Secondary quasiperiodicity in the peroxidase–oxidase reaction

Literature Information

Publication Date 2001-12-06
DOI 10.1039/B107311G
Impact Factor 3.676
Authors

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


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Abstract

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, 10 849) 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.

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Physical Chemistry Chemical Physics

Physical Chemistry Chemical Physics
CiteScore: 5.5
Self-citation Rate: 10.3%
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Physical Chemistry Chemical Physics (PCCP) is an international journal co-owned by 19 physical chemistry and physics societies from around the world. This journal publishes original, cutting-edge research in physical chemistry, chemical physics and biophysical chemistry. To be suitable for publication in PCCP, articles must include significant innovation and/or insight into physical chemistry; this is the most important criterion that reviewers and Editors will judge against when evaluating submissions. The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes spectroscopy, dynamics, kinetics, statistical mechanics, thermodynamics, electrochemistry, catalysis, surface science, quantum mechanics, quantum computing and machine learning. Interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, energy, surfaces/interfaces, and biophysical chemistry are welcomed if they demonstrate significant innovation and/or insight into physical chemistry. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.

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