Alexey Glutsyuk
Présentation
1) Publications (parues ou acceptees) dans des revues a comite de lecture. V.M.Buchstaber, A.A.Glutsyuk. On determinants of modi!ed Bessel functions and entire solutions of double confluent Heun equations. -- Nonlinearity, 29 (2016), 3857--3870. A.Glutsyuk. On 4-reflective complex analytic planar billiards. -- A paraitre dans le Journal of Geometric Analysis. Publie First Online. DOI: 10.1007/s12220-016-9679-x A.Glutsyuk, L.Rybnikov. On families of differential equations on two-torus with all phase-lock areas. -- A paraitre dans Nonlinearity 30 (2017). 2) Preprints sur l'archive (pre-publications soumises pour publication). V.M.Buchstaber, A.A.Glutsyuk. On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. -- Preprint https://arxiv.org/abs/1609.00244 A.Glutsyuk, E.Shustin. On polynomially integrable planar outer billiards and curves with symmetry property. -- Preprint https://arxiv.org/abs/1607.07593
Publications
Publications
Variétés complexes, feuilletages, uniformisationSMF, 34/35, 2012, Panoramas et Synthèses, 978-2-85629-358-4 |
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On complex algebraic caustics in planar and projective billiards2025 |
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Phase-locking in dynamical systems and quantum mechanics2025 |
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Phase-locking in dynamical systems and quantum mechanics2025 |
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Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking2025 |
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On rationally integrable planar dual and projective billiards2022 |
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Restricted version of the infinitesimal Hilbert 16th problem2006 |