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Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems

Article scientifique 2018 Anglais

Résumé

This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized by different dimensions and orders. Specifically, a new theorem is illustrated, which ensures the coexistence of the full-state hybrid function projective synchronization ( FSHFPS ) and the inverse full-state hybrid function projective synchronization ( IFSHFPS ) between wide classes of three-dimensional master systems and four-dimensional slave systems. In order to show the capability of the approach, a numerical example is reported, which illustrates the coexistence of FSHFPS and IFSHFPS between the incommensurate chaotic fractional-order unified system and the incommensurate hyperchaotic fractional-order Lorenz system .

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Ouannas, A., Grassi, G., Wang, X., Ziar, T., Pham, V. (2018). Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems. https://doi.org/10.1186/s13662-018-1772-y

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Auteur(s)

Adel Ouannas Giuseppe Grassi Xiong Wang Toufik Ziar Viet–Thanh Pham

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