A special full-state hybrid projective synchronization in symmetrical chaotic systems |
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Authors: | Rui-hong Li |
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Affiliation: | aDepartment of Applied Mathematics, Xidian University, Xi’an 710071, PR China |
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Abstract: | A special full-state hybrid projective synchronization type is proposed in this paper. The anti-synchronization and complete synchronization can be achieved simultaneously in this new synchronization phenomenon. We point out how to realize this synchronization in chaotic systems: anti-synchronization in symmetrical coordinate subspace and complete synchronization in its normal coordinate subspace. Two illustrative examples, multi-scroll chaotic system by the partial Lyapunov stability theory, and a four-dimensional chaotic system by the invariance principle of differential equation are presented to exhibit this new synchronization. |
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Keywords: | Anti-synchronization Complete synchronization Symmetric chaotic systems |
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