| Presentation | 1997/10/6 A new analysis method of stochastic bifurcations in a one-dimensional mapping with noise Junko Inoue, Shinji Doi, Sadatoshi Kumagai, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A One-dimensional (1D) map with chaotic dynamics or noisy 1D map can be studied in terms of the invariant density of the Frobenius-Perron (FP) operator of the map. The invariant density or the eigenfunction of the eigenvalue 1 possesses an 'static' information of the noisy one-dimensional dynamics while the other eigenvalues and eigenfunctions have a 'dynamic' information. By demonstrating the spectral analysis of the FP operator of a noisy sine-circle map, we propose a new method to detect the bifurcation point of 1D mapping even in the presence of noise in terms of the spectra of the FP operator. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Stochastic Bifurcation / sine-circle Map / Spectral Analysis / Markov Operator / Frobenius-Perron Operator |
| Paper # | NLP97-85-98 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1997/10/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A new analysis method of stochastic bifurcations in a one-dimensional mapping with noise |
| Sub Title (in English) | |
| Keyword(1) | Stochastic Bifurcation |
| Keyword(2) | sine-circle Map |
| Keyword(3) | Spectral Analysis |
| Keyword(4) | Markov Operator |
| Keyword(5) | Frobenius-Perron Operator |
| 1st Author's Name | Junko Inoue |
| 1st Author's Affiliation | Department of Computer and Business, Koka Women's College() |
| 2nd Author's Name | Shinji Doi |
| 2nd Author's Affiliation | Department of Electrical Engineering, Faculty of Engineering, Osaka University |
| 3rd Author's Name | Sadatoshi Kumagai |
| 3rd Author's Affiliation | Department of Electrical Engineering, Faculty of Engineering, Osaka University |
| Date | 1997/10/6 |
| Paper # | NLP97-85-98 |
| Volume (vol) | vol.97 |
| Number (no) | 300 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |