Classical Mechanics (Kibble & Berkshire) · Problem 8.15

The energy principle — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · lindstedt-method-computer-assisted

Problem

Lindstedt's method Use computer assistance to implement Lindstedt's method for the equation x¨+x+ϵx3=0.\ddot{x} + x + \epsilon x^3 = 0. Obtain a three-term approximation to the oscillation frequency when the oscillation has unit amplitude. Find also the corresponding three-term approximation to x(t)x(t).

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