Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
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.
scientific article; zbMATH DE number 2158515