2016•International Journal of Bifurcation and ChaosRequires access

A Chaotic System with Different Shapes of Equilibria

Viet–Thanh Pham, Sajad Jafari, Xiong Wang, Jun Ma

Abstract

Although many chaotic systems have been introduced in the literature, a few of them possess uncountably infinite equilibrium points. The aim of our short work is to widen the current knowledge of the chaotic systems with an infinite number of equilibria. A three-dimensional system with special properties, for example, exhibiting chaotic attractor with circular equilibrium, chaotic attractor with ellipse equilibrium, chaotic attractor with square-shaped equilibrium, and chaotic attractor with rectangle-shaped equilibrium, is proposed.

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Available abstract

Key concepts: Attractor, Chaotic, Chaotic hysteresis, Crisis, Rössler attractor, Rectangle, Ellipse, Equilibrium point