Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays

Abstract

Coupled neuronal networks have received considerable attention due to their important and extensive applications in science and engineering. This paper focuses on the nonlinear dynamics of delay-coupled bidirectional FitzHugh–Nagumo (FHN) neuronal networks through theoretical analysis, numerical computations, and circuit simulations. A variety of interesting dynamical behaviors of the network are explored, such as the coexistence of nontrivial equilibria and periodic solutions, different patterns of coexisting attractors, and even chaotic motions. An electronic circuit is designed and performed to validate the facticity of the complicated behaviors, such as multistability and chaotic attractors. It is shown that the circuit simulations reach an agreement with the obtained results.