https://doi.org/10.1140/epjs/s11734-023-00781-0
Regular Article
Shaping spiking patterns through synaptic parameters as revealed by conventional and wavelet-based bifurcation analysis
1
Centre for Cognition and Decision Making, National Research University Higher School of Economics, Krivokolenniy Sidewalk, 3, 101000, Moscow, Russia
2
Group of Neural Theory, École Normale Supérieure PSL University, Rue Lhomond, 24, 75005, Paris, France
3
Department of Theoretical Physics, Kursk State University, Radishcheva St. 33, 305000, Kursk, Russia
4
Saint-Petersburg State Research Institute of Phthisiopulmonology, Lygovsky Av. 2-4, 191036, Saint Petersburg, Russia
5
Immanuel Kant Baltic Federal University, Nevskogo St. 14, 236041, Kaliningrad, Russia
Received:
25
October
2022
Accepted:
25
January
2023
Published online:
22
February
2023
We investigate different dynamical regimes of a small neuronal circuit. This circuit includes two cells that are interconnected by means of dynamical synapses (excitatory and inhibitory). On the individual level, each neuron is modelled by FitzHugh–Nagumo equations. To analyze complex patterns and transitions between them in this small circuit, we apply wavelet analysis. We analyse the influence of synaptic kinetics on the synchronization in this circuit. We also show that the wavelet analysis could be applicable to systems that are difficult to investigate using methods of classical bifurcation analysis.
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