Presentation | 2006-03-20 On a Relaxation Oscillator Having Triangular Threshold Hisanari HONDA, Satoshi AKATSU, Hiroyuki TORIKAI, Toshimichi SAITO, |
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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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Committee | NLP |
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Conference Date | 2006/3/13(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) | 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 |