Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters
M. Mossa Al-sawalha1, M. S. M. Noorani2
1Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia 2Center for Modelling & Data Analysis,School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters
M. Mossa Al-sawalha1, M. S. M. Noorani2
1Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia 2Center for Modelling & Data Analysis,School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
摘要We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters. It is shown that the dynamical evolution of a third-order chaotic system can be synchronized and anti-synchronized with a fourth-order chaotic system even though their parameters are unknown. Theoretical analysis and numerical simulations are carried out to verify the results.
Abstract：We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters. It is shown that the dynamical evolution of a third-order chaotic system can be synchronized and anti-synchronized with a fourth-order chaotic system even though their parameters are unknown. Theoretical analysis and numerical simulations are carried out to verify the results.
M. Mossa Al-sawalha;M. S. M. Noorani
. Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters[J]. 中国物理快报, 2011, 28(11): 110507-110507.
M. Mossa Al-sawalha, M. S. M. Noorani
. Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters. Chin. Phys. Lett., 2011, 28(11): 110507-110507.
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2011, Vol. 28 
