Pattern Recognition in a Ring of Delayed Phase Oscillators

TL;DR

This paper demonstrates that a ring of delay-coupled phase oscillators can function as a pattern recognition system by encoding patterns as stable periodic orbits, supported by theoretical analysis and practical recognition results.

Contribution

It introduces a novel oscillator-based pattern recognition model with detailed dynamical analysis and successful application to artificial and speech pattern recognition.

Findings

Multiple stable periodic solutions identified

System stability proven through bifurcation analysis

Successful recognition of artificial and speech patterns

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.