Multimodal regimes in a compartmental model of the dopamine neuron

Georgi S. Medvedev, Jaime Cisternas

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)333-356
Number of pages24
JournalPhysica D: Nonlinear Phenomena
Volume194
Issue number3-4
DOIs
StatePublished - 15 Jul 2004
Externally publishedYes

Keywords

  • Andronov-Hopf bifurcation
  • Chains of coupled oscillators
  • Multimodal oscillations

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