Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree \(-4\)
type: Item
instance of: scholarly article
title: Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree \(-4\)
author: Jaume Llibre
author: Yuzhou Tian
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-10-25T00:00:00Z
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37J30
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 7606640
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: 2-degrees of freedom
zbMATH Keywords: homogeneous potential of degree \(-4\)
zbMATH Keywords: meromorphic integrability
zbMATH Keywords: Darboux point
MaRDI profile type: Publication
full work available at URL: dcdsb.2021228
OpenAlex ID: W3199003327
Wikidata QID: Q114022650
cites work: Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
cites work: Algebraic and topological classification of the homogeneous cubic vector fields in the plane
cites work: Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials
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: Integrability and nonintegrability of dynamical systems
cites work: Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
cites work: A theory of exact and approximate configurational invariants
cites work: Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree --3
cites work: Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4
cites work: Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree - 2
cites work: Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3
cites work: On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n
cites work: All meromorphically integrable 2D Hamiltonian systems with homogeneous potential of degree 3
cites work: Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential
cites work: Differential Galois theory and non-integrability of Hamiltonian systems
cites work: A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
cites work: A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential
cites work: Integrability of dynamical systems: algebra and analysis
cites work: Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
DOI: 10.3934/DCDSB.2021228
description: scientific article; zbMATH DE number 7606640