Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system |
| |
| Authors: | Gamal M Mahmoud Shaban A Aly M A AL-Kashif |
| |
| Institution: | (1) Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt;(2) Department of Mathematics, Faculty of Science, AL-Azhar University, Assiut, 71516, Egypt |
| |
| Abstract: | In this paper, we introduce a new chaotic complex nonlinear system and study its dynamical properties including invariance,
dissipativity, equilibria and their stability, Lyapunov exponents, chaotic behavior, chaotic attractors, as well as necessary
conditions for this system to generate chaos. Our system displays 2 and 4-scroll chaotic attractors for certain values of
its parameters. Chaos synchronization of these attractors is studied via active control and explicit expressions are derived
for the control functions which are used to achieve chaos synchronization. These expressions are tested numerically and excellent
agreement is found. A Lyapunov function is derived to prove that the error system is asymptotically stable. |
| |
| Keywords: | 2 and 4-scroll Chaotic attractor Chaos Synchronization Active control Error system Complex variables Dissipative dynamics Equilibria and stability |
| 本文献已被 SpringerLink 等数据库收录！ |
|
