Blue sky catastrophe in the phenomenological model of neuron–astrocyte interaction
We study a bifurcation scenario that corresponds to the transition from bursting activity to spiking in a phenomenological model of neuron-astrocyte interaction in neuronal populations. In order to do this, we numerically obtain one-dimensional Poincaré return map and highlight its bifurcation structure using an analytically constructed piecewise smooth model map. This map reveals the existence of a cascade of period-adding bifurcations, leading to a bursting-spiking transition via blue sky catastrophe.
Authors
- Nikita V. Barabash (ORCID: https://orcid.org/0000-0001-7094-0776)
- Tatiana A. Levanova (ORCID: https://orcid.org/0000-0003-2034-7346)
- Lev A. Smirnov (ORCID: https://orcid.org/0000-0002-2293-6534)
Institutions
- Volga State University of Water Transport (RU)
- N. I. Lobachevsky State University of Nizhny Novgorod (RU)
Publication Details
- Journal
- Chaos An Interdisciplinary Journal of Nonlinear Science
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1063/5.0231551
- Citations
- 1
- Primary Topic
- Neural dynamics and brain function
- Type
- article
- Field-Weighted Citation Impact
- 0.34
Funders
- Russian Science Foundation
- Ministry of Science and Higher Education of the Russian Federation