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Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces - MaRDI portal

Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces (Q2919576)

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scientific article; zbMATH DE number 6090198
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English
Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces
scientific article; zbMATH DE number 6090198

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    4 October 2012
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    nonstationary bifurcation
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    Lyapounov-Schmidt method
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    stability
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    Stability of bifurcating periodical solutions at Poincaré-Androov-Hopf bifurcation for singular differential equations in Banach spaces (English)
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    In this paper, the technique of branching equations in the root subspaces and linear resolving systems is applied to the problem of periodical bifurcating solutions stability at a nonstationary bifurcation for singular differential equations in Banach spaces.
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