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Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The Neimark-Sacker bifurcation of a forced vibration system is considered in this paper.
The series solution to the motion equation is obtained, and the Poincaré map is established.
The fixed point of the Poincaré map is guaranteed by the implicit function theorem.
The map is transformed into its normal form at the fifth-order resonance case.
For some parameter values, there exists the torus T1.
Furthermore, the phenomenon of phase locking on the torus T1 is investigated and the parameter condition under which there exists subharmonic motion on the torus T1 is determined.
American Psychological Association (APA)
Guo, Yong. 2020. Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127402
Modern Language Association (MLA)
Guo, Yong. Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance. Advances in Mathematical Physics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1127402
American Medical Association (AMA)
Guo, Yong. Torus and Subharmonic Motions of a Forced Vibration System in 1 : 5 Weak Resonance. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127402
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127402