Fractional analysis of co-existence of some types of chaos synchronization. (December 2017)

• Record Type: Journal Article
• Authors: Ouannas, Adel; Odibat, Zaid; Hayat, Tasawar
• Is Part Of: Chaos, solitons and fractals. Volume 105(2017)
• Page Start: 215
• Page End: 223
• Publication Date: 2017-12
• Subjects: Fractional chaos -- Co-existence -- Inverse full state hybrid projective synchronization -- Inverse generalized synchronization -- Θ−Φ synchronization -- Q-S synchronization; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.10.031
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: Chaotic dynamics and synchronization of fractional-order systems have attracted much attention recently. Based on stability theory of fractional-order systems and stability theory of integer-order systems, this paper deals with the problem of coexistence of various types of synchronization between different dimensional fractional-order chaotic systems. To illustrate the capabilities of the novel schemes proposed herein, numerical and simulation results are given.