| Presentation | 1996/5/24 Numerical computation of attractors for the simplified magnetic Benard system using spectral collocation methods Hitoshi IMAI, Masaaki NAKAMURA, Naoyuki ISHIMURA, Yoshitane SHINOHAHA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The simplified magnetic Benard system (SMB) is a minimal extension of the Lorenz system (L). (SMB) contains a parameter Q associated with the magnetic field and as Q→0 (SMB) is reduced to (L). In the previous work we showed that numerically there is no continuity in the dimension of the attractors as Q→0. Numerical computaions were carried out in the double precision arithmetic using the 4th oder Runge-Kutta method. In the paper they are carried out in the quadruple arithmetic using the spectral collocation methods. The same numerical results are obtained. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | attractor / fractal dimension / spectral collocation method |
| Paper # | NLP96-2 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1996/5/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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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) | Numerical computation of attractors for the simplified magnetic Benard system using spectral collocation methods |
| Sub Title (in English) | |
| Keyword(1) | attractor |
| Keyword(2) | fractal dimension |
| Keyword(3) | spectral collocation method |
| 1st Author's Name | Hitoshi IMAI |
| 1st Author's Affiliation | University of Tokushima() |
| 2nd Author's Name | Masaaki NAKAMURA |
| 2nd Author's Affiliation | Nihon University |
| 3rd Author's Name | Naoyuki ISHIMURA |
| 3rd Author's Affiliation | Hitotsubashi University |
| 4th Author's Name | Yoshitane SHINOHAHA |
| 4th Author's Affiliation | University of Tokushima |
| Date | 1996/5/24 |
| Paper # | NLP96-2 |
| Volume (vol) | vol.96 |
| Number (no) | 72 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |