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

DOI10.1134/S1560354709020063zbMath1229.37059arXiv0903.5063MaRDI QIDQ653226

Maria Przybylska

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.5063

zbMATH Keywords

integrabilityHamiltonian systemshomogeneous potentialsdifferential Galois group

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items

DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY, Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces, New Dubrovin-type integrability theory applications of differential rings, Darboux points and integrability analysis of Hamiltonian systems with homogeneous rational potentials, Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom. Nongeneric cases, On bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds, Finiteness of integrable \(n\)-dimensional homogeneous polynomial potentials, On algebraic construction of certain integrable and super-integrable systems, Global properties of Kovalevskaya exponents, A survey on the Kovalevskaya exponents and their applications

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