Topological billiards, conservation laws and classification of trajectories (Q5241861)

scientific article; zbMATH DE number 7125705

Language	Label	Description	Also known as
English	Topological billiards, conservation laws and classification of trajectories	scientific article; zbMATH DE number 7125705

Statements

instance of

scholarly article

0 references

title

Topological billiards, conservation laws and classification of trajectories (English)

0 references

0 references

0 references

Functional Analysis and Geometry

0 references

publication date

4 November 2019

0 references

zbMATH Keywords

classification

0 references

topological billiards

0 references

Liouville tori

0 references

integrable Hamiltonian system

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1090/conm/733/14738

0 references

cites work

Q4821521

0 references

CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS

0 references

Orbital classification of geodesic flows on two-dimensional ellipsoids. The Jacobi problem is orbitally equivalent to the integrable Euler case in rigid body dynamics

0 references

Q3127197

0 references

Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics

0 references

Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

0 references

THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY

0 references

Topological invariants of Liouville integrable Hamiltonian systems

0 references

A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

0 references

ON TYPICAL TOPOLOGICAL PROPERTIES OF INTEGRABLE HAMILTONIAN SYSTEMS

0 references

Q4891196

0 references

Q4011331

0 references

Computation of the fine Fomenko-Zieschang invariant for the main integrable cases of rigid body motion

0 references

Q5708384

0 references

Q5557227

0 references

Q4000418

0 references

Bifurcations of Liouville tori in elliptical billiards

0 references

Poncelet Porisms and Beyond

0 references

Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space

0 references

Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances

0 references

Pseudo-integrable billiards and arithmetic dynamics

0 references

Pseudo-integrable billiards and double reflection nets

0 references

Periods of pseudo-integrable billiards

0 references

Description of singularities for system ``billiard in an ellipse''

0 references

Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas

0 references

Classification of billiard motions in domains bounded by confocal parabolas

0 references

A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics

0 references

Integrable billiards model important integrable cases of rigid body dynamics

0 references

Billiard Systems as the Models for the Rigid Body Dynamics

0 references

Integrable topological billiards and equivalent dynamical systems

0 references

Topology of Liouville foliations for integrable billiards in non-convex domains

0 references

Liouville integrable generalized billiard flows and Poncelet type theorems

0 references

Maximally symmetric cell decompositions of surfaces and their coverings

0 references

Q4273957

0 references

Q3793396

0 references

Q4301563

0 references

Geodesics on an ellipsoid in Minkowski space

0 references

Billiards in Finsler and Minkowski geometries

0 references

THE TOPOLOGY OF INTEGRAL SUBMANIFOLDS OF COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS

0 references

Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds

0 references

Q4011332

0 references

Algebra and Geometry Through Hamiltonian Systems

0 references

Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential

0 references

Identifiers

zbMATH Open document ID

1426.37047

0 references

DOI

10.1090/conm/733/14738

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5241861