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Chaos On A Simple Rational Planar Map

Type: 
Conference PaperInvited and refereed articles in conference proceedings
Authored by:
Somarakis, Christoforos., Baras, John S.
Conference date:
May 31 - June 3, 2011
Conference:
4th Chaotic Modeling and Simulation International Conference (CHAOS 2011), pp. 1-9
Full Text Paper: 
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, interior crisis, hyper-chaos etc. In this work, strange attractors, bifurcation diagrams, periodic indows, invariant characteristics are investigated both analytically and numerically.