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.     

fraktal.JPG

Leave a Reply

Your email address will not be published. Required fields are marked *

*

You may use these HTML tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>

To use reCAPTCHA you must get an API key from https://www.google.com/recaptcha/admin/create