Bifurcation analysis of bursting solutions of two Hindmarsh-Rose neurons with joint electrical and synaptic coupling
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Bibliographic record
Abstract
In this paper, we investigate the dynamic behavior of a system oftwo coupled Hindmarsh-Rose (HR) neurons, based on bifurcationanalysis of its fast subsystem. The individual HR neuron has chaoticbehavior, but they can become regularized when coupled throughsynaptic coupling or joint electrical-synaptic coupling. Throughnumerical methods we first investigate the bifurcation structure of its fastsubsystem. We show that the emerging of periodic patterns ofneurons is related to topological changes of its underlyingbifurcations. The Lyaponov exponent calculations further reveal thepathway from chaotic bursting behavior to regular bursting of HRneurons. Finally, we include both electrical and synaptic couplingin the system, and numerically calculate the time dynamics. Eventhough electrical couplings (or gap junctions) usually does notregularize chaotic trajectories, but joint coupling has been moreeffective than synaptic coupling alone in producing stable rhythms.The main contribution of this paper is that we provide amathematical description for transitions of neuron dynamics fromchaotic trajectories to regular bursting when synaptic andelectrical-synaptic coupling strengthens, using bifurcationanalysis.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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