Rotation Map with a Controlling Segment: Basic Analysis and Application to A/D Converters
Summary :
This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation is confirmed experimentally.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.7 pp.1725-1732
- Publication Date
- 2008/07/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.7.1725
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Keyword
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Yusuke MATSUOKA, Toshimichi SAITO, "Rotation Map with a Controlling Segment: Basic Analysis and Application to A/D Converters" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 7, pp. 1725-1732, July 2008, doi: 10.1093/ietfec/e91-a.7.1725.
Abstract: This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation is confirmed experimentally.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.7.1725/_p
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@ARTICLE{e91-a_7_1725,
author={Yusuke MATSUOKA, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Rotation Map with a Controlling Segment: Basic Analysis and Application to A/D Converters},
year={2008},
volume={E91-A},
number={7},
pages={1725-1732},
abstract={This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation is confirmed experimentally.},
keywords={},
doi={10.1093/ietfec/e91-a.7.1725},
ISSN={1745-1337},
month={July},}
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TY - JOUR
TI - Rotation Map with a Controlling Segment: Basic Analysis and Application to A/D Converters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1725
EP - 1732
AU - Yusuke MATSUOKA
AU - Toshimichi SAITO
PY - 2008
DO - 10.1093/ietfec/e91-a.7.1725
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2008
AB - This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation is confirmed experimentally.
ER -
English
