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• W3109992753 abstract "Saddle or hyperbolic singularities of Liouville foliations of integrable Hamiltonian systems are discussed. We observe new and classical results on their classification, representation and invariants with respect to topological equivalence depending on number of degrees of freedom. Then criterion of their component-wise stability by A.A. Oshemkov and its application are reminded. At last, we discuss saddle singularities of famous dynamical and physical systems, particularly problem of realization (modeling) of Liouville foliations and their singularities (A.T. Fomenko billiard conjecture) by integrable billiards. New result is obtained: loop molecules of all saddle-saddle singularities with one equilibrium are modeled by billiard books, i.e. integrable billiards on CW-complexes introduced by V.V. Vedyushkina." @default.
• W3109992753 created "2020-12-07" @default.
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• W3109992753 date "2020-11-25" @default.
• W3109992753 modified "2023-10-12" @default.
• W3109992753 title "Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms" @default.
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• W3109992753 doi "https://doi.org/10.1007/978-3-030-50302-4_1" @default.
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