Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method (Q1771640)
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scientific article; zbMATH DE number 2158515
| Language | Label | Description | Also known as |
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| English | Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method |
scientific article; zbMATH DE number 2158515 |
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Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method (English)
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18 April 2005
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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.
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nonlinear oscillators
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Lindstedt-Poincaré method
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