Dynamical order in systems of coupled noisy oscillators

DOI10.1007/s10884-007-9095-9zbMath1132.37024OpenAlexW1994524139MaRDI QIDQ2467203

Wenxian Shen, Shui-Nee Chow, Hao-Min Zhou

Publication date: 21 January 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-007-9095-9

zbMATH Keywords

coupled oscillatorsinvariant measurerotation numberwhite noiseinvariant manifoldrandom attractorfrequency lockinghorizontal curveone dimensional dynamicsinvariant foliationdynamical order

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (3)

One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ One-dimensional approximation to stochastic lattice system with strong coupling ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

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