| Presentation | 2006-03-20 On a Relaxation Oscillator Having Triangular Threshold Hisanari HONDA, Satoshi AKATSU, Hiroyuki TORIKAI, Toshimichi SAITO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper studies dynamics of a relaxation oscillator whose hysteresis thresholds are controlled by a triangular signal. The oscillator relates to delta modulator for PWM control. In order to analyze the circuit dynamics we derive dimensionless equation characterized by two essential parameters and one-dimensional piecewise linear return map described explicitly. The map is equivalent to the circle map in wide parameter region and exhibits various periodic/nonperiodic behavior. Basic bifurcation phenomena are investigated in a subspace of the two parameters. A simple test circuit is fabricated and typical phenomena are confirmed experimentally. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Switched dynamical systems / Pulse-width modulation (PWM) / Delta modulators / Circle map / Bifurcation |
| Paper # | NLP2005-138 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/3/13(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| 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) | On a Relaxation Oscillator Having Triangular Threshold |
| Sub Title (in English) | |
| Keyword(1) | Switched dynamical systems |
| Keyword(2) | Pulse-width modulation (PWM) |
| Keyword(3) | Delta modulators |
| Keyword(4) | Circle map |
| Keyword(5) | Bifurcation |
| 1st Author's Name | Hisanari HONDA |
| 1st Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University() |
| 2nd Author's Name | Satoshi AKATSU |
| 2nd Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University |
| 3rd Author's Name | Hiroyuki TORIKAI |
| 3rd Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University |
| 4th Author's Name | Toshimichi SAITO |
| 4th Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University |
| Date | 2006-03-20 |
| Paper # | NLP2005-138 |
| Volume (vol) | vol.105 |
| Number (no) | 675 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |