TY - JOUR

T1 - On synchronization in heterogeneous FitzHugh–Nagumo networks

AU - Plotnikov, Sergei A.

AU - Fradkov, Alexander L.

N1 - Publisher Copyright: © 2019 Elsevier Ltd Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/4

Y1 - 2019/4

N2 - Biological systems are often composed of various heterogeneous units. It is an important problem to investigate how this heterogeneity affects the network dynamics, namely synchronization phenomenon. We study the heterogeneous networks of FitzHugh–Nagumo oscillators with diffusive coupling and present sufficient conditions for synchronization in these networks using the Lyapunov functions and Linear Matrix Inequalities (LMIs). Starting consideration with the case of two coupled systems further we extend the results to the networks with greater number of nodes. Numerical examples are presented to illustrate the obtained results.

AB - Biological systems are often composed of various heterogeneous units. It is an important problem to investigate how this heterogeneity affects the network dynamics, namely synchronization phenomenon. We study the heterogeneous networks of FitzHugh–Nagumo oscillators with diffusive coupling and present sufficient conditions for synchronization in these networks using the Lyapunov functions and Linear Matrix Inequalities (LMIs). Starting consideration with the case of two coupled systems further we extend the results to the networks with greater number of nodes. Numerical examples are presented to illustrate the obtained results.

KW - Lyapunov function

KW - Neural networks

KW - Nonlinear systems

KW - Oscillators

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=85062242057&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2019.02.006

DO - 10.1016/j.chaos.2019.02.006

M3 - Article

AN - SCOPUS:85062242057

VL - 121

SP - 85

EP - 91

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

ER -