Research output: Contribution to journal › Article › peer-review
On synchronization in heterogeneous FitzHugh–Nagumo networks. / Plotnikov, Sergei A.; Fradkov, Alexander L.
In: Chaos, Solitons and Fractals, Vol. 121, 04.2019, p. 85-91.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 76026433