Unique resonant normal forms for area-preserving maps at an elliptic fixed point

DOI10.1088/0951-7715/22/4/006zbMath1185.37142arXiv0809.1614OpenAlexW3099124302MaRDI QIDQ3623243

Vassili Gelfreich, Natalia G. Gelfreikh

Publication date: 16 April 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1614

zbMATH Keywords

normal formsarea-preservingresonant

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

High-order control for symplectic maps ⋮ Unique normal forms for area preserving maps near a fixed point with neutral multipliers ⋮ Normal forms for three-parameter families of area-preserving maps near an elliptic fixed point

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