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Generic Excitable Dynamics on a Two-Dimensional Map

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  • Dante R. Chialvo

Abstract

This paper introduces a simple two-dimensional map exhibiting several generic properties reported in excitable systems. The elementary dynamic that is analogous to that of neural elements, is analyzed using phase-plane methods. Bifurcations from non-autonomous to autonomous, and from periodic to chaotic solutions are studied in a small region of parameter space. The basic implementation of distributed excitable networks using coupled maps lattices is illustrated in one- and two-dimensional media with nearest-neighbors coupling.

Suggested Citation

  • Dante R. Chialvo, 1993. "Generic Excitable Dynamics on a Two-Dimensional Map," Working Papers 93-03-013, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:93-03-013
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