https://doi.org/10.1140/epjs/s11734-025-01723-8
Regular Article
Chaos in two heteroclinic cycles coupled with chemical synapses
Lobachevsky State University of Nizhny Novgorod, 23 Prospekt Gagarina, 603950, Nizhny Novgorod, Russia
a
tatiana.levanova@itmm.unn.ru
Received:
13
April
2025
Accepted:
28
May
2025
Published online:
11
June
2025
Heteroclinic cycle is a promising concept in mathematical neuroscience that describes cyclical state transitions observed in the brain and nervous system. The framework is sensitive to external input and, at the same time, reproducible and robust against perturbations. Interaction between heteroclinic cycles can be a source for complex dynamics in the system. In particular, previous studies revealed that chaotic dynamics can appear as a result of interaction via diffusive couplings between two stable heteroclinic cycles. Our aim is to generalize this result to the case of chemical synaptic couplings, which are widespread in the brain. Using analytical and numerical methods, we prove the presence of chaos in the system and investigate the scenarios of appearance and destruction of observed chaotic dynamics.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
