Three-branched linear map as a model for a perturbed oregonator

A. L. Kawczyński*, K. Bar-Eli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In the present paper we examine the behavior of a 3-branched linear map which resulted from computations of the periodically perturbed Oregonator. It turns out that the linear map describes quite satisfactorily the period composition predicted by the chemical model and by the more elaborated nonlinear hyperbolic maps that were described in a previous publication. In particular, we have shown that in any interval of the control parameter, two periodic orbits, differing by one point, coexist with one being stable and the other unstable. This phenomenon is, to the best of our knowledge, described for the first time in the literature.

Original languageEnglish
Pages (from-to)4592-4597
Number of pages6
JournalJournal of Physical Chemistry A
Issue number25
StatePublished - 19 Jun 1997


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