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arXiv · 2203.01663

Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data

Norihisa Namura·Shohei Takata·Katsunori Yamaguchi·Ryota Kobayashi·Hiroya Nakao
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Abstract

We propose a method for estimating the asymptotic phase and amplitude functions of limit-cycle oscillators using observed time series data without prior knowledge of their dynamical equations. The estimation is performed by polynomial regression and can be solved as a convex optimization problem. The validity of the proposed method is numerically illustrated by using two-dimensional limit-cycle oscillators as examples. As an application, we demonstrate data-driven fast entrainment with amplitude suppression using the optimal periodic input derived from the estimated phase and amplitude functions.

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Norihisa Namura, Shohei Takata, Katsunori Yamaguchi, Ryota Kobayashi, Hiroya Nakao. 2022-03-03. Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data. https://doi.org/10.1103/physreve.106.014204

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