Stability Analysis for a Fractional-Order Coupled FitzHugh–Nagumo-Type Neuronal Model

Stability Analysis for a Fractional-Order Coupled FitzHugh–Nagumo-Type Neuronal Model

The aim of this work is to describe the dynamics of a fractional-order coupled FitzHugh–Nagumo neuronal model. The equilibrium states are analyzed in terms of their stability properties, both dependently and independently of the fractional orders of the Caputo derivatives, based on recently establis...

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Veröffentlicht in:Fractal and fractional 2022-05, Vol.6 (5), p.257
Hauptverfasser: Brandibur, Oana, Kaslik, Eva
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
coupled system
Equilibrium
FitzHugh–Nagumo neuronal model
fractional-order differential equations
instability
Mathematical models
Neurons
stability
Stability analysis
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Zusammenfassung:The aim of this work is to describe the dynamics of a fractional-order coupled FitzHugh–Nagumo neuronal model. The equilibrium states are analyzed in terms of their stability properties, both dependently and independently of the fractional orders of the Caputo derivatives, based on recently established theoretical results. Numerical simulations are shown to clarify and exemplify the theoretical results.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6050257