Spectral analysis of stochastic phase lockings and stochastic bifurcations in the sinusoidally forced van der Pol oscillator with additive noise

DOI10.1023/A:1023271109747zbMath0923.60067OpenAlexW1614234154MaRDI QIDQ1284842

Junko Inoue, Sadatoshi Kumagai, Shinji Doi

Publication date: 20 June 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023271109747

zbMATH Keywords

van der Pol equation phase locking additive noise relaxation oscillation stochastic bifurcation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05)

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