Exit cycling for the Van der Pol oscillator and quasipotential calculations

DOI10.1007/BF02218845zbMath0866.60055MaRDI QIDQ5961456

Martin V. Day

Publication date: 8 July 1997

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

zbMATH Keywords

limit cycleexit problemquasipotential

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Cutoff thermalization for Ornstein-Uhlenbeck systems with small Lévy noise in the Wasserstein distance ⋮ An Eyring-Kramers law for slowly oscillating bistable diffusions ⋮ Stochastic sensitivity of 3D-cycles ⋮ A dynamical systems approach for most probable escape paths over periodic boundaries ⋮ The Exit Problem from a Neighborhood of the Global Attractor for Dynamical Systems Perturbed by Heavy-Tailed Lévy Processes ⋮ Quasi-potential calculation and minimum action method for limit cycle ⋮ The first exit problem of reaction-diffusion equations for small multiplicative L\'evy noise

Cites Work

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• Some regularity results on the Ventcel-Freidlin quasi-potential function
• On a state space approach to nonlinear \(H_ \infty\) control
• Regularity of boundary quasi-potentials for planar systems
• Cycling and skewing of exit measures for planar systems

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