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Unlike the commonly researched complex network model, where the coupling between nodes is symmetric, here, in our network model, the coupling configuration matrix is not assumed to be symmetric and may have complex eigenvalues.
The study of this type of systems which includes the time delay between connections has attracted much attention among researchers mainly because the delayed coupling between nodes emerges almost naturally in mathematical modeling in many areas of science such as neurobiology, population dynamics, physiology and engineering.
Coupling between nodes is given through a gain function.
An intrinsic property of PCO synchronization is that coupling between nodes effectively shortens period.
The simplified power flow method [24, 25, 26] neglects the quadratic terms of the relation between power and voltage variations, which weakens the coupling between nodes.
In case BSs can communicate directly or UTs are placed close to one another, convergence may be accelerated by allowing coupling between nodes of the same group.
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Equation 4 treats coupling between connected nodes as linear and simply proportional to the difference between the states of the two nodes.
We use features (which are based on Hebbian learning) to determine whether coupling between pairs of nodes are assumed to be the same or not.
The particular setup we consider is two identical rings with excitable FitzHugh Nagumo cell dynamics and nearest-neighbor antiphase intra-ring coupling, electrically coupled between corresponding nodes.
The outputs of the edge dynamic systems form the external inputs of the node dynamic systems, which are termed neighboring inputs representing the coupling actions between nodes.
When delays are introduced, such as propagation delays, the coupling between two nodes and is delayed by.
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