Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3

Jaume Llibre, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V(q1, q2), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals. © 2014 AIP Publishing LLC.
Original languageEnglish
Article number033507
JournalJournal of Mathematical Physics
Volume55
Issue number3
DOIs
Publication statusPublished - 21 Mar 2014

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