Novel Synchronization of Pulse-Coupled Oscillators on Time-Varying Networks
Abstract
In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out while heavily used ones get strengthened. Even small network with all-to-all connected topology can have exotic dynamics under this circumstance. The oscillators can coevolve with the network, and finally form a co-synchronized pair. Or if we only allow a fraction of oscillators to send pulses every time, the oscillators can synchronize with the network remain chaotic.
Keywords
Cite
@article{arxiv.1401.1164,
title = {Novel Synchronization of Pulse-Coupled Oscillators on Time-Varying Networks},
author = {Yuanzhao Zhang},
journal= {arXiv preprint arXiv:1401.1164},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to a crucial lack of mathematical proof about the onset of co-synchronization when the initial topology is globally connected