Estimation of the number of ultrasubharmonics for a two-dimensional almost autonomous Hamiltonian system periodic in time

DOI10.1007/s11253-012-0663-8zbMath1306.37056OpenAlexW2010222403MaRDI QIDQ1933281

I. O. Parasyuk, Yu. E. Vakal

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0663-8

zbMATH Keywords

action-angle variablessymplectic diffeomorphismsunperturbed system

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Configuration theorems in linear incidence geometry (51A20) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

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• Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Fluctuations in the mean of Euler's phi function
• Discrepancy of Farey sequences
• On the limit values of Mel'nikov functions on periodic orbits
• Buffer phenomenon in systems close to two-dimensional Hamiltonian ones

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