Pattern Recognition in a Ring of Delayed Phase Oscillators
Dynamical Systems
2014-08-26 v2 Chaotic Dynamics
Abstract
We show that a ring of phase oscillators coupled with transmission delays can be used as a pattern recognition system. The introduced model encodes patterns as stable periodic orbits. We present a detailed analysis of the underlying dynamics. In particular, we show that the system possesses a multitude of periodic solutions, prove stability results and present a bifurcation analysis. Furthermore, we show successful recognition results using artificial patterns and speech recordings.
Cite
@article{arxiv.1408.4666,
title = {Pattern Recognition in a Ring of Delayed Phase Oscillators},
author = {Jan Philipp Pade and Serhiy Yanchuk and Liang Zhao},
journal= {arXiv preprint arXiv:1408.4666},
year = {2014}
}