On the Dynamics of a Simple Rational Planar Map

On the Dynamics of a Simple Rational Planar Map

Title : On the Dynamics of a Simple Rational Planar Map
Authors :
Somarakis, Christoforos
Baras, John, S.
Conference : International Journal of Bifurcation and Chaos (IJBC) Vol. 23, Issue 6, pp. 1330021.1-1330021.21
Date: June 01 - June 01, 2013

are discussed for various values of it’s parameters. Despite the simple algebraic structure, this map, recently introduced in the literature, is very rich in non-linear phenomena. Multiple strange attractors, transitions to chaos via period doubling bifurcations, quasiperiodicity as well as intermittency, interior crisis, hyper-chaos are only a few. In this work, strange attractors, bifurcation diagrams, periodic windows, invariant characteristics are investigated both analytically and numerically.

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