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Hidden Coexisting Attractors in a Fractional-Order System without Equilibrium: Analysis, Circuit Implementation, and Finite-Time Synchronization
Joint Authors
Liu, Chongxin
Zheng, Guangchao
Liu, Ling
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a novel three-dimensional fractional-order chaotic system without equilibrium, which can present symmetric hidden coexisting chaotic attractors, is proposed.
Dynamical characteristics of the fractional-order system are analyzed fully through numerical simulations, mainly including finite-time local Lyapunov exponents, bifurcation diagram, and the basins of attraction.
In particular, the system can generate diverse coexisting attractors varying with different orders, which presents ample and complex dynamic characteristics.
And there is great potential for secure communication.
Then electronic circuit of the fractional-order system is designed to help verify its effectiveness.
What is more, taking the disturbances into account, a finite-time synchronization of the fractional-order chaotic system without equilibrium is achieved and the improved controller is proven strictly by applying finite-time stable theorem.
Eventually, simulation results verify the validity and rapidness of the proposed method.
Therefore, the fractional-order chaotic system with hidden attractors can present better performance for practical applications, such as secure communication and image encryption, which deserve further investigation.
American Psychological Association (APA)
Zheng, Guangchao& Liu, Ling& Liu, Chongxin. 2019. Hidden Coexisting Attractors in a Fractional-Order System without Equilibrium: Analysis, Circuit Implementation, and Finite-Time Synchronization. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1196723
Modern Language Association (MLA)
Zheng, Guangchao…[et al.]. Hidden Coexisting Attractors in a Fractional-Order System without Equilibrium: Analysis, Circuit Implementation, and Finite-Time Synchronization. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1196723
American Medical Association (AMA)
Zheng, Guangchao& Liu, Ling& Liu, Chongxin. Hidden Coexisting Attractors in a Fractional-Order System without Equilibrium: Analysis, Circuit Implementation, and Finite-Time Synchronization. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1196723
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196723