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Research problems on relations between Nijenhuis geometry and integrable
systems
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2024
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Finite-dimensional reductions and finite-gap type solutions of
multicomponent integrable PDEs
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2024
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures
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2024
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Orthogonal separation of variables for spaces of constant curvature
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2024
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Applications of Nijenhuis Geometry V: Geodesic Equivalence and Finite-Dimensional Reductions of Integrable Quasilinear Systems
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2024
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-homogeneous Poisson Structures
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2023
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Nijenhuis geometry III: gl-regular Nijenhuis operators
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2023
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures
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2023
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Applications of Nijenhuis Geometry V: geodesically equivalent metrics and finite-dimensional reductions of certain integrable quasilinear systems
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2023
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Applications of Nijenhuis geometry IV: Multicomponent KdV and Camassa–Holm equations
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2022
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations
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2022
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Orthogonal separation of variables for spaces of constant curvature
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2022
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Искандер Асанович Тайманов (к шестидесятилетию со дня рождения)
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2022
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Alexey V. Bolsinov
Victor Matveevich Buchstaber
А. П. Веселов
P. G. Grinevich
Ivan Dynnikov
Valery Vasil'evich Kozlov
Yuri A. Kordyukov
D. V. Millionshchikov
Andrei Evgen'evich Mironov
Roman Novikov
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Nijenhuis geometry
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2021
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Chaos and integrability in -geometry
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2021
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Alexey V. Bolsinov
А. П. Веселов
Y. Ye
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Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type
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2021
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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JORDAN–KRONECKER INVARIANTS OF LIE ALGEBRA REPRESENTATIONS AND DEGREES OF INVARIANT POLYNOMIALS
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2021
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Alexey V. Bolsinov
Anton Izosimov
И. К. Козлов
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Applications of Nijenhuis geometry: non-degenerate singular points of Poisson–Nijenhuis structures
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2021
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Local normal forms for c-projectively equivalent metrics and proof of the Yano-Obata conjecture in arbitrary signature. Proof of the projective Lichnerowicz conjecture for Lorentzian metrics
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2021
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Alexey V. Bolsinov
Vladimir S. Matveev
Stefan Rosemann
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Local description of Bochner-flat (pseudo-)Kähler metrics
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2021
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Alexey V. Bolsinov
Stefan Rosemann
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PDF
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Хаос и интегрируемость в $\operatorname{SL}(2,\mathbb R)$-геометрии
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2021
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Alexey V. Bolsinov
А. П. Веселов
Yiru Ye
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Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures
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2021
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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+
PDF
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Applications of Nijenhuis geometry II: maximal pencils of multihamiltonian structures of hydrodynamic type
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2020
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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Nijnehuis Geometry III: gl-regular Nijenhuis operators
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2020
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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PDF
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Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems
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2020
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Alexey V. Bolsinov
В. В. Матвеев
Eva Miranda
Serge Tabachnikov
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Chaos and integrability in SL(2,R)-geometry
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2019
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Alexey V. Bolsinov
А. П. Веселов
Y. Ye
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Smooth invariants of focus-focus singularities and obstructions to product decomposition
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2019
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Alexey V. Bolsinov
Anton Izosimov
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Nijenhuis Geometry
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2019
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Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
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PDF
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Open problems, questions and challenges in finite- dimensional integrable systems
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2018
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Alexey V. Bolsinov
Vladimir S. Matveev
Eva Miranda
Serge Tabachnikov
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Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
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2018
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Alexey V. Bolsinov
Lorenzo Guglielmi
Elena Kudryavtseva
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Integrable Geodesic Flows
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2018
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Alexey V. Bolsinov
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Local description of Bochner-flat (pseudo-)K\"ahler metrics
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2017
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Alexey V. Bolsinov
Stefan Rosemann
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PDF
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Argument Shift Method and Sectional Operators: Applications to Differential Geometry
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2017
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Alexey V. Bolsinov
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Smooth invariants of focus-focus singularities and obstructions to product decomposition
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2017
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Alexey V. Bolsinov
Anton Izosimov
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PDF
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Some remarks about Mishchenko–Fomenko subalgebras
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2017
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Alexey V. Bolsinov
