Secondary quasiperiodicity in the peroxidase-oxidase reaction

Lars F. Olsen, Tatiana V. Bronnikova, William M. Schaffer

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8 Scopus citations


Secondary quasiperiodicity (period-doubled oscillations modulated by an incommensurate frequency), or "Q2", is the temporal manifestation of quasiperiodic motion on period-doubled tori. The existence of this regime in a chemical reaction was first predicted (T. V. Bronnikova, W. M. Schaffer and L. F. Olsen, J. Chem. Phys., 1996, 105, 10849) in the course of numerical explorations of a detailed model of the peroxidase-oxidase system. Subsequent analysis (T. V. Bronnikova, W. M. Schaffer, M. J. B. Hauser and L. F. Olsen, J. Phys. Chem. B, 1998, 102, 632) suggested the possibility of homoclinic transitions ("fat torus" bifurcation) to chaos involving Q2. In the present paper, we present the first experimental evidence for secondary quasiperiodicity and fat torus bifurcations in a chemical oscillator. We also identify a second ("thin torus") route to chaos involving Q2. The relationship of these two bifurcation scenarios to each other and to the experimental findings is discussed.

Original languageEnglish (US)
Pages (from-to)1292-1298
Number of pages7
JournalPhysical Chemistry Chemical Physics
Issue number8
StatePublished - 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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