On the Exponents of Exponential Dichotomies

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 23 Apr 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 651 (eissn: 2227-7390,

Copyright policy )

Authors: Flaviano Battelli; Michal Fečkan;

doi: 10.3390/math8040651

On the Exponents of Exponential Dichotomies

- Summary
- Subjects
- Metrics

Abstract

An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between the corresponding two dichotomy projections. This roughness result is crucial in developing a Melnikov bifurcation method for either discontinuous or implicit perturbed nonlinear differential equations.

Related Organizations

Keywords

exponential dichotomy, QA1-939, asymptotically constant matrices, Mathematics, roughness

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average