Transcritical bifurcations in non-integrable Hamiltonian systems

URN zum Zitieren dieses Dokuments:: urn:nbn:de:bvb:355-epub-78151
DOI zum Zitieren dieses Dokuments:: 10.5283/epub.7815

Brack, Matthias ; Tanaka, K.

Vorschau

PDF - Veröffentlichte Version
(1MB)

Veröffentlichungsdatum dieses Volltextes: 05 Aug 2009 13:57

Alternative Links zum Volltext:DOI

Details

Vorschau

Bibliographische Daten exportieren

Zusammenfassung

We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps. We then present numerical examples of transcritical bifurcations in a class of generalized H\'enon-Heiles Hamiltonians ...