Function projective synchronization in partially linear drive–response chaotic systems

doi:10.1088/1674-1056/19/12/120511

Abstract This paper gives the definition of function projective synchronization with less conservative demand for a scaling function, and investigates the function projective synchronization in partially linear drive–response chaotic systems. Based on the Lyapunov stability theory, it has been shown that the function projective synchronization with desired scaling function can be realized by simple control law. Moreover it does not need scaling function to be differentiable, bounded and non-vanished. The numerical simulations are provided to verify the theoretical result.

Keywords: function projective synchronization projective synchronization scaling function partially linear system

Received: 27 February 2010
Revised: 13 May 2010
Accepted manuscript online:

PACS:	02.30.Sa	(Functional analysis)
	02.30.Yy	(Control theory)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60875036) and the Program for Innovative Research Team of Jiangnan University.

Cite this article:

Zhang Rong(张荣) and Xu Zhen-Yuan(徐振源) Function projective synchronization in partially linear drive–response chaotic systems 2010 Chin. Phys. B 19 120511

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