STOCHASTIC AVERAGING NEAR LONG HETEROCLINIC ORBITS

DOI10.1142/S0219493707001974zbMath1119.35003MaRDI QIDQ3595337

Richard B. Sowers

Publication date: 10 August 2007

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

perturbed test functionsglueing conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (2)

Stochastic averaging for a Hamiltonian system with skew random perturbations ⋮ Averaging of stochastic flows: twist maps and escape from resonance

Cites Work

• The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point
• On random perturbations of Hamiltonian systems with many degrees of freedom.
• A boundary layer theory for diffusively perturbed transport around a heteroclinic cycle
• Random Perturbations of Heteroclinic Attractors
• Probability phenomena due to separatrix crossing
• Stochastic Averaging Near a Homoclinic Orbit with Multiplicative Noise

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