Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor
Joint Authors
Wu, Chaojun
Yang, Ningning
Jia, Rong
Cheng, Shucan
Chong-xin, Liu
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a fractional-order chaotic circuit based on a novel fractional-order generalized memristor is proposed.
It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop.
Then the mathematical model of the fractional-order memristor chaotic circuit is obtained.
The impact of the order and system parameters on the dynamic behaviors of the chaotic circuit is studied by phase trajectory, Poincaré Section, and bifurcation diagram method.
The order, as an important parameter, can increase the degree of freedom of the system.
With the change of the order and parameters, the circuit will exhibit abundant dynamic behaviors such as coexisting upper and lower limit cycle, single scroll chaotic attractors, and double scroll chaotic attractors under different initial conditions.
And the system exhibits antimonotonic behavior of antiperiodic bifurcation with the change of system parameters.
The equivalent circuit simulations are designed to verify the results of the theoretical analysis and numerical simulation.
American Psychological Association (APA)
Yang, Ningning& Cheng, Shucan& Wu, Chaojun& Jia, Rong& Chong-xin, Liu. 2019. Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor. Complexity،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132331
Modern Language Association (MLA)
Yang, Ningning…[et al.]. Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor. Complexity No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1132331
American Medical Association (AMA)
Yang, Ningning& Cheng, Shucan& Wu, Chaojun& Jia, Rong& Chong-xin, Liu. Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor. Complexity. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132331
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132331