Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A4L-B
Session:
Number:A4L-B-1
Control of Avoidance for Chaos by Using Downhill Simplex Method
Kohsuke Yamato, Akihiro Kawabata, Mio Kobayashi, Tetsuya Yoshinaga,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
In this study, simple nonlinear dynamical systems are made robust against undesirable bifurcation and unstable states using a downhill simplex method, which is widely used in the optimization problem. The proposed method is based on the concept of robust bifurcation analysis; namely, a stability index defined for each parameter value is updated so as to optimize the index. The optimization method is verified through numerical experiments. The presented results can be generalized for driving a system to avoid chaos.