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Spiral waves in systems with fractal heterogeneity

Author

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  • Tang, Jun
  • Luo, Jin-Ming
  • Ma, Jun
  • Yi, Ming
  • Yang, Xian-Qing

Abstract

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.

Suggested Citation

  • Tang, Jun & Luo, Jin-Ming & Ma, Jun & Yi, Ming & Yang, Xian-Qing, 2013. "Spiral waves in systems with fractal heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5764-5771.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:22:p:5764-5771
    DOI: 10.1016/j.physa.2013.07.043
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    Citations

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    Cited by:

    1. Yu, Yang F. & Fuller, Chase A. & McGuire, Margaret K. & Glaser, Rebecca & Smith, Nathaniel J. & Manz, Niklas & Lindner, John F., 2021. "Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    2. Yuan, Guoyong & Liu, Pengwei & Shi, Jifang & Wang, Guangrui, 2023. "Dynamics and control of spiral waves under feedback derived from a moving measuring point," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Wang, Xueli & Yuan, Guoyong & Liu, Jun & Wang, Guangrui, 2020. "Control of spiral drift by using feedback signals from a circular measuring domain in oscillatory media," Applied Mathematics and Computation, Elsevier, vol. 368(C).

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