Modeling the degenerate singularities of integrable billiard systems by billiard books
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Publication:6155006
DOI10.3103/s0027132223050030OpenAlexW4389934595MaRDI QIDQ6155006
Publication date: 16 February 2024
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0027132223050030
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) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
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- Description of singularities for system ``billiard in an ellipse
- Bifurcations of Liouville tori in elliptical billiards
- Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards
- Local modeling of Liouville foliations by billiards: implementation of edge invariants
- Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
- Realization of the numerical invariant of the Seifert fibration of integrable systems by billiards
- Topological modeling of integrable systems by billiards: realization of numerical invariants
- Description of degenerate two-dimensional singularities with single critical point
- Billiards and integrability in geometry and physics. New scope and new potential
- A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
- Topological type of isoenergy surfaces of billiard books
- The symplectic topology of completely integrable Hamiltonian systems
- THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
- The method of loop molecules and the topology of the Kovalevskaya top
- Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
- Realizing integrable Hamiltonian systems by means of billiard books
- Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds
- Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems
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