Stability Analysis for a Fractional-Order Coupled FitzHugh–Nagumo-Type Neuronal Model
Oana Brandibur, Éva Kaslik
Abstract
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.
Topics & Concepts
Stability (learning theory)Type (biology)Order (exchange)Fractional calculusApplied mathematicsMathematicsStatistical physicsWork (physics)Computer sciencePhysicsThermodynamicsEconomicsBiologyMachine learningEcologyFinancestochastic dynamics and bifurcationFractional Differential Equations SolutionsNeural Networks Stability and Synchronization