Normal forms for three-parameter families of area-preserving maps near an elliptic fixed point

DOI10.1134/S1560354718030048zbMath1400.37070arXiv1711.02921MaRDI QIDQ1799410

Natalia G. Gelfreikh

Publication date: 18 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02921

zbMATH Keywords

bifurcationnormal formarea-preserving mapresonant fixed point

Mathematics Subject Classification ID

Cites Work

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• Resonant normal forms, interpolating Hamiltonians and stability analysis of area preserving maps
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps
• Unique resonant normal forms for area-preserving maps at an elliptic fixed point
• Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps
• The normal form of a Hamiltonian system
• Generic Bifurcation of Periodic Points
• Elements of applied bifurcation theory

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