Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:A4L-E
Session:
Number:A4L-E-01
Predicting a Parameter Value at Which a Critical Transition Occurs from Lyapunov Exponents in an Estimated Parameter Space
Yoshitaka Itoh,
pp.143-146
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
This study estimates a parameter space only from two time-series data sets in order to predict a critical transition caused by saddle-node bifurcation. We confirm that the Lyapunov exponents can be approximated in the estimated parameter space and corresponded to the bifurcation diagram. In numerical experiments, we estimate a parameter space for coupled dynamics of water and vegetation.