{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T13:13:41Z","timestamp":1744118021493,"version":"3.37.3"},"reference-count":40,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100007059","name":"Univerzita Palack\u00e9ho v Olomouci","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007059","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1016\/j.cnsns.2023.107395","type":"journal-article","created":{"date-parts":[[2023,6,28]],"date-time":"2023-06-28T00:54:54Z","timestamp":1687913694000},"page":"107395","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":4,"special_numbering":"C","title":["Parametric topological entropy of families of multivalued maps in topological spaces and induced hyperspace maps"],"prefix":"10.1016","volume":"125","author":[{"given":"Jan","family":"Andres","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1250-4735","authenticated-orcid":false,"given":"Pavel","family":"Ludv\u00edk","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"2\u20133","key":"10.1016\/j.cnsns.2023.107395_b1","first-page":"205","article-title":"Topological entropy of nonautonomous dynamical systems","volume":"4","author":"Kolyada","year":"1996","journal-title":"Random Comput Dyn","ISSN":"https:\/\/id.crossref.org\/issn\/1061-835X","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b2","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF01585664","article-title":"Topological dynamics of transformations induced on the space of probability measures","volume":"79","author":"Bauer","year":"1975","journal-title":"Monatsh Math","ISSN":"https:\/\/id.crossref.org\/issn\/0026-9255","issn-type":"print"},{"issue":"1\u20132","key":"10.1016\/j.cnsns.2023.107395_b3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.na.2008.10.055","article-title":"Chaos on hyperspaces","volume":"71","author":"Guirao","year":"2009","journal-title":"Nonlinear Anal","ISSN":"https:\/\/id.crossref.org\/issn\/0362-546X","issn-type":"print"},{"issue":"1","key":"10.1016\/j.cnsns.2023.107395_b4","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.chaos.2005.12.033","article-title":"Topological entropy and chaos for maps induced on hyperspaces","volume":"33","author":"Kwietniak","year":"2007","journal-title":"Chaos Solitons Fractals","ISSN":"https:\/\/id.crossref.org\/issn\/0960-0779","issn-type":"print"},{"issue":"6","key":"10.1016\/j.cnsns.2023.107395_b5","doi-asserted-by":"crossref","first-page":"1533","DOI":"10.1016\/j.na.2010.04.054","article-title":"Topological entropy for set valued maps","volume":"73","author":"Lampart","year":"2010","journal-title":"Nonlinear Anal","ISSN":"https:\/\/id.crossref.org\/issn\/0362-546X","issn-type":"print"},{"issue":"4","key":"10.1016\/j.cnsns.2023.107395_b6","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1016\/j.chaos.2005.08.173","article-title":"Topological entropy for induced hyperspace maps","volume":"28","author":"C\u00e1novas\u00a0Pe\u00f1a","year":"2006","journal-title":"Chaos Solitons Fractals","ISSN":"https:\/\/id.crossref.org\/issn\/0960-0779","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b7","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1090\/S0002-9947-1965-0175106-9","article-title":"Topological entropy","volume":"114","author":"Adler","year":"1965","journal-title":"Trans Amer Math Soc","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9947","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b8","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1090\/S0002-9947-1971-0274707-X","article-title":"Entropy for group endomorphisms and homogeneous spaces","volume":"153","author":"Bowen","year":"1971","journal-title":"Trans Amer Math Soc","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9947","issn-type":"print"},{"issue":"1","key":"10.1016\/j.cnsns.2023.107395_b9","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/j.chaos.2007.04.008","article-title":"Topological entropy of continuous functions on topological spaces","volume":"39","author":"Liu","year":"2009","journal-title":"Chaos Solitons Fractals","ISSN":"https:\/\/id.crossref.org\/issn\/0960-0779","issn-type":"print"},{"issue":"5","key":"10.1016\/j.cnsns.2023.107395_b10","first-page":"662","article-title":"Topological entropy of induced hyperspace dynamical systems equipped with the hit-or-miss topology","volume":"27","author":"Qian","year":"2011","journal-title":"Pure Appl Math (Xi\u2019An)","ISSN":"https:\/\/id.crossref.org\/issn\/1008-5513","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b11","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2020.109898","article-title":"Chaos for multivalued maps and induced hyperspace maps","volume":"138","author":"Andres","year":"2020","journal-title":"Chaos