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PERIODIC SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE MULTIPLE SCALES METHOD

✍ Scribed by F. LAKRAD; M. BELHAQ

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 339 KB
Volume: 258
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2002.5145

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✦ Synopsis

The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order approximations, of solution as well as modulations of amplitude and phase, are derived. Comparisons to numerical simulations are provided and discussed.

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