Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations
Joint Authors
Xu, Wei
Haiwu, Rong
Xiangdong, Wang
Qizhi, Luo
Tong, Fang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The erosion of the safe basins and chaotic motions of a nonlinear vibroimpact oscillator under both harmonic and bounded random noise is studied.
Using the Melnikov method, the system’s Melnikov integral is computed and the parametric threshold for chaotic motions is obtained.
Using the Monte-Carlo and Runge-Kutta methods, the erosion of the safe basins is also discussed.
The sudden change in the character of the stochastic safe basins when the bifurcation parameter of the system passes through a critical value may be defined as an alternative stochastic bifurcation.
It is founded that random noise may destroy the integrity of the safe basins, bring forward the occurrence of the stochastic bifurcation, and make the parametric threshold for motions vary in a larger region, hence making the system become more unsafely and chaotic motions may occur more easily.
American Psychological Association (APA)
Haiwu, Rong& Xiangdong, Wang& Qizhi, Luo& Xu, Wei& Tong, Fang. 2014. Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039810
Modern Language Association (MLA)
Haiwu, Rong…[et al.]. Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1039810
American Medical Association (AMA)
Haiwu, Rong& Xiangdong, Wang& Qizhi, Luo& Xu, Wei& Tong, Fang. Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1039810
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039810