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The Fundamental Structure and the Reproduction of Spiral Wave in a Two-Dimensional Excitable Lattice

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  • Yu Qian
  • Zhaoyang Zhang

Abstract

In this paper we have systematically investigated the fundamental structure and the reproduction of spiral wave in a two-dimensional excitable lattice. A periodically rotating spiral wave is introduced as the model to reproduce spiral wave artificially. Interestingly, by using the dominant phase-advanced driving analysis method, the fundamental structure containing the loop structure and the wave propagation paths has been revealed, which can expose the periodically rotating orbit of spiral tip and the charity of spiral wave clearly. Furthermore, the fundamental structure is utilized as the core for artificial spiral wave. Additionally, the appropriate parameter region, in which the artificial spiral wave can be reproduced, is studied. Finally, we discuss the robustness of artificial spiral wave to defects.

Suggested Citation

  • Yu Qian & Zhaoyang Zhang, 2016. "The Fundamental Structure and the Reproduction of Spiral Wave in a Two-Dimensional Excitable Lattice," PLOS ONE, Public Library of Science, vol. 11(2), pages 1-14, February.
    • Handle: RePEc:plo:pone00:0149842
    DOI: 10.1371/journal.pone.0149842
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