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Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition
Joint Authors
Chen, Heng
Lei, Tengfei
Lu, Su
Dai, WenPeng
Qiu, Lijun
Zhong, Lin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium.
The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest Lyapunov exponent diagram.
At the same time, through the Lyapunov exponent spectrum and bifurcation graph of the system under the change of the initial value, the influence of fractional order q on the system state can be observed.
That is, integer-order systems do not have the phenomenon of attractors coexistence, while fractional-order systems have it.
American Psychological Association (APA)
Chen, Heng& Lei, Tengfei& Lu, Su& Dai, WenPeng& Qiu, Lijun& Zhong, Lin. 2020. Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142536
Modern Language Association (MLA)
Chen, Heng…[et al.]. Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142536
American Medical Association (AMA)
Chen, Heng& Lei, Tengfei& Lu, Su& Dai, WenPeng& Qiu, Lijun& Zhong, Lin. Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142536