Journal article
Multimodal regimes in a compartmental model of the dopamine neuron
Physica. D, v 194(3), pp 333-356
2004
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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.
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Details
- Title
- Multimodal regimes in a compartmental model of the dopamine neuron
- Creators
- Georgi S. Medvedev - Drexel UniversityJaime E. Cisternas - Princeton University
- Publication Details
- Physica. D, v 194(3), pp 333-356
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000222379200013
- Scopus ID
- 2-s2.0-2942560675
- Other Identifier
- 991019170606304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas
- Physics, Mathematical
- Physics, Multidisciplinary