Chaos On A Simple Rational Planar Map

C. Somarakis and J. S. Baras

Proceedings of the 4th Chaotic Modeling and Simulation International Conference (CHAOS 2011), pp. 1-9, Agios Nikolaos Crete Greece, May 31 - June 3, 2011.

Abstract

The dynamics of a 2-D rational map are studied for various values of it’s control parameters. Despite it’s simple structure this model is very rich in non-linear phenomena such as, multi-scroll strange attractors, transitions to chaos via period doubling bifurcations, quasi-periodicity as well as intermittency, inte- rior crisis, hyper-chaos etc. In this work, strange attractors, bifurcation diagrams, periodic indows, invariant characteristics are investigated both analytically and numerically.

Keywords: 2-D nonlinear maps, Chaos, Quasiperiodicity, Hyperchaos.