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Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity


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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.

eISSN:
1338-9750
Idioma:
Inglés
Calendario de la edición:
3 veces al año
Temas de la revista:
Mathematics, General Mathematics