2013•American Journal of Computational and Applied MathematicsOpen access

Forming Mechanizm of Bhalekar-Gejji Chaotic Dynamical System

Sachin Bhalekar

Abstract

Chaotic dynamical systems are used to model various natural phenomena. Bhalekar-Gejji chaotic dynamical system is a system of three ordinary differential equations containing only two nonlinear terms. This system shows two-scroll butterfly-shaped attractor for certain values of parameters. In this article we show that the two-scroll attractor in this system is formed from two one-scroll attractors. We have used a control parameter in the third equation of the system to study the forming procedure of the attractor.

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Key concepts: Attractor, Scroll, Rössler attractor, Chaotic, Butterfly effect, Ordinary differential equation, Mathematics, Nonlinear system