Chaos On A Simple Rational Planar Map

Chaos On A Simple Rational Planar Map

Title : Chaos On A Simple Rational Planar Map
Authors :
Somarakis, Christoforos
Baras, John, S.
Conference : 4th Chaotic Modeling and Simulation International Conference (CHAOS 2011) pp. 1-9
Date: May 31 - June 03, 2011

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, interior crisis, hyper-chaos etc. In this work, strange attractors, bifurcation diagrams, periodic indows, invariant characteristics are investigated both analytically and numerically.

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