Coexistence of some chaos synchronization types in fractional-order differential equations

Date

2017-05-10

Authors

Ouannas, Adel
Abdelmalek, Salem
Bendoukha, Samir

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

Referring to incommensurate and commensurate fractional systems, this article presents a new approach to investigate the coexistence of some synchronization types between non-identical systems characterized by different dimensions and different orders. In particular, the paper shows that complete synchronization (CS), anti-synchronization (AS) and inverse full state hybrid function projective synchronization (IFSHFPS) coexist when synchronizing a three-dimensional master system with a four-dimensional slave system. The approach is based on two new results involving stability theory of linear fractional systems and the fractional Lyapunov method. A number of examples are provided to highlight the applicability of the method.

Description

Keywords

Chaos synchronization, Fractional-order systems, Coexistence, Fractional Lyapunov approach

Citation

Ouannas, A., Abdelmalek, S., & Bendoukha, S. (2017). Coexistence of some chaos synchronization types in fractional-order differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(128), pp. 1-15.

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Attribution 4.0 International

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