Adaptive Synchronization and Anti-Synchronization of a Chaotic Lorenz–Stenflo System with Fully Unknown Parameters

doi:10.1088/0256-307X/30/7/070502

Chin. Phys. Lett.

2013, Vol. 30

Issue (7): 070502 DOI: 10.1088/0256-307X/30/7/070502

GENERAL

Adaptive Synchronization and Anti-Synchronization of a Chaotic Lorenz–Stenflo System with Fully Unknown Parameters

M. Mossa Al-sawalha^**

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

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M. Mossa Al-sawalha 2013 Chin. Phys. Lett. 30 070502

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Abstract An adaptive control scheme is developed to study the synchronization and the anti-synchronization behaviors between two identical Lorenz–Stenflo systems with unknown parameters. This adaptive controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. Theoretical analysis and numerical simulations are shown to verify the results.

Received: 07 February 2013 Published: 21 November 2013

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	47.52.+j	(Chaos in fluid dynamics)
	89.75.-k	(Complex systems)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/7/070502 OR https://cpl.iphy.ac.cn/Y2013/V30/I7/070502

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	M. Mossa Al-sawalha

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