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Mechanism for explosive synchronization of neural networks
B R R Boaretto1, R C Budzinski1, T L Prado1
1Departamento de Física, Universidade Federal do Paraná, 81531-980, Curitiba, Paraná, Brazil.
Physical Review. E
|December 25, 2019
Summary
Explosive synchronization (ES) in complex neural networks with nonidentical neurons occurs due to a bistable regime. Small changes in coupling can trigger abrupt transitions between chaotic and synchronized states.
Area of Science:
- Neuroscience
- Complex Systems
- Network Science
Background:
- Complex neural networks exhibit diverse synchronization behaviors.
- Understanding the mechanisms of abrupt transitions in neural activity is crucial.
Purpose of the Study:
- To investigate the mechanism of explosive synchronization (ES) in complex neural networks.
- To identify the conditions leading to abrupt phase synchronization transitions.
Main Methods:
- Utilized Newman-Watts small-world matrices for network coupling.
- Analyzed networks of nonidentical neurons.
- Investigated phase space dynamics and bifurcations.
Main Results:
- Identified a range of nonlocal connection probabilities for ES.
- Discovered a bistable regime (chaotic non-synchronized vs. phase-synchronized states).
- Observed ES onset via saddle-node bifurcation and hysteresis loops.
Conclusions:
- ES in these networks is driven by a bistable regime and saddle-node bifurcations.
- Hysteresis loops and frontier crises define the limits of ES.
- Network structure and neuron properties significantly influence synchronization dynamics.
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