| Presentation | 1999/9/21 Noise-induced acceleration and deceleration effects in the van der Pol relaxation oscillator Yohei Isotani, Shinji Doi, Sadatoshi Kumagai, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Mean periods of the noisy van der Pol oscillator forced by a sinusoidal input are studied in detail. It is shown that noise breaks the phase lockings of the oscillator and accelerates or decelerates the oscillator. The novel definition of stochastic phase lockings using spectra (eigenvalues and eigenfunctions) of a Markov operator which is a natural extention of the deterministic (noise-free) Poincare map is presented and the validity of this definition is verified. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | van der Pol oscillator / relaxation oscillation / Markov operator / stochastic kernel / stochastic phase locking / spectrum |
| Paper # | NLP99-75 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 1999/9/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| 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) | Noise-induced acceleration and deceleration effects in the van der Pol relaxation oscillator |
| Sub Title (in English) | |
| Keyword(1) | van der Pol oscillator |
| Keyword(2) | relaxation oscillation |
| Keyword(3) | Markov operator |
| Keyword(4) | stochastic kernel |
| Keyword(5) | stochastic phase locking |
| Keyword(6) | spectrum |
| 1st Author's Name | Yohei Isotani |
| 1st Author's Affiliation | Department of Electrical Engineering, Graduate School of Engineering, Osaka University() |
| 2nd Author's Name | Shinji Doi |
| 2nd Author's Affiliation | Department of Electrical Engineering, Graduate School of Engineering, Osaka University |
| 3rd Author's Name | Sadatoshi Kumagai |
| 3rd Author's Affiliation | Department of Electrical Engineering, Graduate School of Engineering, Osaka University |
| Date | 1999/9/21 |
| Paper # | NLP99-75 |
| Volume (vol) | vol.99 |
| Number (no) | 323 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |