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COMMENTS ON “A PERTURBATION-ITERATIVE METHOD FOR DETERMINING LIMIT CYCLES OF STRONGLY NON-LINEAR OSCILLATORS”

✍ Scribed by Dai Decheng

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 125 KB
Volume: 200
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0729

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✦ Synopsis

The new idea of calculation of limit cycles of strongly non-linear systems and its several numerical examples were presented in [1]. It is interesting to study the calculation of limit cycles of non-linear systems further, however some defects have been found in [1].

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The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form xK #g(x)" f (x, xR , )xR is studied by the perturbation-incremental method. Firstly, the ordinary di!erential equation is transformed into an integral equation by a non-linear time transformation, then the ini