Discrete dynamical systems: dynamics, bifurcations and integrability
- Dynamics of 2-dimensional maps derived from a discrete Sine-Gordon equation. In this work we investigate the dynamics of a two dimensional maps. This maps is integrable, however interesting (or maybe even wild) behavior is still observed due to the presence of singularities of the map.
- On a generalized Sine-Gordon ordinary difference equation. We study the integrals of a mapping derived from the generalized Sine-Gordon equation. We are looking for structure of these integal as the dimension of the maps increases.
- Chaotic dynamics in a kicked harmonic oscillator.