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Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The main purpose of this paper is to investigate the mechanism of sliding phenomenon in Filippov (nonsmooth) dynamical systems by attractor analysis and vector analysis.
A corresponding simple model based on Chua’s circuit with periodic excitation was introduced as an example.
The attractor analysis proposed in our previous work is used to discuss the complicated oscillations of the Filippov system.
However, it failed to perfectly explain the sliding phenomena and establish an analytical method of constant voltage control.
Therefore, the geometric structure and analytic conditions of sliding bifurcations in the general n-dimensional piecewise smooth system are discussed in detail by vector structure analysis.
The prospects of practical application of this method are also discussed in the end.
American Psychological Association (APA)
Qu, Rui& Li, Shaolong. 2019. Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems. Shock and Vibration،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211584
Modern Language Association (MLA)
Qu, Rui& Li, Shaolong. Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems. Shock and Vibration No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1211584
American Medical Association (AMA)
Qu, Rui& Li, Shaolong. Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211584
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211584