Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps

DOI10.1088/0951-7715/27/7/1645zbMath1332.37043arXiv1312.6154OpenAlexW3098852774MaRDI QIDQ2874774

Vassili Gelfreich, Natalia G. Gelfreikh

Publication date: 8 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6154

zbMATH Keywords

bifurcationnormal formsarea-preserving mapsresonant fixed point

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Normal forms for nonlinear problems in mechanics (70K45)

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On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps ⋮ Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps ⋮ Normal forms for three-parameter families of area-preserving maps near an elliptic fixed point

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