Presentation | 1998/2/6 Transition between attractors of Duffing oscillator system excited by plural external inputs Arata Okuyama, Kazutoshi Gohara, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | In order to analyze nonautonomous dynamical systems excited by external time varying inputs, we define the input as a set of temporal patterns. The system is characterized by the trajectry of transient states among excited attractors. If Poincare map is contraction, the trajectory converges to an invariant set with fractal structure. We named it fractal transition. This paper experimentally verifies the fractal transition with non-contraction Poincare map of Duffing equation. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Excited Attractor / Poincare Section / IFS / Fractal Transition / Duffing Equation / Non-contraction Map |
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Committee | NLP |
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Conference Date | 1998/2/6(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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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) | Transition between attractors of Duffing oscillator system excited by plural external inputs |
Sub Title (in English) | |
Keyword(1) | Excited Attractor |
Keyword(2) | Poincare Section |
Keyword(3) | IFS |
Keyword(4) | Fractal Transition |
Keyword(5) | Duffing Equation |
Keyword(6) | Non-contraction Map |
1st Author's Name | Arata Okuyama |
1st Author's Affiliation | Graduate school of Engineering, Hokkaido University() |
2nd Author's Name | Kazutoshi Gohara |
2nd Author's Affiliation | Graduate school of Engineering, Hokkaido University |
Date | 1998/2/6 |
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Volume (vol) | vol.97 |
Number (no) | 531 |
Page | pp.pp.- |
#Pages | 8 |
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