Phase autoencoder for limit-cycle oscillators

arXiv:2403.06992v1 Announce Type: cross
Abstract: We present a phase autoencoder that encodes the asymptotic phase of a limit-cycle oscillator, a fundamental quantity characterizing its synchronization dynamics. This autoencoder is trained in such a way that its latent variables directly represent the asymptotic phase of the oscillator. The trained autoencoder can perform two functions without relying on the mathematical model of the oscillator: first, it can evaluate the asymptotic phase and phase sensitivity function of the oscillator; second, it can reconstruct …

abstract arxiv autoencoder cs.lg dynamics functions nlin.ao nlin.cd synchronization type variables