Mathematical remarks on transcritical bifurcation in Hamiltonian systems
Symplectic Geometry
2007-10-22 v1 Dynamical Systems
Chaotic Dynamics
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 Poincar\'e maps of 2-dimensional Hamiltonian systems. [BT] M. Brack and K. Tanaka, arXiv:0705.0753
Cite
@article{arxiv.0710.3464,
title = {Mathematical remarks on transcritical bifurcation in Hamiltonian systems},
author = {Klaus Jaenich},
journal= {arXiv preprint arXiv:0710.3464},
year = {2007}
}