Pattern Recognition in a Ring of Delayed Phase Oscillators

2014/08/20 by Jan Philipp Pade, Pade, Jan Philipp, Serhiy Yanchuk +3
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #34K13 #34K18 #68T10 #93C23 #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #math.DS #msc:34K13 #msc:34K18 #msc:68T10 #msc:93C23 #nlin.CD

paper · pdf · doi:10.48550/arxiv.1408.4666

openalex publication_date 2014/08/20 · arxiv created 2014/08/25 · arxiv updated 2014/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Stability of phase locking in a ring of unidirectionally coupled oscillators

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