Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper investigates the chaotic motion in forced Duffing oscillator due to linear and nonlinear damping by using Melnikov technique.
In particular, the critical value of the forcing amplitude of the nonlinear system is calculated by Melnikov technique.
Further, the top Lyapunov exponent of the nonlinear system is evaluated by Wolf’s algorithm to determine whether the chaotic phenomenon of the nonlinear system actually occurs.
It is concluded that the chaotic motion of the nonlinear system occurs when the forcing amplitude exceeds the critical value, and the linear and nonlinear damping can generate pronounced effects on the chaotic behavior of the forced Duffing oscillator.
American Psychological Association (APA)
Chang, Tai-Ping. 2017. Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190263
Modern Language Association (MLA)
Chang, Tai-Ping. Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1190263
American Medical Association (AMA)
Chang, Tai-Ping. Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190263
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190263