Dual pairs and regularization of Kummer shapes in resonances

DOI10.3934/jgm.2019012zbMath1439.37063arXiv1810.07721OpenAlexW2897663999WikidataQ127901978 ScholiaQ127901978MaRDI QIDQ2303559

Tomoki Ohsawa

Publication date: 4 March 2020

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07721

zbMATH Keywords

resonancedual pairsLie-Poisson dynamics

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Nonlinear resonances for nonlinear problems in mechanics (70K30) Symplectic and canonical mappings (37J11) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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