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Local description of Bochner-flat (pseudo-)Kähler metrics
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2017
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Alexey V. Bolsinov
Stefan Rosemann
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+
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Smooth invariants of focus-focus singularities and obstructions to product decomposition
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2017
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Alexey V. Bolsinov
Anton Izosimov
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+
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Finite-dimensional integrable systems: A collection of research problems
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2016
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Alexey V. Bolsinov
Anton Izosimov
Dragomir Tsonev
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Argument shift method and sectional operators: applications to differential geometry
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2016
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Alexey V. Bolsinov
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Argument shift method and sectional operators: applications to differential geometry
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2016
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Alexey V. Bolsinov
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Complete commutative subalgebras in polynomial poisson algebras: A proof of the Mischenko-Fomenko conjecture
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2016
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Alexey V. Bolsinov
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Geometry and Dynamics of Integrable Systems
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2016
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Alexey V. Bolsinov
Juan J. Morales-Ruiz
Nguyen Tien Zung
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Singularities of bi-Hamiltonian Systems and Stability Analysis
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2016
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Alexey V. Bolsinov
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Stability analysis, singularities and topology of integrable systems
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2016
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Alexey V. Bolsinov
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Argument shift method and sectional operators: applications to differential geometry
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2016
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Alexey V. Bolsinov
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JORDAN–KRONECKER INVARIANTS OF FINITE-DIMENSIONAL LIE ALGEBRAS
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2015
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Alexey V. Bolsinov
Ping Zhang
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Topology and Bifurcations in Nonholonomic Mechanics
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2015
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Ivan A. Bizyaev
Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Geometrisation of Chaplygin's reducing multiplier theorem
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2015
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Stability analysis, singularities and topology of integrable systems [Abstract]
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2015
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Alexey V. Bolsinov
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+
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Local normal forms for c-projectively equivalent metrics and proof of the Yano-Obata conjecture in arbitrary signature. Proof of the projective Lichnerowicz conjecture for Lorentzian metrics
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2015
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Alexey V. Bolsinov
Vladimir S. Matveev
Stefan Rosemann
|
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PDF
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Local normal forms for geodesically equivalent pseudo-Riemannian metrics
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2014
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Alexey V. Bolsinov
Vladimir S. Matveev
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Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?
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2014
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Alexey V. Bolsinov
Alexander A. Kilin
Alexey Kazakov
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+
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Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials
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2014
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Alexey V. Bolsinov
Anton Izosimov
И. К. Козлов
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Four-dimensional Kähler metrics admitting c-projective vector fields
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2014
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Alexey V. Bolsinov
Vladimir S. Matveev
Thomas Mettler
Stefan Rosemann
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+
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Geometrisation of Chaplygin's reducing multiplier theorem
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2014
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Some remarks about Mishchenko-Fomenko subalgebras
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2014
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Alexey V. Bolsinov
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PDF
Chat
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Singularities of Bi-Hamiltonian Systems
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2014
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Alexey V. Bolsinov
Anton Izosimov
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+
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Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials
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2014
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Alexey V. Bolsinov
Anton Izosimov
И. Г. Козлов
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+
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Geometrisation of Chaplygin's reducing multiplier theorem
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2014
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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+
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Some remarks about Mishchenko-Fomenko subalgebras
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2014
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Alexey V. Bolsinov
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+
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Bi-Hamiltonian systems and Jordan-Kronecker invariants of finite-dimensional Lie algebras
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2013
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Alexey V. Bolsinov
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PDF
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Geometrization of the Chaplygin reducing-multiplier theorem
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2013
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Alexey V. Bolsinov
A. V. Borisov
И. С. Мамаев
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Topological monodromy in nonholonomic systems
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2013
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Alexey V. Bolsinov
Alexander A. Kilin
A. O. Kazakov
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Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals
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2012
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Bifurcation analysis and the Conley index in mechanics
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2012
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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+
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Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko--Fomenko conjecture
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2012
