Recent results on the stability of time dependent sets and their application to bifurcation problems (Q966209)

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scientific article; zbMATH DE number 5700403
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Recent results on the stability of time dependent sets and their application to bifurcation problems
scientific article; zbMATH DE number 5700403

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    Recent results on the stability of time dependent sets and their application to bifurcation problems (English)
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    23 April 2010
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    This paper contains several results on the relationship between conditional and unconditional stability of time-dependent sets of ordinary differential equations. Here, the unconditional stability properties of an invariant set depend on stability properties of a larger set. This dependence is analyzed first in the general and then in the period case. The results are finally applied to bifurcation problems for periodic differential equations.
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    invariance
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    first integrals
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    stability properties of sets
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    bifurcation
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