Asymptotic properties of coupled nonlinear Langevin equations in the limit of weak noise. II: Transition to a limit cycle

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Classical equilibrium statistical mechanics (general) (82B05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (15)

Langevin approach for intrinsic fluctuations of chemical reactions with Hopf bifurcation ⋮ Stochastic dynamo model for subcritical transition ⋮ Stability and Bifurcation of a Class of Stochastic Closed Orbit Equations ⋮ Normal form analysis of stochastically forced dynamical systems ⋮ The role of Hopf bifurcation dynamics in sensory processes ⋮ On the stationary distribution of self-sustained oscillators around bifurcation points. ⋮ A thermochemical instability. II: Inhomogeneous fluctuations. ⋮ Noise-induced global asymptotic stability. ⋮ Stochastic bifurcation ⋮ Stochastic bifurcation ⋮ Sinusoidal-signal detection by active, noisy oscillators on the brink of self-oscillation ⋮ Some aspects of chaotic and stochastic dynamics for structural systems. ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation ⋮ Temporal localization of limit cycles in a noise-driven chemical oscillator ⋮ Bifurcations in fluctuating systems: The center-manifold approach

Cites Work

This page was built for publication: Asymptotic properties of coupled nonlinear Langevin equations in the limit of weak noise. II: Transition to a limit cycle