On the stationary distribution of self-sustained oscillators around bifurcation points.
type: Item
instance of: scholarly article
title: On the stationary distribution of self-sustained oscillators around bifurcation points.
zbMATH Open document ID: 1084.37519
DOI: 10.1007/BF01019146
published in: Journal of Statistical Physics
publication date: 2000-02-02T00:00:00Z
Mathematics Subject Classification ID: 37H20
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 82B31
Mathematics Subject Classification ID: 92E99
zbMATH DE Number: 1397638
zbMATH Keywords: Stationary distribution
zbMATH Keywords: weak noise expansion
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: van der Pol oscillator
author: T. Tél
MaRDI profile type: Publication
cites work: Q5790553
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: On the theory of optimal control. Sufficient coordinates
cites work: Q3881612
cites work: Q4748912
cites work: Handbook of stochastic methods for physics, chemistry and the natural sciences
cites work: The Fokker-Planck equation. Methods of solution and applications
cites work: A Ray Method for the Asymptotic Solution of the Diffusion Equation
cites work: ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS
cites work: ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
cites work: Persistence of Dynamical Systems under Random Perturbations
cites work: Diffusion Across Characteristic Boundaries
cites work: Large fluctuations for a nonlinear heat equation with noise
cites work: On the weak-noise limit of Fokker-Planck models
cites work: Stochastic analysis of symmetry-breaking bifurcations: Master equation approach
cites work: Asymptotic properties of coupled nonlinear Langevin equations in the limit of weak noise. II: Transition to a limit cycle
cites work: Influence of Noise on Duffing‐Van der Pol Oscillators
full work available at URL: https://doi.org/10.1007/bf01019146
OpenAlex ID: W1632394513
description: scientific article; zbMATH DE number 1397638