Development of accurate solutions for a classical oscillator

Details Development of accurate solutions for a classical oscillator Development of accurate solutions for a classical oscillator

2006-06-12

arxiv.org/abs/math-ph/0606034v1

Journal of Sound and Vibration 300 (2007) 345-351

Physics

Mathematical Physics

11 pages, 2 figures

Scientific paper

We present a method to obtain arbitrarily accurate solutions for conservative
classical oscillators. The method that we propose here works both for small and
large nonlinearities and provides simple analytical approximations. A
comparison with the standard Lindstedt-Poincar\'e method is presented, from
which the advantages of our method are clear.

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