Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-015-0586-4
Keywords
fractional-order chaos; chaos with complex variable; modified generalized projective synchronization
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Funding
- National Nature Science Foundation of China [61273088, 61473133]
- Nature Science Foundation of Shandong Province, China [ZR2014FL015]
- Foundation for University Young Key Teacher Program of Shandong Provincial Education Department, China
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This paper introduces a type of modified generalized projective synchronization with complex transformation matrix (CMGPS) for fractional-order complex chaos and real chaos with the same dimension and different structures. The transformation matrix in this type of chaos synchronization is a non-diagonal square matrix, and its elements are complex numbers. Based on the stability theory of fractional-order systems, necessary and sufficient criteria are established to guarantee CMGPS for the fractional-order complex chaos and fractional-order real chaos, and for two fractional-order complex chaotic systems, respectively. Numerical examples are provided to illustrate the feasibility and effectiveness of our theoretical results.
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