Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain
parameters |
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Authors: | Jia Zhen Lu Jun-An Deng Guang-Ming and Zhang Qun-Jiao |
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Affiliation: | Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004, China; School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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Abstract: | In this paper is investigated the generalized projective
synchronization of a class of chaotic (or hyperchaotic) systems, in
which certain parameters can be separated from uncertain parameters.
Based on the adaptive technique, the globally generalized projective
synchronization of two identical chaotic (hyperchaotic) systems is
achieved by designing a novel nonlinear controller. Furthermore, the
parameter identification is realized simultaneously. A sufficient
condition for the globally projective synchronization is obtained.
Finally, by taking the hyperchaotic Lü system as example, some
numerical simulations are provided to demonstrate the effectiveness
and feasibility of the proposed technique. |
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Keywords: | Chaotic system hyperchaotic
system generalized projective synchronization parameter
identification |
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