TY - JOUR
T1 - Multimodal regimes in a compartmental model of the dopamine neuron
AU - Medvedev, Georgi S.
AU - Cisternas, Jaime E.
PY - 2004/7/15
Y1 - 2004/7/15
N2 - 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.
AB - 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.
KW - Andronov-Hopf bifurcation
KW - Chains of coupled oscillators
KW - Multimodal oscillations
UR - http://www.scopus.com/inward/record.url?scp=2942560675&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2004.02.006
DO - 10.1016/j.physd.2004.02.006
M3 - Article
AN - SCOPUS:2942560675
VL - 194
SP - 333
EP - 356
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 3-4
ER -