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Some remarks on an ODE-solver of Kirchgraber - MaRDI portal

Some remarks on an ODE-solver of Kirchgraber (Q1189636)

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scientific article; zbMATH DE number 57574
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English
Some remarks on an ODE-solver of Kirchgraber
scientific article; zbMATH DE number 57574

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    Some remarks on an ODE-solver of Kirchgraber (English)
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    27 September 1992
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    An efficient modification of \textit{U. Kirchgraber's} integration procedure (LIPS-code) [ibid. 53, No. 6, 621-652 (1988; Zbl 0656.65072)] for long- term integration of \(x'=f(x)+\varepsilon g(x)\) is given. It is supposed that the system \(x'=f(x)\) has periodic solutions only.
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    dynamical systems
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    small parameter
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    Poincaré map
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    large step-size
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    method of averaging
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    long-term integration
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    periodic solutions
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