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Transcritical bifurcations in non-integrable Hamiltonian systems

Brack, Matthias and Tanaka, K (2008) Transcritical bifurcations in non-integrable Hamiltonian systems. Physical Review E 77, 046205.

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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 ...


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Item type:Article
Institutions:Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:7815
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