1. Vibrational resonance in the FitzHugh-Nagumo neuron model under state-dependent time delay
- Author
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Siewe, M. Siewe, Rajasekar, S., Coccolo, Mattia, and Sanjuán, Miguel A. F.
- Subjects
Nonlinear Sciences - Chaotic Dynamics ,Physics - Computational Physics ,65 ,G.1 ,J.2 - Abstract
We propose a nonlinear one-dimensional FitzHugh--Nagumo neuronal model with an asymmetric potential driven by both a high-frequency and a low-frequency signal. Our numerical analysis focuses on the influence of a state-dependent time delay on vibrational resonance and delay-induced resonance phenomena. The response amplitude at the low-frequency is explored to characterize the vibrational resonance and delay-induced resonance. By this effort, we realize that for smaller values of the amplitude of the state-dependent time-delay velocity component, vibrational resonance and multi-resonance occur in the neuronal model. For large values of the high-frequency excitation amplitude, vibrational resonance appears with one peak. We observe a decrease in the response when the amplitude of the state-dependent time-delay velocity component increases. Also, we analyze how the state-dependent time-delay position and velocity components can give birth to delay-induced resonance for separate and together. The main results of this work are that the state-dependent time-delay velocity component can play a major role in both phenomena. In fact the parameter of the delay can control the triggering of the two resonances., Comment: 20 pages, 11 figures
- Published
- 2024