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Alexey V. Bolsinov
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+
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Singularities of bihamiltonian systems
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2012
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Alexey V. Bolsinov
Anton Izosimov
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+
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Jordan-Kronecker invariants of finite-dimensional Lie algebras
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2012
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Alexey V. Bolsinov
Pumei Zhang
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+
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Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko--Fomenko conjecture
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2012
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Alexey V. Bolsinov
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Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds
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2011
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics
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2011
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Alexey V. Bolsinov
Vladimir S. Matveev
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PDF
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Алгебраические и геометрические свойства квадратичных гамильтонианов, задаваемых секционными операторами
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2011
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Alexey V. Bolsinov
Alexey V. Bolsinov
Андрей Юрьевич Коняев
Andrei Yur'evich Konyaev
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The bifurcation analysis and the Conley index in mechanics
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2011
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Alexey V. Bolsinov
A. V. Borisov
I. S. Mamaev
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+
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On one class of holonomy groups in pseudo-Riemannian geometry
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2011
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Alexey V. Bolsinov
Dragomir Tsonev
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+
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Topology and stability of integrable systems
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2010
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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amiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
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2010
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Топология и устойчивость интегрируемых систем
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2010
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Alexey V. Bolsinov
Alexey V. Bolsinov
Alexey V. Bolsinov
Alexey V. Bolsinov
А. В. Борисов
Alexey Vladimirovich Borisov
И. С. Мамаев
И. С. Мамаев
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+
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A formal Frobenius theorem and argument shift
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2009
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Alexey V. Bolsinov
Konstantin M. Zuev
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PDF
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Bi-Hamiltonian structures and singularities of integrable systems
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2009
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Alexey V. Bolsinov
A. A. Oshemkov
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PDF
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A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics
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2009
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Alexey V. Bolsinov
V. Kiosak
Vladimir S. Matveev
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Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta
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2009
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Alexey V. Bolsinov
Vladimir S. Matveev
Giuseppe Pucacco
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Splitting and gluing constructions for geodesically equivalent pseudo-Riemannian metrics
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2009
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Alexey V. Bolsinov
Vladimir S. Matveev
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PDF
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Magnetic flows on homogeneous spaces
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2008
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Alexey V. Bolsinov
Božidar Jovanović
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+
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Fubini Theorem for pseudo-Riemannian metrics
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2008
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Alexey V. Bolsinov
V. Kiosak
Vladimir S. Matveev
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+
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Geodesics on the ellipsoid and monodromy
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2007
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Chris M. Davison
Holger R. Dullin
Alexey V. Bolsinov
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Topological Methods in the Theory of Integrable Systems
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2006
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Alexey V. Bolsinov
Анатолий Тимофеевич Фоменко
A. A. Oshemkov
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Magnetic geodesic flows on coadjoint orbits
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2006
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Alexey V. Bolsinov
Božidar Jovanović
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PDF
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Spectra of Sol-Manifolds: Arithmetic and Quantum Monodromy
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2006
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Alexey V. Bolsinov
Holger R. Dullin
А. П. Веселов
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+
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Singularities of integrable Hamiltonian systems
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2006
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Alexey V. Bolsinov
A. A. Oshemkov
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+
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Magnetic Flows on Homogeneous Spaces
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2006
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Alexey V. Bolsinov
Božidar Jovanović
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+
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Lie algebras in vortex dynamics and celestial mechanics - IV
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2005
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Alexey V. Bolsinov
А. В. Борисов
И. С. Мамаев
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Integrable Geodesic Flows on Riemannian Manifolds
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2004
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Alexey V. Bolsinov
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PDF
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INTEGRABLE GEODESIC FLOWS ON RIEMANNIAN MANIFOLDS: CONSTRUCTION AND OBSTRUCTIONS
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2004
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Alexey V. Bolsinov
Božidar Jovanović
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+
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Complete involutive algebras of functions on cotangent bundles of homogeneous spaces
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2003
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Alexey V. Bolsinov
Božidar Jovanović
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+
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Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions
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2003
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Alexey V. Bolsinov
Božidar Jovanović
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+
