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Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity
by
Pötzsche, Christian
2023
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Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity
by
Pötzsche, Christian
2023
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Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity
Journal Article
Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity
2023
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Overview
We provide two sufficient criteria for the bifurcation of bounded entire or homoclinic solutions to nonautonomous difference equations depending on a single real parameter. Our analysis is based on a nonhyperbolic solution, whose variational equation possesses exponential dichotomies on semiaxes ensuring that the corresponding critical spectral interval of the dichotomy spectrum has strict multiplicity > 1. This extends earlier results on the fold bifurcation.
Publisher
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
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