Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Joint Authors
Xinlei, An
Yu, Jianning
Yingxiang, Chang
Yandong, Chu
Du, Wenju
Jiangang, Zhang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-06
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system.
More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf bifurcation.
Research result shows that the control method can work very well in Hopf bifurcation control.
Besides, we controlled the system to any fixed point and any periodic orbit to eliminate the chaotic vibration by means of sliding mode method.
And the numerical simulations were presented to confirm the effectiveness of the controller.
American Psychological Association (APA)
Du, Wenju& Yandong, Chu& Jiangang, Zhang& Yingxiang, Chang& Yu, Jianning& Xinlei, An. 2014. Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-493762
Modern Language Association (MLA)
Du, Wenju…[et al.]. Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System. Journal of Applied Mathematics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-493762
American Medical Association (AMA)
Du, Wenju& Yandong, Chu& Jiangang, Zhang& Yingxiang, Chang& Yu, Jianning& Xinlei, An. Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-493762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493762
