Analytic integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4

Jaume Llibre, Adam Mahdi, Claudia Valls

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)

Abstract

In the analytic case we prove the conjecture of Maciejewski and Przybylska [J. Math. Phys.46(6), 062901 (2005)] regarding Hamiltonian systems with a homogeneous polynomial potential of degree 4. The proof of the conjecture completes the characterization of all the analytic integrable Hamiltonian system with a homogeneous polynomial potential of degree 4. © 2011 American Institute of Physics.
Original languageEnglish
Article number012702
JournalJournal of Mathematical Physics
Volume52
DOIs
Publication statusPublished - 5 Jan 2011

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