GENERAL

Adaptive Increasing-Order Synchronization and Anti-Synchronization of Chaotic Systems with Uncertain Parameters

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2011 Chinese Physical Society and IOP Publishing Ltd
, , Citation Al-sawalha M. Mossa and Noorani M. S. M. 2011 Chinese Phys. Lett. 28 110507 DOI 10.1088/0256-307X/28/11/110507

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Author affiliations

1 Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia

2 Center for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Dates

  1. Received 18 February 2011
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0256-307X/28/11/110507

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.

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