamical Systems and Chaos

Credits: 3:0

Conservative Systems: Hamiltonians, canonical transformations, nonlinear pendulum, perturbative methods, standard map, Lyapunov exponents, chaos, KAM theorem, Chirikov criterion.

Dissipative Systems: logistics map, period doubling, chaos, strange attractors, fractal dimensions, Smale horseshoe, coupled maps, synchronization, control of chaos.

Suggested books and references:

  1. Lichtenberg, A. J. and Lieberman, M. A., Regular and Stochastic motion, Springer-Verlag, 1983.
  2. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical Systems and bifurcations of vector fields, Springer-Verlag, 1983.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 23 Apr 2024