Open AccessSynchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo type with nonlinear coupling
Author(s) -
Van Long Em Phan
Publication year - 2021
Publication title -
can tho university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2815-5602
pISSN - 2615-9422
DOI - 10.22144/ctu.jen.2021.029
Subject(s) - synchronization (alternating current) , coupling (piping) , nonlinear system , node (physics) , type (biology) , coupling strength , diffusion , reaction–diffusion system , computer science , topology (electrical circuits) , control theory (sociology) , mathematics , statistical physics , physics , mathematical analysis , engineering , combinatorics , artificial intelligence , quantum mechanics , mechanical engineering , control (management) , condensed matter physics , ecology , biology
The synchronization in complete network consisting of nodes is studied in this paper. Each node is connected to all other ones by nonlinear coupling and is represented by a reaction-diffusion system of FitzHugh-Nagumo type which can be obtained by simplifying the famous Hodgkin-Huxley model. From this complete network, the sufficient condition on the coupling strength to achieve the synchronization is found. The result shows that the networks with bigger in-degrees of nodes synchronize more easily. The paper also presents the numerical simulations for theoretical result and shows a compromise between the theoretical and numerical results.