| Presentation | 1995/10/19 A Numerical Method of Proving the Existence of Connecting Orbits for Continuous Dynamical Systems Shinichi OISHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Although the problem of proving the existence of connecting orbits for nonlinear ordinary differential equations is one of the most fundamental ones in chaos theory, this problem is very diffcult one. Thus there may be very few examples of continuous dynamical systems of interest for which the existence of connecting orbits is mathematically proved. In this paper, a numerical method is presented for proving the existence of connecting orbits of continuous dynamical systems described by parameterized ordinary differential equations. This method is applicable at least in principle for a wide range of systems. As an example, taking a certain second order nonlinear differential equation the existence of homoclinic bifurcation point is proved by the method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | numerical calculation with guranteed accuracy / cmputer assisted proof / connecting orbits |
| Paper # | NLP95-53 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1995/10/19(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 Numerical Method of Proving the Existence of Connecting Orbits for Continuous Dynamical Systems |
| Sub Title (in English) | |
| Keyword(1) | numerical calculation with guranteed accuracy |
| Keyword(2) | cmputer assisted proof |
| Keyword(3) | connecting orbits |
| 1st Author's Name | Shinichi OISHI |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| Date | 1995/10/19 |
| Paper # | NLP95-53 |
| Volume (vol) | vol.95 |
| Number (no) | 296 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |