Generation and Evolution of Chaos in Double-Well Duffing Oscillator under Parametrical Excitation
Joint Authors
Tong, Fang
Zhang, Ying
Yue, Xiaole
Du, Lin
Wang, Liang
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The generation and evolution of chaotic motion in double-well Duffing oscillator under harmonic parametrical excitation are investigated.
Firstly, the complex dynamical behaviors are studied by applying multibifurcation diagram and Poincaré sections.
Secondly, by means of Melnikov’s approach, the threshold value of parameter μ for generation of chaotic behavior in Smale horseshoe sense is calculated.
By the numerical simulation, it is obvious that as μ exceeds this threshold value, the behavior of Duffing oscillator is still steady-state periodic but the transient motion is chaotic; until the top Lyapunov exponent turns to positive, the motion of system turns to permanent chaos.
Therefore, in order to gain an insight into the evolution of chaotic behavior after μ passing the threshold value, the transient motion, basin of attraction, and basin boundary are also investigated.
American Psychological Association (APA)
Zhang, Ying& Yue, Xiaole& Du, Lin& Wang, Liang& Tong, Fang. 2016. Generation and Evolution of Chaos in Double-Well Duffing Oscillator under Parametrical Excitation. Shock and Vibration،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1119427
Modern Language Association (MLA)
Zhang, Ying…[et al.]. Generation and Evolution of Chaos in Double-Well Duffing Oscillator under Parametrical Excitation. Shock and Vibration No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1119427
American Medical Association (AMA)
Zhang, Ying& Yue, Xiaole& Du, Lin& Wang, Liang& Tong, Fang. Generation and Evolution of Chaos in Double-Well Duffing Oscillator under Parametrical Excitation. Shock and Vibration. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1119427
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119427