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None
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2003
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Alexey V. Bolsinov
Božidar Jovanović
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+
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Geometrical interpretation of Benenti systems
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2002
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Alexey V. Bolsinov
Vladimir S. Matveev
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+
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None
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2002
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Alexey V. Bolsinov
А. В. Борисов
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+
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Integrable geodesic flows on homogeneous spaces
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2001
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Alexey V. Bolsinov
Božidar Jovanović
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Интегрируемые геодезические потоки на однородных пространствах
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2001
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Alexey V. Bolsinov
Alexey V. Bolsinov
Бошко Йованович
Boško S. Jovanović
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+
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Non-commutative Integrability, Moment Map and Geodesic Flows
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2001
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Alexey V. Bolsinov
Božidar Jovanović
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PDF
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Integrable geodesic flows with positive topological entropy
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2000
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I. A. Taĭmanov
Alexey V. Bolsinov
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PDF
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Метод круговых молекул и топология волчка Ковалевской
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2000
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Alexey V. Bolsinov
Alexey V. Bolsinov
П Х Рихтер
Péter Richter
Анатолий Тимофеевич Фоменко
А. Т. Фоменко
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Euler Case in Rigid Body Dynamics and Jacobi Problem About Geodesics on the Ellipsoid. Trajectory Isomorphism
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2000
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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Maupertuis Principle and Geodesic Equivalence
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2000
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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Rough Liouville Equivalence of Integrable Systems with Two Degrees of Freedom
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2000
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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On an example of an integrable geodesic flow with positive topological entropy
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1999
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Alexey V. Bolsinov
I. A. Taĭmanov
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Exact topological classification of Hamiltonian flows on smooth two-dimensional surfaces
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1999
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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Integrable geodesic flows on the suspensions of toric automorphisms
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1999
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Alexey V. Bolsinov
I. A. Taĭmanov
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PDF
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О примере интегрируемого геодезического потока с положительной топологической энтропией
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1999
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Alexey V. Bolsinov
Alexey V. Bolsinov
Искандер Асанович Тайманов
Искандер Асанович Тайманов
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+
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Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
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1998
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Alexey V. Bolsinov
Vladimir S. Matveev
А. Т. Фоменко
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Двумерные римановы метрики с интегрируемым геодезическим потоком. Локальная и глобальная геометрия
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1998
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Alexey V. Bolsinov
Alexey V. Bolsinov
Vladimir S. Matveev
Vladimir S. Matveev
Анатолий Тимофеевич Фоменко
А. Т. Фоменко
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+
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Orbital Isomorphism Between Two Classical Integrable Systems
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1998
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Alexey V. Bolsinov
А. Т. Фоменко
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PDF
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Инварианты Фоменко в теории интегрируемых гамильтоновых систем
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1997
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Alexey V. Bolsinov
Alexey V. Bolsinov
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Integrable Hamiltonian Systems with Two Degrees of Freedom
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1997
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Alexey V. Bolsinov
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+
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Topology of energy surfaces and existence of transversal Poincaré sections
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1996
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Alexey V. Bolsinov
Holger R. Dullin
Andreas Wittek
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+
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The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body
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1995
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Alexey V. Bolsinov
Валерий Васильевич Козлов
А. Т. Фоменко
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+
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A criterion for the topological conjugacy of Hamiltonian flows on two-dimensional compact surfaces
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1995
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Alexey V. Bolsinov
A. T. Fomenko
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+
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Orbital classification of geodesic flows on two-dimensional ellipsoids. The Jacobi problem is orbitally equivalent to the integrable Euler case in rigid body dynamics
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1995
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body
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1994
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body
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1993
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Alexey V. Bolsinov
А. Т. Фоменко
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+
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COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
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1992
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Alexey V. Bolsinov
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+
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Commutative families of functions related to consistent Poisson brackets
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1991
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Alexey V. Bolsinov
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+
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Involutory families of functions on dual spaces of Lie algebras of type $ G\underset{\varphi}{+}V$
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1987
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Alexey V. Bolsinov
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