Dual synchronization of chaotic and hyperchaotic systems
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Authors
A. Almatroud Othman
- School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia.
M. S. M. Noorani
- School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia.
M. Mossa Al-Sawalha
- Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia.
Abstract
The existence of the dual synchronization behavior between a pair of chaotic and hyperchaotic systems is
investigated via a nonlinear controller, in which the nonlinear functions of the system are used as a nonlinear
feedback term. The sufficient conditions for achieving the dual synchronization behavior between a pair of
chaotic and hyperchaotic systems using a nonlinear feedback controller are derived by using the Lyapunov
stability theorem. The dual synchronization behavior between a pair of chaotic systems (Chen and Lorenz
system) and a pair of hyperchaotic systems hyperchaotic Chen system and hyperchaotic Lü system are
taken as two illustrative examples to show the effectiveness of the proposed method. Theoretical analysis
and numerical simulations are performed to verify the results.
Share and Cite
ISRP Style
A. Almatroud Othman, M. S. M. Noorani, M. Mossa Al-Sawalha, Dual synchronization of chaotic and hyperchaotic systems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4666--4677
AMA Style
Othman A. Almatroud, Noorani M. S. M., Al-Sawalha M. Mossa, Dual synchronization of chaotic and hyperchaotic systems. J. Nonlinear Sci. Appl. (2016); 9(6):4666--4677
Chicago/Turabian Style
Othman, A. Almatroud, Noorani, M. S. M., Al-Sawalha, M. Mossa. "Dual synchronization of chaotic and hyperchaotic systems." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4666--4677
Keywords
- Dual synchronization
- chaos
- hyperchaos
- lyapunov stability theory.
MSC
- 34D06
- 93C15
- 93C10
- 34H10
- 93C95
- 93D05
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