Mathematical remarks on transcritical bifurcation in Hamiltonian systems

Details Mathematical remarks on transcritical bifurcation in Hamiltonian systems Mathematical remarks on transcritical bifurcation in Hamiltonian systems

2007-10-18

arxiv.org/abs/0710.3464v1

Mathematics

Symplectic Geometry

Scientific paper

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 Poincar\'e maps of 2-dimensional Hamiltonian systems.
[BT] M. Brack and K. Tanaka, arXiv:0705.0753

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