Stochastic phase lockings in a relaxation oscillator forced by a periodic input with additive noise: a first-passage-time approach
From MaRDI portal
Publication:2500000
DOI10.1007/BF02183694zbMath1102.82330MaRDI QIDQ2500000
Shinji Doi, Shunsuke Sato, Takashi Tateno, Luigi M. Ricciardi
Publication date: 23 August 2006
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Ornstein-Uhlenbeck processvan der Pol oscillatorrelaxation oscillationfirst-passage timeAdditive noisestochastic phase locking
Related Items (6)
On a spike train probability model with interacting neural units ⋮ Modeling some properties of circadian rhythms ⋮ Modeling human postural sway using an intermittent control and hemodynamic perturbations ⋮ A Lower Bound for the First Passage Time Density of the Suprathreshold Ornstein-Uhlenbeck Process ⋮ Quasiperiodicity and phase locking in stochastic circle maps: a spectral approach ⋮ Noise-induced critical breakdown of phase lockings in a forced van der Pol oscillator
Cites Work
- Unnamed Item
- Noise-induced transitions. Theory and applications in physics, chemistry, and biology
- Handbook of stochastic methods for physics, chemistry and the natural sciences
- Asymptotic methods for relaxation oscillations and applications
- Stochastic and chaotic relaxation oscillations
- A new integral equation for the evaluation of first-passage-time probability densities
- Qualitative analysis of the periodically forced relaxation oscillations
- On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k Large
This page was built for publication: Stochastic phase lockings in a relaxation oscillator forced by a periodic input with additive noise: a first-passage-time approach