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Analytic integrability of Hamiltonian systems with exceptional potentials - MaRDI portal

Analytic integrability of Hamiltonian systems with exceptional potentials (Q1681106)

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scientific article; zbMATH DE number 6811613

Language	Label	Description	Also known as
English	Analytic integrability of Hamiltonian systems with exceptional potentials	scientific article; zbMATH DE number 6811613

Statements

scholarly article

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Analytic integrability of Hamiltonian systems with exceptional potentials (English)

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Physics Letters. A

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publication date

23 November 2017

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full work available at URL

http://ddd.uab.cat/record/145299

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MaRDI profile type

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Integrability of Hamiltonian systems with homogeneous potentials of degrees \(\pm 2\). An application of higher order variational equations

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Integrability of potentials of degree \(k \neq \pm 2\). Second order variational equations between Kolchin solvability and abelianity

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Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree --3

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Polynomial first integrals for quasi-homogeneous polynomial differential systems

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Integrable variational equations of non-integrable systems

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Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential

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Generic Hamiltonian dynamical systems are neither integrable nor ergodic

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Differential Galois theory and non-integrability of Hamiltonian systems

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A note on the non-integrability of some Hamiltonian systems with a homogeneous potential.

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Galoisian obstructions to integrability of Hamiltonian systems. II.

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

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New integrable Hamiltonian system with first integral quartic in momenta

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Darboux points and integrability analysis of Hamiltonian systems with homogeneous rational potentials

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A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential

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A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential

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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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10.1016/J.PHYSLETA.2015.07.034

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Sitelinks

Mathematics(1 entry)

mardi Publication:1681106

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