Phase change and order 2 averaging for one-frequency systems with separatrix crossing*

DOI10.1088/1361-6544/ac7a85OpenAlexW4285727023MaRDI QIDQ5097571

Alexey Okunev, Anatoly I. Neishtadt

Publication date: 25 August 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05828

zbMATH Keywords

perturbation theoryaveraging methodseparatrices

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Averaging method for ordinary differential equations (34C29) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (1)

On phase at a resonance in slow-fast Hamiltonian systems

Cites Work

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• Averaging method for systems with separatrix crossing
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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