Multimodal regimes in a compartmental model of the dopamine neuron

Georgi S. Medvedev*, Jaime E. Cisternas

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

43 Citas (Scopus)

Resumen

We study chains of strongly electrically coupled relaxation oscillators modeling dopamine neurons. When individual oscillators are in the regime close to an Andronov-Hopf bifurcation (AHB), the coupled system exhibits a variety of oscillatory behavior. We show that the proximity of individual oscillators to the AHB has a significant impact on the system dynamics in a wide range of parameters. It manifests itself through a family of stable multimodal periodic solutions that are composed out of large-amplitude relaxation oscillations and small-amplitude oscillations. This family of solutions has a rich bifurcation structure. The waveform and the period vary greatly across the family. The structure and bifurcations of the stable periodic solutions of the coupled system are investigated using numerical and analytic techniques.

Idioma originalInglés
Páginas (desde-hasta)333-356
Número de páginas24
PublicaciónPhysica D: Nonlinear Phenomena
Volumen194
N.º3-4
DOI
EstadoPublicada - 15 jul 2004
Publicado de forma externa

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