Chaos Analysis and Control of Relative Rotation System with Mathieu-Duffing Oscillator
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Chaos analysis and control of relative rotation nonlinear dynamic system with Mathieu-Duffing oscillator are investigated.
By using Lagrange equation, the dynamics equation of relative rotation system has been established.
Melnikov’s method is applied to predict the chaotic behavior of this system.
Moreover, the chaotic dynamical behavior can be controlled by adding the Gaussian white noise to the proposed system for the sake of changing chaos state into stable state.
Through numerical calculation, the Poincaré map analysis and phase portraits are carried out to confirm main results.
American Psychological Association (APA)
Zhang, Yu& Li, Long-suo. 2015. Chaos Analysis and Control of Relative Rotation System with Mathieu-Duffing Oscillator. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1073565
Modern Language Association (MLA)
Zhang, Yu& Li, Long-suo. Chaos Analysis and Control of Relative Rotation System with Mathieu-Duffing Oscillator. Mathematical Problems in Engineering No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1073565
American Medical Association (AMA)
Zhang, Yu& Li, Long-suo. Chaos Analysis and Control of Relative Rotation System with Mathieu-Duffing Oscillator. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1073565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073565