A robust method for new fractional hybrid chaos synchronization |
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| Authors: | Adel Ouannas Ahmad Taher Azar Sundarapandian Vaidyanathan |
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| Affiliation: | 1. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa, Algeria;2. Faculty of Computers and Information, Banha University, Banha, Egypt;3. Research and Development Centre, Vel Tech University, Chennai, Tamil Nadu, India |
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| Abstract: | In this paper, a robust mathematical method is proposed to study a new hybrid synchronization type, which is a combining generalized synchronization and inverse generalized synchronization. The method is based on Laplace transformation, Lyapunov stability theory of integer‐order systems and stability theory of linear fractional systems. Sufficient conditions are derived to demonstrate the coexistence of generalized synchronization and inverse generalized synchronization between different dimensional incommensurate fractional chaotic systems. Numerical test of the method is used. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | fractional chaos coexistence generalized synchronization inverse generalized synchronization different dimensions |
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