Abstract
This paper investigates synchronization within the new systems, which we denote as Liu system in this paper. New stability criteria for synchronization of linearly coupled Liu systems are attained using the Lyapunov method. Some sufficient conditions for synchronization are concluded through rigorous mathematical theory, which can be further applied to more chaotic systems. Moreover, numerical simulations are given to show the effectiveness of our synchronization criterions.
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Foundation item: Supported by the National Key Basic Research and Development 973 Program of China (2003CB415200) and State Key Laboratory of Water Resources and Hydropower Engineering Science (2004C011)
Biography: LU Jun-an (1945-), male, Professor, research direction: chaos control and synchronization, complex networks
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Jun-an, L., Jin, Z. & Yi-tian, L. Linearly coupled synchronization of the new chaotic systems. Wuhan Univ. J. Nat. Sci. 10, 993–996 (2005). https://doi.org/10.1007/BF02832454
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DOI: https://doi.org/10.1007/BF02832454