https://doi.org/10.1140/epjs/s11734-025-01988-z
Regular Article
Exploring bifurcation behavior of Leech neuron networks: the role of topology under disturbance and stability
1
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
2
Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
a
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Received:
1
July
2025
Accepted:
23
September
2025
Published online:
14
October
2025
Abstract
Understanding the collective behavior of dynamical systems is crucial for interpreting natural phenomena such as flocking in birds or schooling in fish. Neural systems, particularly the human brain, represent one of the most intricate examples, motivating extensive efforts to model neuronal activity. Among these models, the Leech neuron model is notable for exhibiting two coexisting tonic spiking attractors, making it a suitable candidate for studying complex dynamics in neural populations. While complex networks have been widely explored, the influence of network topology on bifurcation behavior has received little attention. This study investigates bifurcation phenomena in bi-stable Leech neuronal networks across regular, complete, and star topologies, under both weak and strong coupling strengths. The results reveal that network topology significantly affects the location and nature of bifurcation points, and that perturbations applied to specific neurons can drive distinct dynamical outcomes depending on their topological position. These findings highlight the essential influence of topology in shaping neural dynamics and offer new insights into brain-like network behavior and the design of robust neural systems.
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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.
