Chaotic and Hyperchaotic Complex Jerk Equations

Gamal M. Mahmoud, Mansour E. Ahmed

Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt.

DOI: 10.4236/ijmnta.2012.11002                

Abstract

The aim of this paper is to introduce and investigate chaotic and hyperchaotic complex jerk equations. The jerk equations describe various phenomena in engineering and physics, for example, electrical circuits, laser physics, mechanical oscillators, damped harmonic oscillators, and biological systems. Properties of these systems are studied and their Lyapunov exponents are calculated. The dynamics of these systems is rich in wide range of systems parameters. The control of chaotic attractors of the complex jerk equation is investigated. The Lyapunov exponents are calculated to show that the chaotic behavior is converted to regular behavior.

Keywords

Hyperchaotic; Chaotic; Attractors; Lyapunov Exponents; Jerk Function; Control; Complex

Conflicts of Interest

The authors declare no conflicts of interest.

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