✦ LIBER ✦

A perturbation-incremental method for the calculation of semi-stable limit cycles of strongly non-linear oscillators

✍ Scribed by Chen, S. H. ;Chan, J. K. H. ;Leung, A. Y. T.

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 130 KB
Volume: 16
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(200005)16:5<301::aid-cnm337>3.0.co;2-#

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✦ Synopsis

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 initial solution for +0 is obtained by using the perturbation method. Secondly, the solution for an arbitrary value of can be determined by using the incremental approach. Two examples are given to show the e$ciency and accuracy of the present method.