Integrability of Hamiltonian systems with algebraic potentials
type: Item
instance of: scholarly article
title: Integrability of Hamiltonian systems with algebraic potentials
zbMATH Open document ID: 1377.37097
author: Andrzej J. Maciejewski
author: Maria Przybylska
published in: Physics Letters. A
publication date: 2018-01-12T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37J30
Mathematics Subject Classification ID: 70G45
zbMATH DE Number: 6825955
zbMATH Keywords: non-integrability criteria
zbMATH Keywords: integrability
zbMATH Keywords: differential Galois theory
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: algebraic potentials
MaRDI profile type: Publication
full work available at URL: j.physleta.2015.08.035
OpenAlex ID: W1237724740
Wikidata QID: Q104404649
cites work: Multiparticle systems. The algebra of integrals and integrable cases
cites work: Higher-order superintegrability of a Holt related potential
cites work: A note on algebraic potentials and Morales-Ramis theory
cites work: Integrability conditions at order 2 for homogeneous potentials of degree −1
cites work: Third order integrability conditions for homogeneous potentials of degree \(-1\)
cites work: Integrability of Hamiltonian systems with homogeneous potentials of degrees \(\pm 2\). An application of higher order variational equations
cites work: Integrability of potentials of degree \(k \neq \pm 2\). Second order variational equations between Kolchin solvability and abelianity
cites work: Q3999049
cites work: Q5596414
cites work: Non-integrability of the generalized two fixed centres problem
cites work: Differential Galois theory and non-integrability of Hamiltonian systems
cites work: A note on the non-integrability of some Hamiltonian systems with a homogeneous potential.
cites work: Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
cites work: A nonseparable quantum superintegrable system in 2D real Euclidean space
cites work: A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
cites work: Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
cites work: Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
DOI: 10.1016/J.PHYSLETA.2015.08.035
description: scientific article; zbMATH DE number 6825955