English

Bubbling and bistability in two parameter discrete systems

Chaotic Dynamics 2017-08-02 v1

Abstract

We present a graphical analysis of the mechanisms underlying the occurrences of bubbling sequences and bistability regions in the bifurcation scenario of a special class of one dimensional two parameter maps. The main result of the analysis is that whether it is bubbling or bistability is decided by the sign of the third derivative at the inflection point of the map function.

Keywords

Cite

@article{arxiv.nlin/0001070,
  title  = {Bubbling and bistability in two parameter discrete systems},
  author = {G. Ambika and N. V. Sujatha},
  journal= {arXiv preprint arXiv:nlin/0001070},
  year   = {2017}
}

Comments

LaTeX v2.09, 14 pages with 4 PNG figures