Affine invariant conditions for the topological distinction of quadratic systems with a critical point of the multiplicity 4 (Q677846)

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scientific article; zbMATH DE number 999993
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Affine invariant conditions for the topological distinction of quadratic systems with a critical point of the multiplicity 4
scientific article; zbMATH DE number 999993

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    Affine invariant conditions for the topological distinction of quadratic systems with a critical point of the multiplicity 4 (English)
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    12 October 1997
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    The authors get an affine invariant partition of the set of quadratic systems with one finite singular point of multiplicity 4. The conditions corresponding to this partition are expressed as equalities or inequalities between polynomials of the coefficients of the system. Six different topological global phase-portraits are obtained.
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    critical point
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    affine invariant partition
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    quadratic systems
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    finite singular point
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