Synchronization Phenomena in RC Oscillators Coupled by One Resistor

Seiichiro MORO; Yoshifumi NISHIO; Shinsaku MORI

Synchronization Phenomena in RC Oscillators Coupled by One Resistor

Seiichiro MORO, Yoshifumi NISHIO, Shinsaku MORI

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In this study, we propose a system of N Wien-bridge oscillators with the same natural frequency coupled by one resistor, and investigate synchronization phenomena in the proposed system. Because the structure of the system is different from that of LC oscillators systems proposed in our previous works, this system cannot exhibit N-phase oscillations but 3-phase and in-phase oscillations. Also in this system, we can get an extremely large number of steady phase states by changing the initial states. In particular, when N is not so large, we can get more phase states in this system than that of the LC oscillators systems. Because this system does not include any inductors and is strong against phase error this system is much more suitable for applications on VLSI compared with coupled system of van der Pol type LC oscillators.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E78-A No.10 pp.1435-1439

Publication Date: 1995/10/25

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Type of Manuscript: LETTER

Category: Neural Networks

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Seiichiro MORO, Yoshifumi NISHIO, Shinsaku MORI, "Synchronization Phenomena in RC Oscillators Coupled by One Resistor" in IEICE TRANSACTIONS on Fundamentals, vol. E78-A, no. 10, pp. 1435-1439, October 1995, doi: .
Abstract: In this study, we propose a system of N Wien-bridge oscillators with the same natural frequency coupled by one resistor, and investigate synchronization phenomena in the proposed system. Because the structure of the system is different from that of LC oscillators systems proposed in our previous works, this system cannot exhibit N-phase oscillations but 3-phase and in-phase oscillations. Also in this system, we can get an extremely large number of steady phase states by changing the initial states. In particular, when N is not so large, we can get more phase states in this system than that of the LC oscillators systems. Because this system does not include any inductors and is strong against phase error this system is much more suitable for applications on VLSI compared with coupled system of van der Pol type LC oscillators.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e78-a_10_1435/_p

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@ARTICLE{e78-a_10_1435,
author={Seiichiro MORO, Yoshifumi NISHIO, Shinsaku MORI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Synchronization Phenomena in RC Oscillators Coupled by One Resistor},
year={1995},
volume={E78-A},
number={10},
pages={1435-1439},
abstract={In this study, we propose a system of N Wien-bridge oscillators with the same natural frequency coupled by one resistor, and investigate synchronization phenomena in the proposed system. Because the structure of the system is different from that of LC oscillators systems proposed in our previous works, this system cannot exhibit N-phase oscillations but 3-phase and in-phase oscillations. Also in this system, we can get an extremely large number of steady phase states by changing the initial states. In particular, when N is not so large, we can get more phase states in this system than that of the LC oscillators systems. Because this system does not include any inductors and is strong against phase error this system is much more suitable for applications on VLSI compared with coupled system of van der Pol type LC oscillators.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Synchronization Phenomena in RC Oscillators Coupled by One Resistor
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1435
EP - 1439
AU - Seiichiro MORO
AU - Yoshifumi NISHIO
AU - Shinsaku MORI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E78-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1995
AB - In this study, we propose a system of N Wien-bridge oscillators with the same natural frequency coupled by one resistor, and investigate synchronization phenomena in the proposed system. Because the structure of the system is different from that of LC oscillators systems proposed in our previous works, this system cannot exhibit N-phase oscillations but 3-phase and in-phase oscillations. Also in this system, we can get an extremely large number of steady phase states by changing the initial states. In particular, when N is not so large, we can get more phase states in this system than that of the LC oscillators systems. Because this system does not include any inductors and is strong against phase error this system is much more suitable for applications on VLSI compared with coupled system of van der Pol type LC oscillators.
ER -