scientific article; zbMATH DE number 7319008
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Publication:4965843
zbMath1462.37064MaRDI QIDQ4965843
E. A. Kudryavtseva, A. A. Oshemkov
Publication date: 10 March 2021
Full work available at URL: http://mathnet.ru/eng/cheb907
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Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Related Items (6)
Structurally stable nondegenerate singularities of integrable systems ⋮ Liouville foliations of topological billiards with slipping ⋮ Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ Realizing integrable Hamiltonian systems by means of billiard books ⋮ Classification of singularities of smooth functions with a finite cyclic symmetry group ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems
Cites Work
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- Topological invariants of Liouville integrable Hamiltonian systems
- The Hamiltonian Hopf bifurcation
- Integrable systems with linear periodic integral for the Lie algebra e(3)
- Topological classification of integrable Hamiltonian systems in a potential field on surfaces of revolution
- Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity
- Classification of Singularities and Bifurcations of Critical Points of Even Functions
- Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
- The topology associated with cusp singular points
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