On integrating vectors and multiple scales for singularly perturbed ordinary differential equations (Q5945652)

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scientific article; zbMATH DE number 1657342
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On integrating vectors and multiple scales for singularly perturbed ordinary differential equations
scientific article; zbMATH DE number 1657342

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    On integrating vectors and multiple scales for singularly perturbed ordinary differential equations (English)
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    23 June 2002
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    The author shows that the perturbation method based on integrating vector and multiple scales can be applied to IVPs for systems of singularly perturbed ODEs. He also uses heuristic shift-scaling transformations to obtain the significant scales and gauges.
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    integrating factor
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    integrating vector
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    first integral
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    perturbation method
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    singular perturbation
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    asymptotic approximation of first integral
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    multiple scales
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    time scales
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