English

Basin Bifurcations in a Two-Dimensional Logistic Map

Chaotic Dynamics 2007-05-23 v1 Pattern Formation and Solitons

Abstract

Previous works have been devoted to the study of two-dimensional noninvertible maps, obtained using a coupling between one-dimensional logistic maps. This paper is devoted to the study of a specific one, in order to complete previous results (Ref. 5 and 7), regarding the evolution of basins and attractors, when considering the tool of critical manifolds.

Keywords

Cite

@article{arxiv.nlin/0304059,
  title  = {Basin Bifurcations in a Two-Dimensional Logistic Map},
  author = {Daniele Fournier-Prunaret and Ricardo Lopez-Ruiz},
  journal= {arXiv preprint arXiv:nlin/0304059},
  year   = {2007}
}

Comments

18 pages, 34 figures