What is it about?
We report that the phenomenon of explosive synchronization can be observed in a network when the coupling between nodes is biased by their degrees. Moreover, we observe that there is a transition from explosive (first-order) to classical (second-order) synchronization in a branched acyclic system once a cycle emerges in the system.
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Why is it important?
The mechanism discovered in this paper may represents a potential way with which a neuronal system can naturally control a switching system between states of explosive and classical synchronization such that it can avoid pathological states like epilepsy or chronic pain.
Perspectives
I think this result opens the possibility of studying explosive synchronization is networks from a perspective of a naturally controlling system via the connectivity evolution of the system. This may allow to test this hypothesis experimentally or even verifying it is neuronal (brain) systems through direct or indirect observation.
Ernesto Estrada
Institute of Cross-Disciplinary Physics and Complex Systems
Read the Original
This page is a summary of: Topologically induced suppression of explosive synchronization, Chaos An Interdisciplinary Journal of Nonlinear Science, May 2023, American Institute of Physics,
DOI: 10.1063/5.0142418.
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