Billiard ordered games and books
DOI10.1134/S1560354722020022zbMath1498.37092arXiv2111.10913OpenAlexW4225685442MaRDI QIDQ2125713
Sean Gasiorek, Vladimir Dragović, Milena Radnović
Publication date: 14 April 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.10913
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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
- Pseudo-integrable billiards and arithmetic dynamics
- Foliations of isonergy surfaces and singularities of curves
- Bifurcations of Liouville tori in elliptical billiards
- On the model of non-holonomic billiard
- The Liouville foliation of the billiard book modelling the Goryachev-Chaplygin case
- Liouville foliations of topological billiards with slipping
- Geometry of integrable billiards and pencils of quadrics
- Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space
- Local modeling of Liouville foliations by billiards: implementation of edge invariants
- Isoenergetic manifolds of integrable billiard books
- Realization of the numerical invariant of the Seifert fibration of integrable systems by billiards
- Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field
- Periods of pseudo-integrable billiards
- Liouville integrable generalized billiard flows and Poncelet type theorems
- Minkowski plane, confocal conics, and billiards
- Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances
- Classification of billiard motions in domains bounded by confocal parabolas
- Poncelet Porisms and Beyond
- A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
- A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
- Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity
- Topology and stability of integrable systems
- THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
- Cayley-type conditions for billiards withinkquadrics in
- Integrable topological billiards and equivalent dynamical systems
- Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
- On the structure of Hamiltonian impact systems
- Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results
- Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards
- Topological billiards, conservation laws and classification of trajectories
- Pseudo-integrable billiards and double reflection nets
- Topology of the elliptical billiard with the Hooke's potential
- The Fomenko-Zieschang invariants of nonconvex topological billiards
- Algebra of operators on the ring of polytopes and quasi-symmetric functions
This page was built for publication: Billiard ordered games and books