{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T16:02:37Z","timestamp":1775059357595,"version":"3.50.1"},"reference-count":42,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["DCDS-S"],"published-print":{"date-parts":[[2025]]},"DOI":"10.3934\/dcdss.2025069","type":"journal-article","created":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T08:16:24Z","timestamp":1747037784000},"page":"3917-3944","source":"Crossref","is-referenced-by-count":1,"title":["Generalized dichotomies via time rescaling"],"prefix":"10.3934","volume":"18","author":[{"given":"Davor","family":"Dragi\u010devi\u0107","sequence":"first","affiliation":[]},{"given":"C\u00e9sar M.","family":"Silva","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia"}]}],"member":"2321","reference":[{"key":"key-10.3934\/dcdss.2025069-1","doi-asserted-by":"publisher","DOI":"10.1080\/10236190108808310"},{"key":"key-10.3934\/dcdss.2025069-2","doi-asserted-by":"crossref","unstructured":"<p>L. Backes and D. Dragi\u010devi\u0107, A characterization of $(\\mu, \\nu)$-dichotomies via admissibility, preprint, 2024, arXiv: 2406.04126.<\/p>","DOI":"10.1002\/mana.70005"},{"key":"key-10.3934\/dcdss.2025069-3","doi-asserted-by":"crossref","unstructured":"<p>L. Backes, D. Dragi\u010devi\u0107 and W. Zhang, Smooth linearization for nonautonomous dynamics under polynomial behaviour, preprint, 2022, arXiv: 2210.04804.<\/p>","DOI":"10.2139\/ssrn.4446442"},{"key":"key-10.3934\/dcdss.2025069-4","doi-asserted-by":"publisher","DOI":"10.4171\/rlm\/732"},{"key":"key-10.3934\/dcdss.2025069-5","doi-asserted-by":"crossref","unstructured":"<p>L. Barreira, D. Dragi\u010devi\u0107 and C. Valls, Strong nonuniform spectrum for arbitrary growth rates, <i>Commun. Contemp. Math.<\/i>, <b>19<\/b> (2017), 1650008, 25 pp.<\/p>","DOI":"10.1142\/S0219199716500085"},{"key":"key-10.3934\/dcdss.2025069-6","doi-asserted-by":"crossref","unstructured":"<p>L. Barreira, D. Dragi\u010devi\u0107 and C. Valls, <i>Admissibility and Hyperbolicity<\/i>, SpringerBriefs Math., Springer, Cham, 2018.<\/p>","DOI":"10.1007\/978-3-319-90110-7"},{"key":"key-10.3934\/dcdss.2025069-7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2006.04.001"},{"key":"key-10.3934\/dcdss.2025069-8","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2008.22.509"},{"key":"key-10.3934\/dcdss.2025069-9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2009.06.023"},{"key":"key-10.3934\/dcdss.2025069-10","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.04.005"},{"key":"key-10.3934\/dcdss.2025069-11","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2017163"},{"key":"key-10.3934\/dcdss.2025069-12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2009.01.032"},{"key":"key-10.3934\/dcdss.2025069-13","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.08.008"},{"key":"key-10.3934\/dcdss.2025069-14","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-013-9331-4"},{"key":"key-10.3934\/dcdss.2025069-15","doi-asserted-by":"publisher","DOI":"10.37193\/CJM.2022.03.22"},{"key":"key-10.3934\/dcdss.2025069-16","doi-asserted-by":"crossref","unstructured":"<p>C. Chicone and Yu. Latushkin, <i>Evolution Semigroups in Dynamical Systems and Differential Equations<\/i>, Mathematical Surveys and Monographs, 70, Amer. Math. Soc., 1999.<\/p>","DOI":"10.1090\/surv\/070"},{"key":"key-10.3934\/dcdss.2025069-17","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2013.03.003"},{"key":"key-10.3934\/dcdss.2025069-18","doi-asserted-by":"crossref","unstructured":"<p>W. Coppel, <i>Dichotomies in Stability Theory<\/i>, Lect. Notes in Math., 629, Springer, 1978.<\/p>","DOI":"10.1007\/BFb0067780"},{"key":"key-10.3934\/dcdss.2025069-19","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-017-9629-8"},{"key":"key-10.3934\/dcdss.2025069-20","unstructured":"<p>Ju. Dalec'ki\u012d and M. Kre\u012dn, <i>Stability of Solutions of Differential Equations in Banach Space<\/i>, Translations of Mathematical Monographs 43, Amer. Math. Soc., 1974.