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Topological atlas of the Kovalevskaya top in a double field (Q1708289)

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Language	Label	Description	Also known as
English	Topological atlas of the Kovalevskaya top in a double field	scientific article

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scholarly article

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Topological atlas of the Kovalevskaya top in a double field (English)

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Journal of Mathematical Sciences (New York)

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publication date

5 April 2018

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full work available at URL

https://arxiv.org/abs/1412.1754

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zbMATH Keywords

Kovalevskaya top

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topological analysis

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iso-energy invariant

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Mikhail P. Kharlamov

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Pavel E. Ryabov

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MaRDI profile type

MaRDI publication profile

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Euler equations on finite dimensional Lie algebras arising in physical problems

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Spectra of Sol-manifolds: Arithmetic and quantum monodromy

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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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The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body

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Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

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The method of loop molecules and the topology of the Kovalevskaya top

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Topology of bifurcation diagrams of integrable systems on semisimple Lie algebras.

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Geodesics on the ellipsoid and monodromy

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THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY

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The symplectic topology of completely integrable Hamiltonian systems

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A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds

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A BORDISM THEORY FOR INTEGRABLE NONDEGENERATE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM. A NEW TOPOLOGICAL INVARIANT OF HIGHER-DIMENSIONAL INTEGRABLE SYSTEMS

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ON TYPICAL TOPOLOGICAL PROPERTIES OF INTEGRABLE HAMILTONIAN SYSTEMS

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Bifurcation of common levels of first integrals of the Kovalevskaya problem

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Bifurcation diagrams of the Kowalevski top in two constant fields

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Separation of variables in the generalized 4th Appelrot class

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Separation of variables in the generalized 4th Appelrot class. II: Real solutions

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Phase topology of one system with separated variables and singularities of the symplectic structure

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Net diagrams for the Fomenko invariant in the integrable system with three degrees of freedom

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Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top

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Bifurcation diagrams involving the linear integral of Yehia

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On the existence of motions in the generalized 4th Appelrot class

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Non-degenerate energy surfaces of rigid body in two constant fields

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Classification of hyperbolic singularities of rank zero of integrable Hamiltonian systems

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Saddle singularities of complexity 1 of integrable Hamiltonian systems

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Lax representation with a spectral parameter for the Kowalevski top and its generalizations

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Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field

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Topology and mechanics. I

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A new integrable case for the Kirchhoff equation

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Lax pairs for the deformed Kowalevski and Goryachev--Chaplygin tops

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New integrable cases in the dynamics of rigid bodies

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New integrable problems in the dynamics of rigid bodies with the Kovalevskaya configuration. I: The case of axisymmetric forces. II: The case of asymmetric forces

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The master integrable two-dimensional system with a quartic second integral

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Fomenko-Zieschang invariant in the Bogoyavlensky integrable case

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Phase topology of the first Appelrot class of a Kowalewski top in a magnetic field

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Decomposition of nondegenerate singularities of integrable Hamiltonian systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10958-017-3387-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:1708289

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