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 :

  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 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in