| Paper Abstract and Keywords |
| Presentation |
2006-12-13 16:55
Energy-based analysis of frequency entrainment described by van der Pol and PLL equations
Yoshihiko Susuki, Yuuichi Yokoi, Takashi Hikihara (Kyoto Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
This paper is devoted to an analysis of frequency entrainment described by van der Pol and PLL equations. The frequency entrainment stems from two different types of self-sustained oscillations, and the mechanism of entrainment has not been fully understood. The use of an energy balance relation is proposed in this paper to analyze the frequency entrainment. The energy balance relation is equivalent to the energy conservation law of dynamical systems which contain dissipation and input terms. This paper numerically and theoretically investigates the frequency entrainment via energy balance relation and response curves. They provide characteristic features of dc component, harmonic amplitude, phase difference, and supplied energy by driving oscillatory force. The obtained results show that the frequency entrainment described by the two equations has different features of supplied energy. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
frequency entrainment / energy conservation law / van der Pol equation / PLL equation / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 413, NLP2006-100, pp. 57-62, Dec. 2006. |
| Paper # |
NLP2006-100 |
| Date of Issue |
2006-12-06 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
NLP |
| Conference Date |
2006-12-13 - 2006-12-14 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
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| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
NLP |
| Conference Code |
2006-12-NLP |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Energy-based analysis of frequency entrainment described by van der Pol and PLL equations |
| Sub Title (in English) |
|
| Keyword(1) |
frequency entrainment |
| Keyword(2) |
energy conservation law |
| Keyword(3) |
van der Pol equation |
| Keyword(4) |
PLL equation |
| Keyword(5) |
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| 1st Author's Name |
Yoshihiko Susuki |
| 1st Author's Affiliation |
Kyoto University (Kyoto Univ.) |
| 2nd Author's Name |
Yuuichi Yokoi |
| 2nd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
| 3rd Author's Name |
Takashi Hikihara |
| 3rd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2006-12-13 16:55:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2006-100 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.413 |
| Page |
pp.57-62 |
| #Pages |
6 |
| Date of Issue |
2006-12-06 (NLP) |