Solitons Fractals","ISSN":"https:\/\/id.crossref.org\/issn\/0960-0779","issn-type":"print"},{"issue":"10","key":"10.1016\/j.cnsns.2023.107395_b12","first-page":"3461","article-title":"Topological entropy for set-valued maps","volume":"20","author":"Carrasco-Olivera","year":"2015","journal-title":"Discrete Contin Dyn Syst Ser B","ISSN":"https:\/\/id.crossref.org\/issn\/1531-3492","issn-type":"print"},{"issue":"1","key":"10.1016\/j.cnsns.2023.107395_b13","first-page":"263","article-title":"Topological entropy of set-valued functions","volume":"43","author":"Kelly","year":"2017","journal-title":"Houston J Math","ISSN":"https:\/\/id.crossref.org\/issn\/0362-1588","issn-type":"print"},{"issue":"2","key":"10.1016\/j.cnsns.2023.107395_b14","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1017\/etds.2019.61","article-title":"Topological entropy of Markov set-valued functions","volume":"41","author":"Alvin","year":"2021","journal-title":"Ergodic Theory Dynam Syst","ISSN":"https:\/\/id.crossref.org\/issn\/0143-3857","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b15","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.topol.2018.06.015","article-title":"Topological entropy on closed sets in [0,1]2","volume":"246","author":"Erceg","year":"2018","journal-title":"Topology Appl","ISSN":"https:\/\/id.crossref.org\/issn\/0166-8641","issn-type":"print"},{"issue":"2","key":"10.1016\/j.cnsns.2023.107395_b16","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/j.jmaa.2023.127097","article-title":"On various entropies of set-valued maps","volume":"524","author":"Wang","year":"2023","journal-title":"J Math Anal Appl","ISSN":"https:\/\/id.crossref.org\/issn\/0022-247X","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b17","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.chaos.2022.112287","article-title":"Topological entropy of multivalued maps in topological spaces and hyperspaces","volume":"160","author":"Andres","year":"2022","journal-title":"Chaos Solitons Fractals","ISSN":"https:\/\/id.crossref.org\/issn\/0960-0779","issn-type":"print"},{"issue":"2","key":"10.1016\/j.cnsns.2023.107395_b18","doi-asserted-by":"crossref","first-page":"391","DOI":"10.21042\/AMNS.2016.2.00034","article-title":"On problems of topological dynamics in non-autonomous discrete systems","volume":"1","author":"Balibrea","year":"2016","journal-title":"Appl Math Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2023.107395_b19","series-title":"Differential and difference equations with applications","first-page":"179","article-title":"Entropy of nonautonomous dynamical systems","volume":"vol. 230","author":"Kawan","year":"2018"},{"key":"10.1016\/j.cnsns.2023.107395_b20","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.jde.2023.04.008","article-title":"Topological entropy of nonautonomous dynamical systems on uniform spaces","volume":"365","author":"Shao","year":"2023","journal-title":"J Differential Equations","ISSN":"https:\/\/id.crossref.org\/issn\/0022-0396","issn-type":"print"},{"issue":"1","key":"10.1016\/j.cnsns.2023.107395_b21","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1007\/s12346-020-00369-2","article-title":"Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type","volume":"19","author":"Shao","year":"2020","journal-title":"Qual Theory Dyn Syst","ISSN":"https:\/\/id.crossref.org\/issn\/1575-5460","issn-type":"print"},{"issue":"3","key":"10.1016\/j.cnsns.2023.107395_b22","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1080\/10236198.2015.1107055","article-title":"Estimations of topological entropy for non-autonomous discrete systems","volume":"22","author":"Shao","year":"2016","journal-title":"J Diff Equ Appl","ISSN":"https:\/\/id.crossref.org\/issn\/1023-6198","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.topol.2023.108415","article-title":"Induced dynamics of non-autonomous dynamical systems","volume":"326","author":"Shao","year":"2023","journal-title":"Topology Appl"},{"issue":"3","key":"10.1016\/j.cnsns.2023.107395_b24","doi-asserted-by":"crossref","DOI":"10.1063\/1.5054867","article-title":"Chaos in non-autonomous discrete systems and their induced set-valued systems","volume":"29","author":"Shao","year":"2019","journal-title":"Chaos","ISSN":"https:\/\/id.crossref.org\/issn\/1054-1500","issn-type":"print"},{"issue":"7","key":"10.1016\/j.cnsns.2023.107395_b25","doi-asserted-by":"crossref","first-page":"1916","DOI":"10.1016\/j.topol.2011.05.046","article-title":"New and old facts about entropy in uniform spaces and topological groups","volume":"159","author":"Dikranjan","year":"2012","journal-title":"Topology