The Upper Limit of a Parameter for a Two-Stroke Oscillator to Have a Stable Limit Cycle

Yasumasa SUJAKU; Takahiro YAMADA; Tosiro KOGA

The Upper Limit of a Parameter for a Two-Stroke Oscillator to Have a Stable Limit Cycle

Yasumasa SUJAKU, Takahiro YAMADA, Tosiro KOGA

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A type of Lienard's equation +µf(x)+x=0, where f(x) is not an even function of x, is studied by Le Corbeiller as a model of various biological oscillations, such as breathing, and called two-stroke oscillators. A distinctive feature of this type of oscillators is that the parameter µ has the upper limit µ₀ for the oscillator to have some stable limit cycle. This paper gives a numerical method for calculating this upper limit µ₀.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.11 pp.1851-1852

Publication Date: 1996/11/25

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Type of Manuscript: Special Section LETTER (Special Section of Letters Selected from the 1996 IEICE General Conference)

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Yasumasa SUJAKU, Takahiro YAMADA, Tosiro KOGA, "The Upper Limit of a Parameter for a Two-Stroke Oscillator to Have a Stable Limit Cycle" in IEICE TRANSACTIONS on Fundamentals, vol. E79-A, no. 11, pp. 1851-1852, November 1996, doi: .
Abstract: A type of Lienard's equation +µf(x)+x=0, where f(x) is not an even function of x, is studied by Le Corbeiller as a model of various biological oscillations, such as breathing, and called two-stroke oscillators. A distinctive feature of this type of oscillators is that the parameter µ has the upper limit µ₀ for the oscillator to have some stable limit cycle. This paper gives a numerical method for calculating this upper limit µ₀.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_11_1851/_p

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@ARTICLE{e79-a_11_1851,
author={Yasumasa SUJAKU, Takahiro YAMADA, Tosiro KOGA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Upper Limit of a Parameter for a Two-Stroke Oscillator to Have a Stable Limit Cycle},
year={1996},
volume={E79-A},
number={11},
pages={1851-1852},
abstract={A type of Lienard's equation +µf(x)+x=0, where f(x) is not an even function of x, is studied by Le Corbeiller as a model of various biological oscillations, such as breathing, and called two-stroke oscillators. A distinctive feature of this type of oscillators is that the parameter µ has the upper limit µ₀ for the oscillator to have some stable limit cycle. This paper gives a numerical method for calculating this upper limit µ₀.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - The Upper Limit of a Parameter for a Two-Stroke Oscillator to Have a Stable Limit Cycle
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1851
EP - 1852
AU - Yasumasa SUJAKU
AU - Takahiro YAMADA
AU - Tosiro KOGA
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1996
AB - A type of Lienard's equation +µf(x)+x=0, where f(x) is not an even function of x, is studied by Le Corbeiller as a model of various biological oscillations, such as breathing, and called two-stroke oscillators. A distinctive feature of this type of oscillators is that the parameter µ has the upper limit µ₀ for the oscillator to have some stable limit cycle. This paper gives a numerical method for calculating this upper limit µ₀.
ER -