Generalized synchronization of continuous dynamical system

ZHANG Gang;LIU Zeng-rong;MA Zhong-jun

doi:10.1007/s10483-007-0203-y

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 2: 157 - 162

DOI: https://doi.org/10.1007/s10483-007-0203-y

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Generalized synchronization of continuous dynamical system

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1. Department of Mathematics, Shijiazhuang College, Shijiazhuang 050035, P. R. China;
2. Institute of System Biology, Shanghai University, Shanghai 200444, P. R. China;
3. College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Received date: 2005-03-18

Revised date: 2006-11-30

Online published: 2007-02-18

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Abstract

Generalized synchronization between two continuous dynamical systems is discussed. By exploring the Liapunov stability theory and constructing appropriately unidirectional coupling term, a sufficient condition for determining the generalized synchronization between continuous systems is proved. Two examples are used to show the effectiveness of this result.

Key words： generalized synchronization; differentiable generalized synchronization; liapunov function

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ZHANG Gang;LIU Zeng-rong;MA Zhong-jun . Generalized synchronization of continuous dynamical system[J]. Applied Mathematics and Mechanics, 2007 , 28(2) : 157 -162 . DOI: 10.1007/s10483-007-0203-y

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