The saddle case of a nonsmooth Rayleigh–Duffing oscillator

The saddle case of a nonsmooth Rayleigh–Duffing oscillator

We consider a single degree freedom oscillator in order to accurately represent some modeling with ship roll damping. The proposed oscillator is a nonsmooth Rayleigh–Duffing equation ẍ+aẋ+bẋ|ẋ|+cx+dx3=0. The main goal of this paper is to study the global dynamics of the nonsmooth Rayleigh–Duffin...

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Veröffentlicht in:International journal of non-linear mechanics 2021-03, Vol.129, p.103657, Article 103657
Hauptverfasser: Wang, Zhaoxia, Chen, Hebai
Format: Artikel
Sprache:eng
Schlagworte:
2-saddle loop
Bifurcation
Damping
Duffing equation
Duffing oscillators
Global phase portrait
Limit cycle
Nonsmooth Rayleigh–Duffing oscillator
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Zusammenfassung:We consider a single degree freedom oscillator in order to accurately represent some modeling with ship roll damping. The proposed oscillator is a nonsmooth Rayleigh–Duffing equation ẍ+aẋ+bẋ|ẋ|+cx+dx3=0. The main goal of this paper is to study the global dynamics of the nonsmooth Rayleigh–Duffing oscillator in the case d
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2020.103657