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Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor
Joint Authors
Shi, Min
Bao, Bocheng
Yu, Yajuan
Bao, Han
Chen, Mo
Chen, YangQuan
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A fractional-order locally active memristor is proposed in this paper.
When driven by a bipolar periodic signal, the generated hysteresis loop with two intersections is pinched at the origin.
The area of the hysteresis loop changes with the fractional order.
Based on the fractional-order locally active memristor, a fractional-order memristive system is constructed.
The stability analysis is carried out and the stability conditions for three equilibria are listed.
The expression of the fractional order related to Hopf bifurcation is given.
The complex dynamical behaviors of Hopf bifurcation, period-doubling bifurcation, bistability and chaos are shown numerically.
Furthermore, the bistability behaviors of the different fractional order are validated by the attraction basins in the initial value plane.
As an alternative to validating our results, the fractional-order memristive system is implemented by utilizing Simulink of MATLAB.
The research results clarify that the complex dynamical behaviors are attributed to two facts: one is the fractional order that affects the stability of the equilibria, and the other is the local activeness of the fractional-order memristor.
American Psychological Association (APA)
Yu, Yajuan& Bao, Han& Shi, Min& Bao, Bocheng& Chen, YangQuan& Chen, Mo. 2019. Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1131172
Modern Language Association (MLA)
Yu, Yajuan…[et al.]. Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1131172
American Medical Association (AMA)
Yu, Yajuan& Bao, Han& Shi, Min& Bao, Bocheng& Chen, YangQuan& Chen, Mo. Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1131172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131172