Transcritical bifurcations in non-integrable Hamiltonian systems

URN to cite this document:: urn:nbn:de:bvb:355-epub-78151
DOI to cite this document:: 10.5283/epub.7815

Brack, Matthias ; Tanaka, K.

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Date of publication of this fulltext: 05 Aug 2009 13:57

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Abstract

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 ...