Systematic description of imperfect bifurcation behavior of symmetric systems (Q1302080)

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scientific article; zbMATH DE number 1335015
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English
Systematic description of imperfect bifurcation behavior of symmetric systems
scientific article; zbMATH DE number 1335015

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    Systematic description of imperfect bifurcation behavior of symmetric systems (English)
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    26 September 2000
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    The paper treats two fundamental problems: 1. Can we construct the response curve for a perfect system from a single or from a number of experimental curves? 2. Can we explain experimental curves by using imperfect bifurcation phenomena? By combining asymptotic laws and the stochastic theory of imperfection sensitivity, the authors present a systematic procedure to derive bifurcation equation. Numerical examples and experimental examples illustrate the theory.
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    symmetric bifurcation
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    response curve
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    perfect system
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    experimental curves
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    imperfect bifurcation phenomena
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    asymptotic laws
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    stochastic theory of imperfection sensitivity
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    bifurcation equation
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