Mathematical remarks on transcritical bifurcation in Hamiltonian systems

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This article is meant as a mathematical appendix or comment on [BT]. We first consider the notion of transcritical bifurcations of fixed points of general area-preserving maps, and then adress some questions related to [BT] on bifurcation in Poincaré maps of 2-dimensional Hamiltonian systems. [BT] M. Brack and K. Tanaka, arXiv:0705.0753

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Symplectic Geometry, Dynamical Systems, Chaotic Dynamics, LaTeX, 13 pages

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http://salesiana.dossiersoluciones.com/handle/123456789/140340

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3464
 http://arxiv.org/abs/0710.3464

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arXiv