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Dynamics Feature and Synchronization of a Robust Fractional-Order Chaotic System
Joint Authors
Li, Chun-Lai
Yang, Xuan-Bing
He, Yigang
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Exploring the dynamics feature of robust chaotic system is an attractive yet recent topic of interest.
In this paper, we introduce a three-dimensional fractional-order chaotic system.
The important finding by analysis is that the position of signal x3 descends at the speed of 1/c as the parameter b increases, and the signal amplitude of x1, x2 can be controlled by the parameter m in terms of the power function with the index −1/2.
What is more, the dynamics remains constant with the variation of parameters b and m.
Consequently, this system can provide rich encoding keys for chaotic communication.
By considering the properties of amplitude and position modulation, the partial projective synchronization and partial phase synchronization are realized with linear control scheme.
The distribution map of optimal synchronization region in the control-parameter space is charted by defining the power consumption of controller.
Numerical simulations are executed to confirm the theoretical analysis.
American Psychological Association (APA)
Yang, Xuan-Bing& He, Yigang& Li, Chun-Lai. 2018. Dynamics Feature and Synchronization of a Robust Fractional-Order Chaotic System. Complexity،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1136385
Modern Language Association (MLA)
Yang, Xuan-Bing…[et al.]. Dynamics Feature and Synchronization of a Robust Fractional-Order Chaotic System. Complexity No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1136385
American Medical Association (AMA)
Yang, Xuan-Bing& He, Yigang& Li, Chun-Lai. Dynamics Feature and Synchronization of a Robust Fractional-Order Chaotic System. Complexity. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1136385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136385