In this paper, a new type of chaos synchronization in discrete-time is proposed by combining matrix projective synchronization (MPS) and generalized synchronization (GS). This new chaos synchronization type allows us to study synchronization between different dimensional discrete-time chaotic systems in different dimensions. Based on nonlinear controllers and Lyapunov stability theory, effective control schemes are introduced and new synchronization criterions are derived. Numerical simulations are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.
A New Generalized-Type of Synchronization for Discrete-Time Chaotic Dynamical Systems
and Computer Science,
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 10, 2014; final manuscript received March 30, 2015; published online April 28, 2015. Assoc. Editor: Mohammad Younis.
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Ouannas, A. (November 1, 2015). "A New Generalized-Type of Synchronization for Discrete-Time Chaotic Dynamical Systems." ASME. J. Comput. Nonlinear Dynam. November 2015; 10(6): 061019. https://doi.org/10.1115/1.4030295
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