| Presentation | 2017-07-14 Estimating Lyapunov Exponents for Reconstructed Two-dimensional Bifurcation Diagrams Yoshitaka Itoh, Masaharu Adachi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We describe a method for reconstruction of two-dimensional bifurcation diagrams with Lyapunov exponents from only several time series data sets. By reconstructing the bifurcation diagrams, we estimate the oscillatory patterns when parameters change. To quantitatively evaluate the reconstruction, we have estimated the Lyapunov exponents for the reconstructed one-dimentional bifurcation diagrams. In this paper, we estimate the Lyapunov exponents for the reconstructed two-dimentional bifurcation diagrams. We also present the results of numerical experiments on comparison between the Lyapunov exponents of the original and reconstructed bifurcation diagrams. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | reconstruction of bifurcation diagram / time series predictor / chaos / extreme learning machine |
| Paper # | NLP2017-46 |
| Date of Issue | 2017-07-06 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2017/7/13(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Miyako Island Marine Terminal |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | etc. |
| Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Vice Chair | Norikazu Takahashi(Okayama Univ.) |
| Secretary | Norikazu Takahashi(Nagaoka Univ. of Tech.) |
| Assistant | Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.) |
| Paper Information | |
| Registration To | 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) | Estimating Lyapunov Exponents for Reconstructed Two-dimensional Bifurcation Diagrams |
| Sub Title (in English) | |
| Keyword(1) | reconstruction of bifurcation diagram |
| Keyword(2) | time series predictor |
| Keyword(3) | chaos |
| Keyword(4) | extreme learning machine |
| 1st Author's Name | Yoshitaka Itoh |
| 1st Author's Affiliation | Tokyo Denki University(Tokyo Denki Univ.) |
| 2nd Author's Name | Masaharu Adachi |
| 2nd Author's Affiliation | Tokyo Denki University(Tokyo Denki Univ.) |
| Date | 2017-07-14 |
| Paper # | NLP2017-46 |
| Volume (vol) | vol.117 |
| Number (no) | NLP-121 |
| Page | pp.pp.99-102(NLP), |
| #Pages | 4 |
| Date of Issue | 2017-07-06 (NLP) |