Discrete dynamical systems: dynamics, bifurcations and integrability

  1. Dynamics of 2-dimensional maps derived from a discrete generalized sine-Gordon equation.  In this work we investigate the dynamics of a two dimensional maps derived from a generalized sine-Gordon partial difference equations. A system of ordinary difference equations of two and three dimension, is derived using the standard staircase of (1,1)- and (2,1)- type. We study the dynamics of the system by studying the level sets of the integral function of the mapping, for various initial conditions.
  2. Chaotic dynamics in a kicked harmonic oscillator.     


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