The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order
Joint Authors
Al Themairi, Asma
Farghaly, Ahmed
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we presented different behaviors such as chaotic and hyperchaotic of the generalized van der Pol oscillator with distributed order.
We introduced the parameter intervals of these behaviors by computing the Lyapunov exponents of the oscillator, which is a good test for classifying the dynamical systems’ solutions.
The active control approach with the Laplace transform technique was used to realize the antisynchronization and control of the proposed oscillator.
Finally, numerical investigations have been carried out on the dynamics of the proposed oscillator to verify the reliability of our analytical results.
American Psychological Association (APA)
Al Themairi, Asma& Farghaly, Ahmed. 2020. The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1196110
Modern Language Association (MLA)
Al Themairi, Asma& Farghaly, Ahmed. The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1196110
American Medical Association (AMA)
Al Themairi, Asma& Farghaly, Ahmed. The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1196110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196110