Chaotic and Hyperchaotic Complex Jerk Equations  

作　　者：Gamal M. Mahmoud Mansour E. Ahmed 

机构地区：[1]Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

出　　处：《International Journal of Modern Nonlinear Theory and Application》2012年第1期6-13,共8页现代非线性理论与应用（英文）

摘　　要：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.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.

关 键 词：HYPERCHAOTIC CHAOTIC ATTRACTORS Lyapunov EXPONENTS JERK Function Control COMPLEX 

分 类 号：O1[理学—数学]