Smooth symmetry breaking bifurcation for functional differential equations (Q1198706)

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scientific article; zbMATH DE number 90509
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Smooth symmetry breaking bifurcation for functional differential equations
scientific article; zbMATH DE number 90509

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    Smooth symmetry breaking bifurcation for functional differential equations (English)
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    16 January 1993
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    For the equation \(x'(t)=-\alpha f(x(t-1))\) it is proved that there are \((\sin\)-like) maps \(f\), for which smooth symmetry breaking bifurcation points exist on the primary branch of special symmetric solutions.
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    autonomous retarded equations
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    smooth symmetry breaking bifurcation points
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    symmetric solutions
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