Publication: Instabilities of the resonance attractor for spiral waves in an excitable medium
Issued Date
2002-01-01
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ISSN
1063651X
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2-s2.0-41349095179
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Mahidol University
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SCOPUS
Bibliographic Citation
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Vol.65, No.2 (2002)
Suggested Citation
Vladimir S. Zykov, On Uma Kheowan, Orapin Rangsiman, Stefan C. Müller Instabilities of the resonance attractor for spiral waves in an excitable medium. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Vol.65, No.2 (2002). doi:10.1103/PhysRevE.65.026206 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/20246
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Title
Instabilities of the resonance attractor for spiral waves in an excitable medium
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Abstract
During an experimental study of the resonance attractor for spiral waves in the light-sensitive Belousov-Zhabotinsky reaction, strong deviations of the attractor trajectories from circular orbits are observed if the time delay in the feedback loop becomes relatively long. A theory is developed that reduces the spiral wave dynamics under a long-delayed control to a higher order iterative map. Then the observed deviations are explained to be a result of instabilities appearing due to the Neimark bifurcation of the map. The theoretical predictions are in good agreement with the experimental data. © 2002 The American Physical Society.