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Research and Development of High-performance Explosives
Published on: February 20, 2016
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Self-similarity in explosive synchronization of complex networks.
Alexey A Koronovskii1, Maria K Kurovskaya1, Olga I Moskalenko1
1Saratov State University, 83, Astrakhanskaya, 410012, Saratov, Russia.
Physical Review. E
|January 20, 2018
Summary
Explosive synchronization in networked oscillators is linked to self-similar cluster structures. This self-similarity appears during the breakdown of synchrony as coupling strength decreases, revealing consistent patterns across different network sizes.
Area of Science:
- Complex systems
- Network science
- Nonlinear dynamics
Background:
- Networked oscillators can exhibit explosive synchronization, a sudden transition to coherent behavior.
- Understanding the mechanisms behind this abrupt transition is crucial for complex systems analysis.
Purpose of the Study:
- To investigate the relationship between explosive synchronization and self-similarity in networked oscillators.
- To analyze the structural properties of synchronous clusters during the transition to and from coherence.
Main Methods:
- Studied networks of Kuramoto oscillators with varying link topologies.
- Investigated the backward transition from synchrony by decreasing coupling strength.
- Analyzed the size and phase distribution of synchronous clusters.
Main Results:
- Explosive synchronization is associated with self-similar structures of synchronous clusters.
- Self-similarity was observed during the gradual destruction of the synchronous state.
- The phase distribution within synchronized clusters remained invariant with cluster size at the critical point.
Conclusions:
- Self-similarity is a key characteristic underlying explosive synchronization in networked oscillators.
- The findings provide insights into the dynamics of coherence transitions in complex networks.
- This work highlights the importance of cluster structure in understanding synchronization phenomena.
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