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arXiv · 0710.3464

Mathematical remarks on transcritical bifurcation in Hamiltonian systems

Klaus Jaenich
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Abstract

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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Klaus Jaenich. 2007-10-18. Mathematical remarks on transcritical bifurcation in Hamiltonian systems. https://arxiv.org/abs/0710.3464

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