<\/p>"},{"key":"key-10.3934\/dcdss.2025069-21","doi-asserted-by":"publisher","DOI":"10.1002\/mana.201800291"},{"key":"key-10.3934\/dcdss.2025069-22","doi-asserted-by":"crossref","unstructured":"<p>D. Dragi\u010devi\u0107, N. Jur\u010devi\u0107 Pe\u010dek and N. Lupa, Admissibility and general dichotomies for evolution families, <i>Electron. J. Qual. Theory Differ. Equ.<\/i>, (2020), Paper No. 58, 19 pp.<\/p>","DOI":"10.14232\/ejqtde.2020.1.58"},{"key":"key-10.3934\/dcdss.2025069-23","doi-asserted-by":"publisher","DOI":"10.37193\/CJM.2022.03.12"},{"key":"key-10.3934\/dcdss.2025069-24","doi-asserted-by":"publisher","DOI":"10.37193\/CJM.2022.03.18"},{"key":"key-10.3934\/dcdss.2025069-25","doi-asserted-by":"crossref","unstructured":"<p>D. Dragi\u010devi\u0107, C. Silva and H. Vilarinho, Admissibility and generalized nonuniform dichotomies for nonautonomous random dynamical systems, <i>J. Math. Anal. Appl.<\/i>, <b>549<\/b> (2025), 129441, 30 pp.<\/p>","DOI":"10.1016\/j.jmaa.2025.129441"},{"key":"key-10.3934\/dcdss.2025069-26","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-018-2134-x"},{"key":"key-10.3934\/dcdss.2025069-27","doi-asserted-by":"publisher","DOI":"10.1112\/plms.12315"},{"key":"key-10.3934\/dcdss.2025069-28","doi-asserted-by":"crossref","unstructured":"<p>D. Henry, <i>Geometric Theory of Semilinear Parabolic Equations<\/i>, Lecture Notes in Mathematics, 840, Springer-Verlag, Berlin-New York, 1981.<\/p>","DOI":"10.1007\/BFb0089647"},{"key":"key-10.3934\/dcdss.2025069-29","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-024-02969-8"},{"key":"key-10.3934\/dcdss.2025069-30","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2017052"},{"key":"key-10.3934\/dcdss.2025069-31","doi-asserted-by":"publisher","DOI":"10.37193\/CJM.2022.03.14"},{"key":"key-10.3934\/dcdss.2025069-32","doi-asserted-by":"crossref","unstructured":"<p>N. Lupa and L. Popescu, Generalized evolution semigroups and general dichotomies, <i>Results Math.<\/i>, <b>78<\/b> (2023), Paper No. 112, 26 pp.<\/p>","DOI":"10.1007\/s00025-023-01896-5"},{"key":"key-10.3934\/dcdss.2025069-33","doi-asserted-by":"crossref","unstructured":"<p>P. E. Kloeden and M. Rasmussen, <i>Nonautonomous Dynamical Systems<\/i>, Math. Surveys and Monogr., vol. 176, Amer. Math. Soc., Providence, RI, 2011.<\/p>","DOI":"10.1090\/surv\/176"},{"key":"key-10.3934\/dcdss.2025069-34"},{"key":"key-10.3934\/dcdss.2025069-35","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1984-0737880-1"},{"key":"key-10.3934\/dcdss.2025069-36","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1995.1065"},{"key":"key-10.3934\/dcdss.2025069-37","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(73)90245-X"},{"key":"key-10.3934\/dcdss.2025069-38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01194662"},{"key":"key-10.3934\/dcdss.2025069-39","doi-asserted-by":"crossref","unstructured":"<p>C. P\u00f6tzsche, <i>Geometric Theory of Discrete Nonautonomous Dynamical Systems<\/i>, Lecture Notes in Mathematics, vol. 2002, Springer, 2010.<\/p>","DOI":"10.1007\/978-3-642-14258-1"},{"key":"key-10.3934\/dcdss.2025069-40","doi-asserted-by":"crossref","unstructured":"<p>G. R. Sell and Y. You, <i>Dynamics of Evolutionary Equations<\/i>, Appl. Math. Sci., 143, Springer-Verlag, New York, 2002.<\/p>","DOI":"10.1115\/1.1497469"},{"key":"key-10.3934\/dcdss.2025069-41","doi-asserted-by":"publisher","DOI":"10.3934\/cpaa.2021112"},{"key":"key-10.3934\/dcdss.2025069-42","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2023.08.015"}],"container-title":["Discrete and Continuous Dynamical Systems - S"],"original-title":[],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:40:24Z","timestamp":1760064024000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/dcdss.2025069"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":42,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2025]]}},"URL":"https:\/\/doi.org\/10.3934\/dcdss.2025069","relation":{},"ISSN":["1937-1632","1937-1179"],"issn-type":[{"value":"1937-1632","type":"print"},{"value":"1937-1179","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]}}}