Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 392, Issue 22, Pages 5764-5771Publisher
ELSEVIER
DOI: 10.1016/j.physa.2013.07.043
Keywords
Fractal heterogeneity; Spiral wave; Tip trajectory
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Funding
- National Natural Science Foundation of China [11105219, 11275259]
- Fundamental Research Funds for the Central Universities of China [2010QNA36]
- Advanced Analysis and Computation Center of CUMT
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The influence of fractal heterogeneity on a spiral wave in an excitable system is numerically studied based on the Barkley model. The heterogeneity is implemented by letting the diffusive coefficient in the heterogeneous area be different from the other area. The results show that fruitful transitions of the spiral tip trajectories are induced by the fractal heterogeneity. In particular, when the heterogeneity increases to a sufficiently high level the spiral tip trajectory always changes to a stable rotating trajectory (closed-circle tip trajectory), whatever transitions have been induced by a lower level of heterogeneity. We qualitatively ascribe the transitions to the attraction on the spiral tip exerted by the heterogeneous area. (C) 2013 Elsevier B.V. All rights reserved.
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