Instabilities of the resonance attractor for spiral waves in an excitable medium
- 16 January 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 65 (2) , 026206
- https://doi.org/10.1103/physreve.65.026206
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.Keywords
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