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

Author:

CHEN S.H.,YANG X.M.,CHEUNG Y.K.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference6 articles.

1. An extension to the method of Kryloff and Bogoliuboff;BARKHAN;International Journal of Control,1969

2. “Cubication” of non-linear oscillators using the principle of harmonic balance;BRAVO YUSTE;International Journal of Non-Linear Mechanics,1992

3. An elliptic perturbation method for certain strongly non-linear oscillators;CHEN;Journal of Sound and Vibration,1996

4. Periodic solution of strongly quadratic non-linear oscillators by the elliptic perturbation method;CHEN;Journal of Sound and Vibration,1998

5. An elliptic Lindstedt–Poincaré method for analysis of certain stronlgy non-linear oscillators;CHEN;Nonlinear Dynamics,1997

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