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Global Dynamics of the Chaotic Disk Dynamo System Driven by Noise
Joint Authors
Li, Lijie
Liu, Yongjian
Wei, Zhouchao
Feng, Chunsheng
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The disk dynamo system, which is capable of chaotic behaviours, is obtained experimentally from two disk dynamos connected together.
It models the geomagnetic field and is used to explain the reversals in its polarity.
Actually, the parameters of the chaotic systems exhibit random fluctuation to a greater or lesser extent, which can carefully describe the disturbance made by environmental noise.
The global dynamics of the chaotic disk dynamo system with random fluctuating parameters are concerned, and some new results are presented.
Based on the generalized Lyapunov function, the globally attractive and positive invariant set is given, including a two-dimensional parabolic ultimate boundary and a four-dimensional ellipsoidal ultimate boundary.
Furthermore, a set of sufficient conditions is derived for all solutions of the stochastic disk dynamo system being global convergent to the equilibrium point.
Finally, numerical simulations are presented for verification.
American Psychological Association (APA)
Feng, Chunsheng& Li, Lijie& Liu, Yongjian& Wei, Zhouchao. 2020. Global Dynamics of the Chaotic Disk Dynamo System Driven by Noise. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144282
Modern Language Association (MLA)
Feng, Chunsheng…[et al.]. Global Dynamics of the Chaotic Disk Dynamo System Driven by Noise. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1144282
American Medical Association (AMA)
Feng, Chunsheng& Li, Lijie& Liu, Yongjian& Wei, Zhouchao. Global Dynamics of the Chaotic Disk Dynamo System Driven by Noise. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144282