Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system

DOI10.1007/s11072-011-0149-xzbMath1336.37051OpenAlexW2095370616MaRDI QIDQ275460

Yu. E. Vakal, I. O. Parasyuk

Publication date: 26 April 2016

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-011-0149-x

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (1)

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

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Averaging methods for finding periodic orbits via Brouwer degree.
• On the limit values of Mel'nikov functions on periodic orbits
• Poincaré index and periodic solutions of perturbed autonomous systems
• Buffer phenomenon in systems close to two-dimensional Hamiltonian ones

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