Analysis Method of Unstable Periodic Solutions in Autonomous Nonlinear Circuit Using Haar Wavelet Transform

YAMAMOTO Ryota, TAKAMATSU Kohei, NAKABAYASHI Tatsuya, MORO Seiichiro

doi:10.14923/transfunj.2020jap1028

Bibliographic Information

Other Title

ハールウェーブレット変換を用いた自律系非線形回路における不安定周期解の解析法

Abstract

It has been reported that unstable periodic solution of a dynamical systems make the chaos control easier. But it is hard to find unstable periodic solution because slight errors are magnified when we use conventional time marching methods. Therefore, in this study, we propose the method to find unstable periodic solution of autonomous nonlinear circuits using Haar wavelet transform. In nonautonomous circuit, as the period of periodic solution is known, we apply the boundary condition which describes the stating point and the end point in the period are identical, and then we can obtain the periodic solution. However, in the autonomous circuit, because the period is also unknown, it is not possible to find the periodic solutions in the same manner. Therefore, in this paper, we propose the method to find the unknown variables including the period with the optimization method. We show we can find unstable periodic solutions of autonomous nonlinear circuits using Van der Pol oscillators, Shinriki circuits and Lorentz equations as examples.

Journal

電子電子情報通信学会論文誌A 基礎・境界

電子電子情報通信学会論文誌A 基礎・境界 J104-A (10), 214-222, 2021-10-01

The Institute of Electronics, Information and Communication Engineers

Keywords

Details 詳細情報について

CRID: 1390852514697040128

NII Article ID: 120007164960

DOI: 10.14923/transfunj.2020jap1028

ISSN: 18810195

Text Lang: ja

Data Source

JaLC
CiNii Articles
KAKEN

Abstract License Flag: Disallowed

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