| Presentation | 2017-01-26 An Analysis Method using Haar Wavelet Transform for Unstable Periodic Solutions of Nonlinear Circuits Kohei Takamatsu, Tatsuya Nakabayashi, Seiichiro Moro, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It has been reported that unstable periodic solution of a dynamical systems make the chaos control easier. But it is difficult to find unstable periodic solution because of a few numerical errors in numerical calculations. Therefore, in this study, we find unstable periodic solution using Haar wavelet transform. Haar wavelet can be easily treated and differential and integral operator matrices are easily derived by using a block pulse function. Therefore it can be adapted to time variable circuit and nonlinear circuit. Furthermore, it can analyze a range of neighborhood of the singular point more precisely. In this paper, we show the method to find unstable periodic solution of the autonomous nonlinear circuit using an oscillator with 5th-power nonlinear order characteristic and prove that it is possible to find unstable periodic solution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Haar Wavelet Transform / Unstable Periodic Solution / Operator Matrices |
| Paper # | NLP2016-100 |
| Date of Issue | 2017-01-19 (NLP) |
| Conference Information | |
| Committee | NC / NLP |
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| Conference Date | 2017/1/26(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kitakyushu Foundation for the Advanement of Ind. Sci. and Tech. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Implementation of Neuro Computing,Analysis and Modeling of Human Science, etc |
| Chair | Shigeo Sato(Tohoku Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masafumi Hagiwara(Keio Univ.) / Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masafumi Hagiwara(Kyoto Sangyo Univ.) / Masaharu Adachi(Tokyo Inst. of Tech.) |
| Assistant | Hisanao Akima(Tohoku Univ.) / Yoshihisa Shinozawa(Keio Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Neurocomputing / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Analysis Method using Haar Wavelet Transform for Unstable Periodic Solutions of Nonlinear Circuits |
| Sub Title (in English) | |
| Keyword(1) | Haar Wavelet Transform |
| Keyword(2) | Unstable Periodic Solution |
| Keyword(3) | Operator Matrices |
| 1st Author's Name | Kohei Takamatsu |
| 1st Author's Affiliation | University of Fukui(Univ. of Fukui) |
| 2nd Author's Name | Tatsuya Nakabayashi |
| 2nd Author's Affiliation | University of Fukui(Univ. of Fukui) |
| 3rd Author's Name | Seiichiro Moro |
| 3rd Author's Affiliation | University of Fukui(Univ. of Fukui) |
| Date | 2017-01-26 |
| Paper # | NLP2016-100 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-423 |
| Page | pp.pp.19-24(NLP), |
| #Pages | 6 |
| Date of Issue | 2017-01-19 (NLP) |