Decomposition of nondegenerate singularities of integrable Hamiltonian systems

DOI10.1007/BF00749620zbMath0842.58032OpenAlexW1992322065MaRDI QIDQ1899853

Nguyen Tien Zung

Publication date: 22 October 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00749620

zbMATH Keywords

integrable Hamiltonian systemstopological classificationstable nondegenerate singularities

Mathematics Subject Classification ID

Related Items (12)

Structurally stable nondegenerate singularities of integrable systems ⋮ Singularities of integrable geodesic flows on multidimensional torus and sphere ⋮ Algebra and Geometry Through Hamiltonian Systems ⋮ Classification of singularities of the Liouville foliation of an integrable elliptical Billiard with a potential of fourth degree ⋮ Topological atlas of the Kovalevskaya top in a double field ⋮ Each finite group is the symmetry group of some map (an ``atom-bifurcation) ⋮ Phase topology of one system with separated variables and singularities of the symplectic structure ⋮ Singularities of integrable and near-integrable Hamiltonian systems ⋮ Integrable perturbations of saddle singularities of rank 0 of integrable Hamiltonian systems ⋮ Geometry of nondegenerate \({\mathbb R}^n\)-actions on \(n\)-manifolds ⋮ Unnamed Item ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems

Cites Work

• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Sur Certains Systemes Dynamiques Separables
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
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