Topology of Liouville foliations for integrable billiards in non-convex domains
type: Item
instance of: scholarly article
title: Topology of Liouville foliations for integrable billiards in non-convex domains
zbMATH Open document ID: 1397.37060
DOI: 10.3103/S002713221803004X
author: V. A. Moskvin
published in: Moscow University Mathematics Bulletin
publication date: 2018-10-10T00:00:00Z
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 6951203
zbMATH Keywords: plane billiard
zbMATH Keywords: confocal quadrics
zbMATH Keywords: Liouville equivalence invariants
zbMATH Keywords: Fomenko molecule
MaRDI profile type: Publication
cites work: Q5708384
cites work: A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
cites work: Bifurcations of Liouville tori in elliptical billiards
cites work: Algebra of operators on the ring of polytopes and quasi-symmetric functions
cites work: Q5480781
cites work: Maximally symmetric cell decompositions of surfaces and their coverings
cites work: Symmetries groups of nice Morse functions on surfaces
cites work: Each finite group is the symmetry group of some map (an ``atom''-bifurcation)
cites work: Integrable billiards model important integrable cases of rigid body dynamics
cites work: Billiard Systems as the Models for the Rigid Body Dynamics
cites work: Integrable topological billiards and equivalent dynamical systems
cites work: An analogue of the Liouville theorem for integrable Hamiltonian systems with incomplete flows
full work available at URL: s002713221803004x
OpenAlex ID: W2855330644
description: scientific article; zbMATH DE number 6951203