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On the multi-scale analysis of strongly non-linear forced oscillators

✍ Scribed by T.D. Burton; Z. Rahman

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 892 KB
Volume: 21
Category: Article
ISSN: 0020-7462
DOI: 10.1016/0020-7462(86)90026-0

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The elliptic perturbation method is applied to the study of the periodic solutions of strongly quadratic non-linear oscillators of the form x¨+ c1 x + c2 x 2 = ef(x, x˙), in which the Jacobian elliptic functions are employed. The generalized Van der Pol equation with f(x, x˙) = m0 + m1 x -m2 x 2 is

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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].