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A fractional-order form of a system with stable equilibria and its synchronization

Article scientifique 2018 Anglais

Résumé

There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form of a system with stable equilibrium is introduced. It is interesting that such a three-dimensional fractional system can exhibit chaotic attractors. Full-state hybrid projective synchronization scheme and inverse full-state hybrid projective synchronization scheme have been designed to synchronize the three-dimensional fractional system with different four-dimensional fractional systems. Numerical examples have verified the proposed synchronization schemes.

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Wang, X., Ouannas, A., Pham, V., Abdolmohammadi, H. (2018). A fractional-order form of a system with stable equilibria and its synchronization. https://doi.org/10.1186/s13662-018-1479-0

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