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Multistability and Formation of Spiral Waves in a Fractional-Order Memristor-Based Hyperchaotic Lü System with No Equilibrium Points
Joint Authors
He, Shaobo
Yan, Bo
Wang, Shaojie
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Multistablity analysis and formation of spiral wave in the fractional-order nonlinear systems is a recent hot topic.
In this paper, dynamics, coexisting attractors, complexity, and synchronization of the fractional-order memristor-based hyperchaotic Lü system are investigated numerically by means of bifurcation diagram, Lyapunov exponents (LEs), chaos diagram, and sample entropy (SampEn) algorithm.
The results show that the system has rich dynamics and high complexity.
Meanwhile, coexisting attractors in the system are observed and hidden dynamics are illustrated by changing the initial conditions.
Finally, the network based on the system is built, and the emergence of spiral waves is investigated and chimera states are observed.
American Psychological Association (APA)
Yan, Bo& He, Shaobo& Wang, Shaojie. 2020. Multistability and Formation of Spiral Waves in a Fractional-Order Memristor-Based Hyperchaotic Lü System with No Equilibrium Points. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193848
Modern Language Association (MLA)
Yan, Bo…[et al.]. Multistability and Formation of Spiral Waves in a Fractional-Order Memristor-Based Hyperchaotic Lü System with No Equilibrium Points. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1193848
American Medical Association (AMA)
Yan, Bo& He, Shaobo& Wang, Shaojie. Multistability and Formation of Spiral Waves in a Fractional-Order Memristor-Based Hyperchaotic Lü System with No Equilibrium Points. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193848