On the periodic orbits of Hamiltonian systems

Jaume Llibre, Ana Rodrigues

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


We show how to apply to Hamiltonian differential systems recent results for studying the periodic orbits of a differential system using the averaging theory. We have chosen two classical integrable Hamiltonian systems, one with the Hooke potential and the other with the Kepler potential, and we study the periodic orbits which bifurcate from the periodic orbits of these integrable systems, first perturbing the Hooke Hamiltonian with a nonautonomous potential, and second perturbing the Kepler problem with an autonomous potential. © 2010 American Institute of Physics.
Original languageEnglish
Article number048004JMP
JournalJournal of Mathematical Physics
Publication statusPublished - 1 Apr 2010

Fingerprint Dive into the research topics of 'On the periodic orbits of Hamiltonian systems'. Together they form a unique fingerprint.

Cite this