ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS

Gamal M. Mahmoud (), Mansour E. Ahmed () and Emad E. Mahmoud ()
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Gamal M. Mahmoud: Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Mansour E. Ahmed: Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Emad E. Mahmoud: Department of Mathematics, Faculty of Science, Sohag University, Egypt

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 10, 1477-1494

Abstract: This paper introduces and analyzes new hyperchaotic complex Lorenz systems. These systems are 6-dimensional systems of real first order autonomous differential equations and their dynamics are very complicated and rich. In this study we extend the idea of adding state feedback control and introduce the complex periodic forces to generate hyperchaotic behaviors. The fractional Lyapunov dimension of the hyperchaotic attractors of these systems is calculated. Bifurcation analysis is used to demonstrate chaotic and hyperchaotic behaviors of our new systems. Dynamical systems where the main variables are complex appear in many important fields of physics and communications.

Keywords: Dynamics; complex; hyperchaotic; chaotic; Lyapunov exponent; Lyapunov dimension; stability; fixed points; bifurcation; periodic; quasi-periodic (2-tours) (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (10)

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DOI: 10.1142/S0129183108013151

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