Alternative perturbation approaches in classical mechanics

Details Alternative perturbation approaches in classical mechanics Alternative perturbation approaches in classical mechanics

2004-11-18

arxiv.org/abs/math-ph/0411061v1

European Journal of Physics 26, 1057-1063 (2005)

Physics

Mathematical Physics

10 pages, 1 figure

Scientific paper

10.1088/0143-0807/26/6/013

We discuss two alternative methods, based on the Lindstedt--Poincar\'{e}
technique, for the removal of secular terms from the equations of perturbation
theory. We calculate the period of an anharmonic oscillator by means of both
approaches and show that one of them is more accurate for all values of the
coupling constant.

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