Stochastic Morris–Lecar model with time delay under magnetic field excitation
In this paper, a four-dimensional Morris–Lecar (M–L) model with a memristor is improved by introducing synaptic dynamics, and an M–L model with time delay and Gaussian white noise is established. The stability of the model at the equilibrium point was demonstrated theoretically, and the correctness...
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Veröffentlicht in: | Chaos, solitons and fractals solitons and fractals, 2023-08, Vol.173, p.113715, Article 113715 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, a four-dimensional Morris–Lecar (M–L) model with a memristor is improved by introducing synaptic dynamics, and an M–L model with time delay and Gaussian white noise is established. The stability of the model at the equilibrium point was demonstrated theoretically, and the correctness of the theory was verified by numerical simulations. In the numerical simulation, the model is found to have multiple discharge modes of spike discharge, cluster discharge, chaotic discharge, and coexistence of multiple discharge modes by changing important parameters such as time delay, magnetic field feedback strength, and noise intensity. This lays the foundation for further exploration of the M–L neuron coupling model with time delay and noise as well as the study of synchronization of neuronal networks. |
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ISSN: | 0960-0779 1873-2887 |
DOI: | 10.1016/j.chaos.2023.113715 |