Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor <cd0215d.gif>Asynchronous Oscillations by Self-Modulation Effect <cd0215d.gif>

Hiroyuki KANASUGI; Seiichiro MORO; Shinsaku MORI

Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor Asynchronous Oscillations by Self-Modulation Effect

Hiroyuki KANASUGI, Seiichiro MORO, Shinsaku MORI

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In this study, we investigate two oscillators which have the same natural frequency, mutually coupled by N-type piecewise-linear negative resistor. In this system, according to the negative range of the coupling negative resistor, the various inter-esting synchronization phenomena which are in-phase, opposite phase and doublemode-like oscillations are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillators with the smooth cubic characteristics, although the ones with same natural frequencies are coupled. And we show the differences of the phenomena between two oscillators coupled by the smooth cubic negative resistor and the ones coupled by the piecewise-linear negative resistor.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.10 pp.1551-1562

Publication Date: 1996/10/25

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Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications (NOLTA))

Category: Nonlinear Circuits and Bifurcation

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Hiroyuki KANASUGI, Seiichiro MORO, Shinsaku MORI, "Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor Asynchronous Oscillations by Self-Modulation Effect " in IEICE TRANSACTIONS on Fundamentals, vol. E79-A, no. 10, pp. 1551-1562, October 1996, doi: .
Abstract: In this study, we investigate two oscillators which have the same natural frequency, mutually coupled by N-type piecewise-linear negative resistor. In this system, according to the negative range of the coupling negative resistor, the various inter-esting synchronization phenomena which are in-phase, opposite phase and doublemode-like oscillations are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillators with the smooth cubic characteristics, although the ones with same natural frequencies are coupled. And we show the differences of the phenomena between two oscillators coupled by the smooth cubic negative resistor and the ones coupled by the piecewise-linear negative resistor.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_10_1551/_p

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@ARTICLE{e79-a_10_1551,
author={Hiroyuki KANASUGI, Seiichiro MORO, Shinsaku MORI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor Asynchronous Oscillations by Self-Modulation Effect },
year={1996},
volume={E79-A},
number={10},
pages={1551-1562},
abstract={In this study, we investigate two oscillators which have the same natural frequency, mutually coupled by N-type piecewise-linear negative resistor. In this system, according to the negative range of the coupling negative resistor, the various inter-esting synchronization phenomena which are in-phase, opposite phase and doublemode-like oscillations are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillators with the smooth cubic characteristics, although the ones with same natural frequencies are coupled. And we show the differences of the phenomena between two oscillators coupled by the smooth cubic negative resistor and the ones coupled by the piecewise-linear negative resistor.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor Asynchronous Oscillations by Self-Modulation Effect
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1551
EP - 1562
AU - Hiroyuki KANASUGI
AU - Seiichiro MORO
AU - Shinsaku MORI
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1996
AB - In this study, we investigate two oscillators which have the same natural frequency, mutually coupled by N-type piecewise-linear negative resistor. In this system, according to the negative range of the coupling negative resistor, the various inter-esting synchronization phenomena which are in-phase, opposite phase and doublemode-like oscillations are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillators with the smooth cubic characteristics, although the ones with same natural frequencies are coupled. And we show the differences of the phenomena between two oscillators coupled by the smooth cubic negative resistor and the ones coupled by the piecewise-linear negative resistor.
ER -