DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY (Q5305096)

scientific article; zbMATH DE number 5684695

Language	Label	Description	Also known as
English	DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY	scientific article; zbMATH DE number 5684695

Statements

instance of

scholarly article

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title

DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY (English)

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zbMATH Open document ID

1192.37083

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DOI

10.1142/S0219887809004272

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author

Andrzej J. Maciejewski

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Maria Przybylska

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published in

International Journal of Geometric Methods in Modern Physics

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publication date

19 March 2010

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full work available at URL

https://arxiv.org/abs/0912.1046

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Mathematics Subject Classification ID

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integrability

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differential Galois theory

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Hamiltonian systems

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MaRDI profile type

MaRDI publication profile

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Integrability of generalized Jacobi problem

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Integrability of Hamiltonian systems with homogeneous potentials of degree zero

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Q4195061

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Variations on a theorem of Abel

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A fixed-point theorem for endomorphisms of the projective space with applications to algebraic foliations

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Multidimensional residues and polynomial equations

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Non-integrability of certain Hamiltonian systems. Applications of the Morales-Ramis differential Galois extension of Ziglin theory

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Nonintegrability of the Suslov problem

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Non-integrability of restricted two body problems in constant curvature spaces

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Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields

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All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3

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Non-integrability of the generalized two fixed centres problem

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Nonintegrability of the Suslov problem

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Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential

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Differential Galois approach to the non-integrability of the heavy top problem

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Non-integrability of Gross-Neveu systems

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Global integrability of cosmological scalar fields

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Differential Galois theory and non-integrability of Hamiltonian systems

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Integrability of Hamiltonian systems and differential Galois groups of higher variational equations

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Algebraic proof of the non-integrability of Hill's problem

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New integrable Hamiltonian system with first integral quartic in momenta

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A list of all integrable two-dimensional homogeneous polynomial potentials with a polynomial integral of order at most four in the momenta

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Finiteness of integrable \(n\)-dimensional homogeneous polynomial potentials

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Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom

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Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom. Nongeneric cases

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Nonintegrability of density perturbations in the Friedmann-Robertson-Walker universe

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Sur l'absence d'une intégrale première méromorphe supplémentaire dans le problème plan des trois corps

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Non-existence of new meromorphic first integrals in the planar three-body problem

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Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I

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Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II

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OpenAlex ID

W3106159172

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Sitelinks

Mathematics(1 entry)

mardi Publication:5305096