Applied Mathematics and Mechanics (English Edition) ›› 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

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

    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:2005-03-18 Revised:2006-11-30 Online:2007-02-18 Published:2007-02-18
  • Contact: LIU Zeng-rong

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

2010 MSC Number: 

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