An autonomous model describing biological aspects of synapses affected by electromagnetic fields, is considered. A quaternary system comparable to the third-order FitzHuh–Rinzel (FHR) model is obtained. Linear stability criteria and conditions for Hopf bifurcations are achieved also by means of a ternary auxiliary spectrum showing that some of the resulting conditions recall those related to critical solutions of the FHR system.
Dynamics of neural system under the influence of a magnetic flux / De Angelis, M.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 74:(2025), pp. 1051-1065. [10.1007/s11587-023-00828-3]
Dynamics of neural system under the influence of a magnetic flux
De Angelis M.
2025
Abstract
An autonomous model describing biological aspects of synapses affected by electromagnetic fields, is considered. A quaternary system comparable to the third-order FitzHuh–Rinzel (FHR) model is obtained. Linear stability criteria and conditions for Hopf bifurcations are achieved also by means of a ternary auxiliary spectrum showing that some of the resulting conditions recall those related to critical solutions of the FHR system.File in questo prodotto:
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