scientific article; zbMATH DE number 1460326
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Publication:4485665
zbMath0995.37007MaRDI QIDQ4485665
Publication date: 20 June 2000
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Singularities of vector fields, topological aspects (58K45) Singularities of differentiable mappings in differential topology (57R45) Ergodic theory (37A99)
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Singularities of integrable Hamiltonian systems with the same boundary foliation. An infinite series ⋮ Height atoms whose symmetry groups act transitively on their vertex sets ⋮ Maximally symmetric height atoms ⋮ Realizing integrable Hamiltonian systems by means of billiard books ⋮ One more proof of Vassiliev’s conjecture ⋮ Modeling the degenerate singularities of integrable billiard systems by billiard books ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds ⋮ Each finite group is the symmetry group of some map (an ``atom-bifurcation) ⋮ Integrable perturbations of saddle singularities of rank 0 of integrable Hamiltonian systems ⋮ Billiards and integrable systems ⋮ Criteria for the height of an atom ⋮ Homeotopy groups for nonsingular foliations of the plane ⋮ The bracket semigroup of knots ⋮ Topology of Liouville foliations of integrable billiards on table-complexes ⋮ Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms
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