Chaotic behavior of a discrete dynamical systems with complex parameter

Ahlam Hassan; El Sayed; EL Refai

doi:10.24297/jam.v11i2.1284

Chaotic behavior of a discrete dynamical systems with complex parameter

Authors

Ahlam Hassan Faculty of Science, Alexandria University, Alexandria
El Sayed Faculty of Science, Alexandria University, Alexandria
EL Refai Faculty of Science, Alexandria University, Alexandria

DOI:

https://doi.org/10.24297/jam.v11i2.1284

Keywords:

Logistic equation, complex variable, xed points, asymptotic stability, Lya- punov exponent, bifurcation, chaos and chaotic attractor.

Abstract

In this paper, we present the equivalent system of complex logistic equation. We study some dynamic properties such as xed points and their asymptotic stability, Lyapunov ex-ponents, chaos and bifurcation. Numerical results which conrm the theoretical analysis are presented.

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Published

2015-08-21

How to Cite

Hassan, A., Sayed, E., & Refai, E. (2015). Chaotic behavior of a discrete dynamical systems with complex parameter. JOURNAL OF ADVANCES IN MATHEMATICS, 11(2), 4041–4052. https://doi.org/10.24297/jam.v11i2.1284