{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T19:42:43Z","timestamp":1764963763270,"version":"3.46.0"},"reference-count":7,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011,5,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    For nonautonomous linear equations x\u02b9 = A(t)x with a nonuniform exponential dichotomy, we show that under sufficiently small C\n                    <jats:sup>1<\/jats:sup>\n                    parameter-dependent perturbations, namely of the form x\u02b9 = A(t)x + f (t, x, \u03bb), the topological conjugacies in an appropriate version of the Grobman-Hartman theorem are of class C\n                    <jats:sup>1<\/jats:sup>\n                    in the parameter. The proof uses the fiber contraction principle.\n                  <\/jats:p>","DOI":"10.1515\/ans-2011-0211","type":"journal-article","created":{"date-parts":[[2016,3,11]],"date-time":"2016-03-11T06:43:02Z","timestamp":1457678582000},"page":"429-441","source":"Crossref","is-referenced-by-count":0,"title":["Smooth Dependence of Topological Conjugacies on Parameters"],"prefix":"10.1515","volume":"11","author":[{"given":"Luis","family":"Barreira","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica Instituto Superior T\u00e9cnico, 1049-001 Lisboa, Portugal"}]},{"given":"Claudia","family":"Valls","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Instituto Superior T\u00e9cnico, 1049-001 Lisboa, Portugal"}]}],"member":"374","published-online":{"date-parts":[[2016,3,10]]},"reference":[{"key":"ref71","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1090\/S0002-9939-1963-0152718-3","article-title":"On the local linearization of di\ufb00erential equations","volume":"14","author":"Hartman","year":"1963","journal-title":"Proc Amer Math Soc"},{"key":"ref51","first-page":"128","article-title":"Homeomorphism of systems of di\ufb00erential equations Smooth dependence of topological conjugacies on parameters Topological classi\ufb01cation of neighborhoods of a singularity in n - space Mat","author":"Grobman","year":"1959","journal-title":"Dokl Akad Nauk SSSR"},{"key":"ref21","article-title":"Stability of Nonautonomous Di\ufb00erential Equations in","author":"Barreira","year":"1926","journal-title":"Lect Notes Math"},{"key":"ref81","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1016\/0022-247X(73)90245-X","article-title":"A generalization of Hartman s linearization theorem","volume":"41","author":"Palmer","year":"1973","journal-title":"Math Anal Appl"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1090\/S0002-9939-1960-0121542-7","article-title":"A lemma in the theory of structural stability of di\ufb00erential equations","volume":"11","author":"Hartman","year":"1960","journal-title":"Proc Amer Math Soc"},{"key":"ref91","doi-asserted-by":"crossref","first-page":"809","DOI":"10.2307\/2372437","article-title":"Local contractions and a theorem of Poincare","volume":"79","author":"Sternberg","year":"1957","journal-title":"Math"},{"key":"ref11","first-page":"253","article-title":"Conjugacies for linear and nonlinear perturbations of nonuniform behavior","author":"Barreira","year":"2007","journal-title":"Funct Anal"}],"container-title":["Advanced Nonlinear Studies"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/ans-2011-0211\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/ans-2011-0211\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T19:29:08Z","timestamp":1764962948000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyterbrill.com\/document\/doi\/10.1515\/ans-2011-0211\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5,1]]},"references-count":7,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2016,3,10]]},"published-print":{"date-parts":[[2011,5,1]]}},"alternative-id":["10.1515\/ans-2011-0211"],"URL":"https:\/\/doi.org\/10.1515\/ans-2011-0211","relation":{},"ISSN":["2169-0375","1536-1365"],"issn-type":[{"type":"electronic","value":"2169-0375"},{"type":"print","value":"1536-1365"}],"subject":[],"published":{"date-parts":[[2011,5,1]]}}}