John S. Baras


On the Dynamics of a Simple Rational Planar Map

Christoforos Somarakis and John S. Baras

International Journal of Bifurcation and Chaos (IJBC), Vol. 23, Issue 6, pp. 1330021.1-1330021.21, July 2013.

Full Text Paper (.pdf)


The dynamics of the map




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.

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

Biography | Site Map | Contact Dr. Baras | Send Feedback | ©2009 ISR