Homological equations for tensor fields and periodic averaging

DOI10.1134/S1061920811030010zbMath1262.37027arXiv1302.3635OpenAlexW3101071757MaRDI QIDQ455586

Misael Avendaño-Camacho, Yuri M. Vorobiev

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3635

zbMATH Keywords

periodic orbitsnormal formaveraging methodperturbative theoryhomological equation

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic orbits of vector fields and flows (37C27)

Related Items (9)

On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮ On integrable models close to slow-fast Hamiltonian systems ⋮ On the global structure of normal forms for slow-fast Hamiltonian systems ⋮ On solvability of homological equations in the problem of center manifold approximation ⋮ Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems ⋮ Perturbed Hamiltonian dynamics from deformation of Poisson brackets ⋮ Deformations of Poisson structures on fibered manifolds and adiabatic slow–fast systems ⋮ Kato perturbative expansion in classical mechanics and an explicit expression for the Deprit generator ⋮ A geometric proof of the periodic averaging theorem on Riemannian manifolds

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