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

Yasumasa SUJAKU  Takahiro YAMADA  Tosiro KOGA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E79-A   No.11   pp.1851-1852
Publication Date: 1996/11/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section of Letters Selected from the 1996 IEICE General Conference)
Category: 
Keyword: 
two-stroke oscillation,  limit cycle,  numerical analysis,  

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Summary: 
A type of Lienard's equation f(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.