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The activation method for discretized conservative nonlinear stability problems with multiple parameter and state variables - MaRDI portal

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The activation method for discretized conservative nonlinear stability problems with multiple parameter and state variables (Q1310544)

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scientific article; zbMATH DE number 482189
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English
The activation method for discretized conservative nonlinear stability problems with multiple parameter and state variables
scientific article; zbMATH DE number 482189

    Statements

    The activation method for discretized conservative nonlinear stability problems with multiple parameter and state variables (English)
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    11 October 1994
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    The activation method is proposed to study stability of a conservative, finite degree of freedom mechanical systems. It is an improvement and enhancement of the Lyapunov-Schmidt reduction method. Mixed coordinates and composite parameters are defined, so that the derivation of the bifurcation equation becomes easier. It is claimed that the proposed method has advantages in connecting the bifurcation equation with the results from catastrophe theory.
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    mixed coordinates
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    Lyapunov-Schmidt reduction method
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    bifurcation equation
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