{"title":"Nonuniform contractions and converse stability results via a smooth topological equivalence","authors":"Álvaro Castañeda, Pablo Monzón, G. Robledo","doi":"10.1080/14689367.2022.2163881","DOIUrl":null,"url":null,"abstract":"Given a nonautonomous linear system of ordinary differential equations with nonuniform contractions on the half line, we study the smoothness and preserving orientation properties of a global linearization between this system and a family of nonlinear perturbations. As an application of the previous study, we improve a converse stability result for the nonlinear system in terms of density functions.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"38 1","pages":"179 - 196"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems-An International Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2022.2163881","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Given a nonautonomous linear system of ordinary differential equations with nonuniform contractions on the half line, we study the smoothness and preserving orientation properties of a global linearization between this system and a family of nonlinear perturbations. As an application of the previous study, we improve a converse stability result for the nonlinear system in terms of density functions.
期刊介绍：
Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal:
•Differential equations
•Bifurcation theory
•Hamiltonian and Lagrangian dynamics
•Hyperbolic dynamics
•Ergodic theory
•Topological and smooth dynamics
•Random dynamical systems
•Applications in technology, engineering and natural and life sciences
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