高严格多重谱区间的非自治折叠分岔

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-06-01 DOI:10.2478/tmmp-2023-0018

C. Pötzsche

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引用次数: 0

摘要

摘要给出了非自治差分方程有界全解或同斜解依赖于单个实参数的分叉的两个充分判据。我们的分析基于一个非双曲解，它的变分方程在半轴上具有指数二分类，保证了二分类谱对应的临界谱区间具有严格的多重性> 1。这扩展了先前关于折叠分岔的结果。

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Nonautonomous Fold Bifurcations from Spectral Intervals of Higher Strict Multiplicity

Abstract 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.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量