On the bifurcation in a "modulated" logistic map

Wung Hong Huang

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2 Citations (Scopus)


It is known that in the bifurcation diagram of a logistic map with a modulated parameter (denoted as A) a cross-over of the inner bifurcation branches in the four-cycle region appears, thus showing a three-cycle (at A = A3). In this paper we present some numerical evidences showing that in the four-cycle region, before the cross-over of the inner bifurcation branches, there may be a cross-over within both the upper branch and the lower branch (at A= A ̃2), thus giving the appearance of a two-cycle in this region. We also find that the value of A ̃2 depends upon the initial condition.

Original languageEnglish
Pages (from-to)57-58
Number of pages2
JournalPhysics Letters A
Issue number1-2
Publication statusPublished - 1994 Oct 24

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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