Analytic approach to bifurcation cascades in a class of generalized H\'enon-Heiles potentials

S. N. Fedotkin; A. G. Magner; M. Brack

doi:10.1103/PhysRevE.77.066219

Analytic approach to bifurcation cascades in a class of generalized H\'enon-Heiles potentials

Chaotic Dynamics 2009-11-13 v1

Authors: S. N. Fedotkin , A. G. Magner , M. Brack

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Abstract

We derive stability traces of bifurcating orbits in H\'enon-Heiles potentials near their saddles

Keywords

bifurcation cascades H\'enon-Heiles potentials analytic approach stability traces saddles nonlinear dynamics

Cite

@article{arxiv.0804.0118,
  title  = {Analytic approach to bifurcation cascades in a class of generalized H\'enon-Heiles potentials},
  author = {S. N. Fedotkin and A. G. Magner and M. Brack},
  journal= {arXiv preprint arXiv:0804.0118},
  year   = {2009}
}