Topologically-induced suppression of explosive synchronization

Miranda, Manuel; Frasca, Mattia; Estrada, Ernesto
Submitted (2023)

Here we report how explosive synchronization can be topologically
regulated in a neuron-like branched tree just by the cycles created
when it is glued (synaptically) to another neuron. The sufficient condition for this topological regulation is that the synchronization
process is controlled by a degree-biased diffusion. Therefore, there
is a transition between explosive synchronization in a branched acyclic
system to normal one once a cycle emerges in the system. This
transition represents a potential mechanism with which a neuronal
system can synchronize explosively individual neurons, and returning
to normal sync when the neuronal network is formed to avoid pathological
states like epilepsy or chronic pain.

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