Hidden toric symmetry and structural stability of singularities in integrable systems

DOI10.1007/s40879-021-00501-9OpenAlexW3046694884MaRDI QIDQ2095619

E. A. Kudryavtseva

Publication date: 17 November 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01067

zbMATH Keywords

structural stabilityintegrable systemLagrangian fibrationsHamiltonian torus actiondegenerate singularity of integrable system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lagrangian submanifolds; Maslov index (53D12) Generic properties, structural stability of dynamical systems (37C20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items

Structurally stable nondegenerate singularities of integrable systems ⋮ Classification of singularities of smooth functions with a finite cyclic symmetry group ⋮ Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat ⋮ Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori

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