English

Coexistence of periods in a bisecting bifurcation

Chaotic Dynamics 2016-01-20 v1

Abstract

The inner structure of the attractor appearing when the Varley-Gradwell-Hassell population model bifurcates from regular to chaotic behaviour is studied. By algebraic and geometric arguments the coexistence of a continuum of neutrally stable limit cycles with different periods in the attractor is explained.

Keywords

Cite

@article{arxiv.1103.0874,
  title  = {Coexistence of periods in a bisecting bifurcation},
  author = {V. Botella-Soler and J. A. Oteo and J. Ros},
  journal= {arXiv preprint arXiv:1103.0874},
  year   = {2016}
}

Comments

13 pages, 5 figures