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arXiv · 1505.01580

Synchronization in an evolving network

R. K. Singh·Trilochan Bagarti
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Abstract

In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold connection density is reached. This cumulative effect of topology and dynamics has many real-world implications, where synchronization in a system emerges as a collective property of its components in a self-organizing manner. The synchronous state remains stable as long as the connection density remains above the threshold value, with additional links providing resilience against network fluctuations.

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R. K. Singh, Trilochan Bagarti. 2015-05-07. Synchronization in an evolving network. https://doi.org/10.1209/0295-5075/111/50010

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