Appl","ISSN":"https:\/\/id.crossref.org\/issn\/0166-8641","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b26","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1112\/jlms\/s2-8.4.633","article-title":"Topological entropy and uniform spaces","volume":"8","author":"Hood","year":"1974","journal-title":"J Lond Math Soc (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0024-6107","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b27","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.topol.2016.07.016","article-title":"Topological entropy, pseudo-orbits and uniform spaces","volume":"210","author":"Yan","year":"2016","journal-title":"Topology Appl","ISSN":"https:\/\/id.crossref.org\/issn\/0166-8641","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b28","series-title":"Handbook of multivalued analysis. vol. I","isbn-type":"print","volume":"vol. 419","author":"Hu","year":"1997","ISBN":"https:\/\/id.crossref.org\/isbn\/0792346823"},{"key":"10.1016\/j.cnsns.2023.107395_b29","series-title":"Theory of correspondences","isbn-type":"print","author":"Klein","year":"1984","ISBN":"https:\/\/id.crossref.org\/isbn\/0471880167"},{"key":"10.1016\/j.cnsns.2023.107395_b30","series-title":"General topology. chapters 5\u201310","isbn-type":"print","author":"Bourbaki","year":"1998","ISBN":"https:\/\/id.crossref.org\/isbn\/3540645632"},{"year":"1975","series-title":"General topology","author":"Kelley","key":"10.1016\/j.cnsns.2023.107395_b31"},{"key":"10.1016\/j.cnsns.2023.107395_b32","first-page":"170","article-title":"\u00c9tude des spaces uniformes \u00e0 partir de la notion d\u2019\u00e9cart","volume":"11","author":"Choquet","year":"1965","journal-title":"Enseign Math (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0013-8584","issn-type":"print"},{"year":"1976","series-title":"Rings of continuous functions","author":"Gillman","key":"10.1016\/j.cnsns.2023.107395_b33"},{"year":"1964","series-title":"Uniform spaces","author":"Isbell","key":"10.1016\/j.cnsns.2023.107395_b34"},{"key":"10.1016\/j.cnsns.2023.107395_b35","series-title":"Uniform spaces and measures","volume":"vol. 30","author":"Pachl","year":"2013"},{"key":"10.1016\/j.cnsns.2023.107395_b36","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1090\/S0002-9947-1951-0042109-4","article-title":"Topologies on spaces of subsets","volume":"71","author":"Michael","year":"1951","journal-title":"Trans Amer Math Soc","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9947","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b37","first-page":"324","article-title":"A connection between various entropy characterizations of dynamical systems","volume":"35","author":"Dinaburg","year":"1971","journal-title":"Izv Akad Nauk SSSR Ser Mat","ISSN":"https:\/\/id.crossref.org\/issn\/0373-2436","issn-type":"print"},{"issue":"1","key":"10.1016\/j.cnsns.2023.107395_b38","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1090\/S0002-9939-2013-11717-X","article-title":"Positive topological entropy implies chaos DC2","volume":"142","author":"Downarowicz","year":"2014","journal-title":"Proc Amer Math Soc","ISSN":"https:\/\/id.crossref.org\/issn\/0002-9939","issn-type":"print"},{"issue":"8","key":"10.1016\/j.cnsns.2023.107395_b39","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1016\/j.aml.2012.02.021","article-title":"Weak mixing and chaos in nonautonomous discrete systems","volume":"25","author":"Balibrea","year":"2012","journal-title":"Appl Math Lett","ISSN":"https:\/\/id.crossref.org\/issn\/0893-9659","issn-type":"print"},{"key":"10.1016\/j.cnsns.2023.107395_b40","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.jde.2022.02.008","article-title":"Parametric topological entropy and differential equations with time-dependent impulses","volume":"317","author":"Andres","year":"2022","journal-title":"J Differential Equations","ISSN":"https:\/\/id.crossref.org\/issn\/0022-0396","issn-type":"print"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570423003131?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570423003131?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T13:33:30Z","timestamp":1697204010000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570423003131"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10]]},"references-count":40,"alternative-id":["S1007570423003131"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2023.107395","relation":{},"ISSN":["1007-5704"],"issn-type":[{"type":"print","value":"1007-5704"}],"subject":[],"published":{"date-parts":[[2023,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Parametric topological entropy of families of multivalued maps in topological spaces and induced hyperspace maps","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2023.107395","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"107395"}}