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PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC LINDSTEDT–POINCARÉ METHOD

✍ Scribed by S.H. CHEN; X.M. YANG; Y.K. CHEUNG

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
227
Category
Article
ISSN
0022-460X

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✦ Synopsis

The elliptic Lindstedt}PoincareH method is used/employed to study the periodic solutions of quadratic strongly non-linear oscillators of the form xK #c

x# c x" f (x,. xR ), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical Lindstedt}PoincareH method. The generalized Van de Pol equation with f (x, xR )" # x! x is studied in detail. Comparisons are made with the solutions obtained by using the Lindstedt}PoincareH method and Runge}Kutta method to show the e$ciency of the present method.

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