Sufficient Synchronization Conditions for Resistively and Memristively Coupled Oscillators of FitzHugh-Nagumo-type
We study the synchronization behavior of a class of identical FitzHugh-Nagumo-type oscillators under adaptive coupling. We describe the oscillators by a circuit model and we provide a sufficient synchronization condition that relies on the shape of the nonlinear conductance's $(i,u)$-curve and the connectivity of the adaptive coupling network. The coupling network is allowed to be time-variant, state-dependent and locally adaptive, where we treat memristive coupling elements as a special case. We provide a physical interpretation of synchronization in terms of power dissipation and investigate the sharpness of our condition.
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Christian-Albrechts-Universität zu Kiel
Email Address of Submitting Authorlautenbacher@math.uni-kiel.de
ORCID of Submitting Author0000-0003-1069-9102
Submitting Author's InstitutionChristian-Albrechts-Universität zu Kiel
Submitting Author's Country