Orbital and Parametric normal forms for families of Hopf-zero singularity (Q6608802)

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scientific article; zbMATH DE number 7916682
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Orbital and Parametric normal forms for families of Hopf-zero singularity
scientific article; zbMATH DE number 7916682

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    Orbital and Parametric normal forms for families of Hopf-zero singularity (English)
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    20 September 2024
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    The work concerns the normal forms of the vector fields' Hopf-zero singularities in \(R^3\) under the non-degenerated condition to the second-order terms in the `zero' part. Together with the previous work, this well illustrates the simplest truncated orbital and parametric normal forms by the grading functional method. It does great help to the further consideration of bifurcations.
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    orbital normal form
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    parametric normal form
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    universal unfolding normal form
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    Hopf zero singularity
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