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Zbl 1078.34509
Liu, Hong-Mei
Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method. (English)
[J] Chaos Solitons Fractals 23, No. 2, 577-579 (2005). ISSN 0960-0779

The author considers a modified Lindstedt-Poincaré method for the study of a Cauchy problem for a nonlinear oscillator with jumping discontinuities. The main idea of the method is the introduction of an artificial small parameter in the equation which allows asymptotic expansions of the solution and of the frequency. At least for the presented problem, the high efficiency of the method is shown.
[Mariano Rodriguez Ricard (La Habana)]
MSC 2000:
*34A36 Discontinuous equations
34E05 Asymptotic expansions (ODE)
34A12 Initial value problems for ODE
34C15 Nonlinear oscillations of solutions of ODE

Keywords: nonlinear oscillators; Lindstedt-Poincaré method

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