On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n

DOI10.1142/S0219199717500456zbMath1407.37095MaRDI QIDQ4562077

Jaume Llibre, Claudia Valls

Publication date: 17 December 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsDarboux polynomialsDarboux first integralsexponential factorspolynomial integrabilityweight-homogeneous differential systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items

Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree \(-4\)

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