Limit theorem for a dynamical system in the presence of resonances and homoclinic orbits

DOI10.1016/0022-0396(90)90060-3zbMath0682.34036OpenAlexW2054948548MaRDI QIDQ1824089

Gershon Wolansky

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90060-3

zbMATH Keywords

oscillatorparabolic partial differential equationsboundary layer analysisprobability of trapping

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

Unnamed Item ⋮ Phase change and order 2 averaging for one-frequency systems with separatrix crossing* ⋮ Stochastic averaging with a flattened Hamiltonian: A Markov process on a stratified space (a whiskered sphere) ⋮ Probability phenomena due to separatrix crossing ⋮ Averaging method for systems with separatrix crossing ⋮ On mechanisms of destruction of adiabatic invariance in slow–fast Hamiltonian systems ⋮ Planar radial weakly dissipative diffeomorphisms

Cites Work

• Regular probability measures on function space
• Stable and Random Motions in Dynamical Systems
• Stochastic Perturbations to Conservative Dynamical Systems on the Plane. I: Convergence of Invariant Distributions
• Capture into resonance: An extension of the use of adiabatic invariants
• Diagrammatic theory of transition of pendulum like systems
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