Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 16, Issue 6, Pages 2628-2640Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2010.09.016
Keywords
Fractional-order hyperchaotic system (FOHS); Feedback control; Laplace transform; Synchronization; Lu hyperchaotic system
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Funding
- National 863 Key Programme of China [2008AA042902]
- National Natural Science Foundation of China [61075060, 61075015]
- State Key Laboratory of Industrial Control Technology
- Natural Science Foundation of Hubei Province, PR China [2007ABA408]
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This work investigates chaos synchronization between two different fractional-order hyperchaotic system (FOHS)s. A novel FOHS is also proposed in this paper. The Chen FOHS is controlled to be a new FOHS and the Lu FOHS, respectively. The analytical conditions for the synchronization of these pairs of different FOHSs are derived by utilizing Laplace transform. Furthermore, synchronization between two different FOHSs is achieved by utilizing feedback control method in a quite short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
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