Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:C4L-D
Session:
Number:C4L-D-03
Reservoir Computing with Stability Transformation Method to Detect Unstable Fixed Point of Chaotic Map
Shuma Iinuma , Tadashi Tsubone,
pp.548-551
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
Detecting unstable periodic orbits in chaotic systems based on the time series is a fundamental problem in nonlinear dynamics, but it often becomes extremely challenging one. In this study, we propose a new approach for detecting unstable fixed point using reservoir computing and stability transformation method. We connects reservoir computing, a well-known machine learning technique, and stability transformation method, which can detects unstable periodic orbits in chaotic dynamical systems, to perform unstable fixed point detection in a data-driven and model-free process. In this paper, we use an example of an H?non map to demonstrate detecting unstable fixed point and unstable 2-periodic points.