I. Mamaev | Udmurt State University (original) (raw)

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Papers by I. Mamaev

Research paper thumbnail of Invariant Measure and Hamiltonization of Nonholonomic Systems

Nelineinaya Dinamika, 2014

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Research paper thumbnail of On the Hadamard–Hamel problem and the dynamics of wheeled vehicles

Nelineinaya Dinamika, 2016

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Research paper thumbnail of Hamiltonian Dynamics of Liquid and Gas Self-Gravitating Ellipsoids

Nelineinaya Dinamika, 2008

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Research paper thumbnail of Гамильтоновость и интегрируемость задачи Суслова

Nelineinaya Dinamika, 2010

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Research paper thumbnail of Necessary and sufficient conditions for the polynomial integrability of generalized Toda chains

Doklady Mathematics

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Research paper thumbnail of Mathematical methods in dynamics of vortex structures

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Research paper thumbnail of Fundamental and applied problems in vortex theory

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Research paper thumbnail of New periodic solutions for three or four identical vortices on a plane and a sphere

Discrete and Continuous Dynamical Systems

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Research paper thumbnail of Hamiltonization of nonholonomic systems

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Research paper thumbnail of Figures of equilibrium of an inhomogeneous self-gravitating fluid

Celestial Mechanics and Dynamical Astronomy, 2015

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Research paper thumbnail of On the loss of contact of the Euler disk

Nonlinear Dynamics, 2014

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Research paper thumbnail of The dynamics of three vortex sources

Regular and Chaotic Dynamics, 2014

ABSTRACT In this paper, the integrability of the equations of a system of three vortex sources is... more ABSTRACT In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.

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Research paper thumbnail of Kovalevskaya Top and Generalizations of Integrable SYSTEMS1

Generalizations of the Kovalevskaya, Chaplygin, Goryachev-Chaplygin and Bogoyavlensky systems on ... more Generalizations of the Kovalevskaya, Chaplygin, Goryachev-Chaplygin and Bogoyavlensky systems on a bundle are considered in this paper. More- over, a method of introduction of separating variables and action-angle vari- ables is described. Another integration method for the Kovalevskaya top on the bundle is found. This method uses a coordinate transformation that re- duces the Kovalevskaya system to the Neumann system.

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Research paper thumbnail of On the dynamics of point vortices in an annular region

Fluid Dynamics Research, 2014

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Research paper thumbnail of Motion of a circular cylinder and n point vortices in a perfect fluid

Regular & Chaotic Dynamics, 2003

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Research paper thumbnail of Dynamics of rolling disk

Regular & Chaotic Dynamics, 2003

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Research paper thumbnail of An integrability of the problem on motion of cylinder and vortex in the ideal fluid

Regular & Chaotic Dynamics, 2003

ABSTRACT

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Research paper thumbnail of Two-body problem on a sphere. Reduction, stochasticity, periodic orbits

Regular & Chaotic Dynamics, 2004

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Research paper thumbnail of Integrability of the problem of the motion of a cylinder and a vortex in an ideal fluid

Mathematical Notes, 2004

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Research paper thumbnail of Absolute and relative choreographies in the problem of point vortices moving on a plane

Regular & Chaotic Dynamics, 2004

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Research paper thumbnail of Invariant Measure and Hamiltonization of Nonholonomic Systems

Nelineinaya Dinamika, 2014

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the Hadamard–Hamel problem and the dynamics of wheeled vehicles

Nelineinaya Dinamika, 2016

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Hamiltonian Dynamics of Liquid and Gas Self-Gravitating Ellipsoids

Nelineinaya Dinamika, 2008

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Гамильтоновость и интегрируемость задачи Суслова

Nelineinaya Dinamika, 2010

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Necessary and sufficient conditions for the polynomial integrability of generalized Toda chains

Doklady Mathematics

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Research paper thumbnail of Mathematical methods in dynamics of vortex structures

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Fundamental and applied problems in vortex theory

Bookmarks Related papers MentionsView impact

Research paper thumbnail of New periodic solutions for three or four identical vortices on a plane and a sphere

Discrete and Continuous Dynamical Systems

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Hamiltonization of nonholonomic systems

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Figures of equilibrium of an inhomogeneous self-gravitating fluid

Celestial Mechanics and Dynamical Astronomy, 2015

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Research paper thumbnail of On the loss of contact of the Euler disk

Nonlinear Dynamics, 2014

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The dynamics of three vortex sources

Regular and Chaotic Dynamics, 2014

ABSTRACT In this paper, the integrability of the equations of a system of three vortex sources is... more ABSTRACT In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.

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Research paper thumbnail of Kovalevskaya Top and Generalizations of Integrable SYSTEMS1

Generalizations of the Kovalevskaya, Chaplygin, Goryachev-Chaplygin and Bogoyavlensky systems on ... more Generalizations of the Kovalevskaya, Chaplygin, Goryachev-Chaplygin and Bogoyavlensky systems on a bundle are considered in this paper. More- over, a method of introduction of separating variables and action-angle vari- ables is described. Another integration method for the Kovalevskaya top on the bundle is found. This method uses a coordinate transformation that re- duces the Kovalevskaya system to the Neumann system.

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Research paper thumbnail of On the dynamics of point vortices in an annular region

Fluid Dynamics Research, 2014

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Research paper thumbnail of Motion of a circular cylinder and n point vortices in a perfect fluid

Regular & Chaotic Dynamics, 2003

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Research paper thumbnail of Dynamics of rolling disk

Regular & Chaotic Dynamics, 2003

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Research paper thumbnail of An integrability of the problem on motion of cylinder and vortex in the ideal fluid

Regular & Chaotic Dynamics, 2003

ABSTRACT

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Research paper thumbnail of Two-body problem on a sphere. Reduction, stochasticity, periodic orbits

Regular & Chaotic Dynamics, 2004

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Research paper thumbnail of Integrability of the problem of the motion of a cylinder and a vortex in an ideal fluid

Mathematical Notes, 2004

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Research paper thumbnail of Absolute and relative choreographies in the problem of point vortices moving on a plane

Regular & Chaotic Dynamics, 2004

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