On normal forms in a neighborhood of two-dimensional resonance tori for a multidimensional anharmonic oscillator.

DOI10.1023/B:MATN.0000049664.77226.52zbMath1083.34031OpenAlexW1963558750MaRDI QIDQ556587

M. A. Poteryakhin, S. Yu. Dobrokhotov

Publication date: 21 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:matn.0000049664.77226.52

zbMATH Keywords

normal formHamiltonian systemanharmonic oscillatorinvariant manifoldisotropic torusresonance torus

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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