A New Fractional-Order Chaotic Complex System and Its Antisynchronization
Joint Authors
Liu, Shutang
Jiang, Cuimei
Luo, Chao
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose a new fractional-order chaotic complex system and study its dynamical properties including symmetry, equilibria and their stability, and chaotic attractors.
Chaotic behavior is verifiedwith phase portraits, bifurcation diagrams, the histories, and the largest Lyapunov exponents.
And we find that chaos exists in this system with orders less than 5 by numerical simulation.
Additionally, antisynchronization of different fractional-order chaotic complex systems is considered based on the stability theory of fractional-order systems.
This new system and the fractional-order complex Lorenz system can achieve antisynchronization.
Corresponding numerical simulations show the effectiveness and feasibility of the scheme.
American Psychological Association (APA)
Jiang, Cuimei& Liu, Shutang& Luo, Chao. 2014. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033692
Modern Language Association (MLA)
Jiang, Cuimei…[et al.]. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033692
American Medical Association (AMA)
Jiang, Cuimei& Liu, Shutang& Luo, Chao. A New Fractional-Order Chaotic Complex System and Its Antisynchronization. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033692