I. Mamaev | Udmurt State University (original) (raw)
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Papers by I. Mamaev
Nelineinaya Dinamika, 2014
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Nelineinaya Dinamika, 2016
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Nelineinaya Dinamika, 2008
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Nelineinaya Dinamika, 2010
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Doklady Mathematics
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Discrete and Continuous Dynamical Systems
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Celestial Mechanics and Dynamical Astronomy, 2015
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Nonlinear Dynamics, 2014
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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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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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Fluid Dynamics Research, 2014
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Regular & Chaotic Dynamics, 2003
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Regular & Chaotic Dynamics, 2003
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Regular & Chaotic Dynamics, 2003
ABSTRACT
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Regular & Chaotic Dynamics, 2004
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Mathematical Notes, 2004
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Regular & Chaotic Dynamics, 2004
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Nelineinaya Dinamika, 2014
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Nelineinaya Dinamika, 2016
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Nelineinaya Dinamika, 2008
Bookmarks Related papers MentionsView impact
Nelineinaya Dinamika, 2010
Bookmarks Related papers MentionsView impact
Doklady Mathematics
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Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Discrete and Continuous Dynamical Systems
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Celestial Mechanics and Dynamical Astronomy, 2015
Bookmarks Related papers MentionsView impact
Nonlinear Dynamics, 2014
Bookmarks Related papers MentionsView impact
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.
Bookmarks Related papers MentionsView impact
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.
Bookmarks Related papers MentionsView impact
Fluid Dynamics Research, 2014
Bookmarks Related papers MentionsView impact
Regular & Chaotic Dynamics, 2003
Bookmarks Related papers MentionsView impact
Regular & Chaotic Dynamics, 2003
Bookmarks Related papers MentionsView impact
Regular & Chaotic Dynamics, 2003
ABSTRACT
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Regular & Chaotic Dynamics, 2004
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Mathematical Notes, 2004
Bookmarks Related papers MentionsView impact
Regular & Chaotic Dynamics, 2004
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