Heterogeneous and Homogenous Multistabilities in a Novel 4D Memristor-Based Chaotic System with Discrete Bifurcation Diagrams
Joint Authors
Huang, Li-lian
Zhang, Zefeng
Xiang, Jianhong
Yao, Wenju
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a new 4D memristor-based chaotic system is constructed by using a smooth flux-controlled memristor to replace a resistor in the realization circuit of a 3D chaotic system.
Compared with general chaotic systems, the chaotic system can generate coexisting infinitely many attractors.
The proposed chaotic system not only possesses heterogeneous multistability but also possesses homogenous multistability.
When the parameters of system are fixed, the chaotic system only generates two kinds of chaotic attractors with different positions in a very large range of initial values.
Different from other chaotic systems with continuous bifurcation diagrams, this system has discrete bifurcation diagrams when the initial values change.
In addition, this paper reveals the relationship between the symmetry of coexisting attractors and the symmetry of initial values in the system.
The dynamic behaviors of the new system are analyzed by equilibrium point and stability, bifurcation diagrams, Lyapunov exponents, and phase orbit diagrams.
Finally, the chaotic attractors are captured through circuit simulation, which verifies numerical simulation.
American Psychological Association (APA)
Huang, Li-lian& Yao, Wenju& Xiang, Jianhong& Zhang, Zefeng. 2020. Heterogeneous and Homogenous Multistabilities in a Novel 4D Memristor-Based Chaotic System with Discrete Bifurcation Diagrams. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1140965
Modern Language Association (MLA)
Huang, Li-lian…[et al.]. Heterogeneous and Homogenous Multistabilities in a Novel 4D Memristor-Based Chaotic System with Discrete Bifurcation Diagrams. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1140965
American Medical Association (AMA)
Huang, Li-lian& Yao, Wenju& Xiang, Jianhong& Zhang, Zefeng. Heterogeneous and Homogenous Multistabilities in a Novel 4D Memristor-Based Chaotic System with Discrete Bifurcation Diagrams. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1140965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140965