Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:4-3-2
Session:
Number:4-3-2-2
Reconstruction of Chaos Attractor with DT-CNN
Masatomo Inoue, Yuta Watanabe, Tatsuro Shimada, Masayuki Yamauchi, Mamoru Tanaka,
pp.7-10
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
We propose reconstruction of chaos attractor by Discrete Time Cellular Neural Network (DT-CNN). The feedback A-matrix can be obtained in form of a tri-diagonal matrix by using House Holder Transformation for an algebra equation constructed from observed time sequences. Since the A-matrix can be changed to satisfy the diagonal dominant based on the use of virtual capacitors, the Gauss Seidel Method (Linear DT-CNN) can be used to solve the equation. As a simulation, we reconstruct the chaos attractor of Chua’s circuit. The attractor which is reconstructed from the observal time sequence based on our method is almost same as that of attractor derived from the Chua’s differential equation.