https://doi.org/10.1140/epjs/s11734-025-01724-7
Regular Article
Collective behaviors of some functional map neurons
1
College of Mechanical and Electrical Engineering, Tarim University, 843300, Alar, China
2
School of Physics and Electronics, Central South University, 410083, Changsha, China
3
School of Cyber Security, Gansu University of Political Science and Law, 730070, Lanzhou, China
4
Department of Physics, Lanzhou University of Technology, 730050, Lanzhou, China
Received:
3
April
2025
Accepted:
2
June
2025
Published online:
24
June
2025
The functional neuron serves as the foundational architecture of cognition, where the construction and comprehension of its dynamical characteristics are paramount. To better align with the refractory periods inherent in neuronal firing rather than continuous activity, we discretized the continuous neuronal model, thereby establishing a magnetic field-sensitive discrete photonic neuron model. Numerical simulations revealed that individual neurons exhibit distinct firing patterns accompanied by diverse energy oscillation modes. In both chain-structured and layered neural networks, the random distribution of initial values renders each neuron in different firing states, consequently generating energy gradient disparities among neurons. Such energy differentials drive the formation of synaptic connections between neurons, with coupling intensities dynamically modulated by the field energy gradient disparities, demonstrating neuronal self-adaptivity. This process ultimately drives neural networks toward synchronization, where inter-neuronal energy flows dissipate to achieve energy equilibrium. These findings advance the understanding of cooperative and competitive interactions among diverse signals within individual neurons, while providing an effective methodology for manipulating neuronal population synchronization through local deformations induced by field energy gradient distributions.
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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.
