Generic Excitable Dynamics on a Two-Dimensional Map
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.
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|Date of creation:||Mar 1993|
|Date of revision:|
|Contact details of provider:|| Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501|
Web page: http://www.santafe.edu/sfi/publications/working-papers.html
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