NONLINEAR DYNAMICAL SYSTEMS AND CHAOS

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.

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Last updated: 20 May 2024