Pair of excitable FitzHugh-Nagumo elements: synchronization, multistability, and chaos.
Phys Rev E Stat Nonlin Soft Matter Phys
; 72(5 Pt 2): 056218, 2005 Nov.
Article
en En
| MEDLINE
| ID: mdl-16383738
ABSTRACT
We analyze a pair of excitable FitzHugh-Nagumo elements, each of which is coupled repulsively. While the rest state for each element is globally stable for a phase-attractive coupling, various firing patterns, including cyclic and chaotic firing patterns, exist in an phase-repulsive coupling region. Although the rest state becomes linearly unstable via a Hopf bifurcation, periodic solutions associated to the firing patterns is not connected to the Hopf bifurcation. This means that the solution branch emanating from the Hopf bifurcation is subcritical and unstable for any coupling strength. Various types of cyclic firing patterns emerge suddenly through saddle-node bifurcations. The parameter region in which different periodic solutions coexist is also found.
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Bases de datos:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2005
Tipo del documento:
Article
País de afiliación:
Japón