{"title":"一类平面协同地图的全局动力学结果","authors":"M. R. S. Kulenović, J. Marcotte, O. Merino","doi":"10.1080/10236198.2023.2270700","DOIUrl":null,"url":null,"abstract":"AbstractSufficient conditions are given for planar cooperative maps to have the qualitative global dynamics determined solely on local stability information obtained from fixed and minimal period-two points. The results are given for a class of strongly cooperative planar maps of class C1 on an order interval. The maps are assumed to have a finite number of strongly ordered fixed points, and also the strongly ordered minimal period-two points. Some applications are included.Keywords: Attractivitybasin of attractioncooperative mapdifference equationinvariant setsperiodic pointsAMS 2020 Mathematics Subject Classification:: 37C2537E3039A30 AcknowledgmentsThe Authors are grateful to two anonymous referees for their constructive comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global dynamics results for a class of planar cooperative maps\",\"authors\":\"M. R. S. Kulenović, J. Marcotte, O. Merino\",\"doi\":\"10.1080/10236198.2023.2270700\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractSufficient conditions are given for planar cooperative maps to have the qualitative global dynamics determined solely on local stability information obtained from fixed and minimal period-two points. The results are given for a class of strongly cooperative planar maps of class C1 on an order interval. The maps are assumed to have a finite number of strongly ordered fixed points, and also the strongly ordered minimal period-two points. Some applications are included.Keywords: Attractivitybasin of attractioncooperative mapdifference equationinvariant setsperiodic pointsAMS 2020 Mathematics Subject Classification:: 37C2537E3039A30 AcknowledgmentsThe Authors are grateful to two anonymous referees for their constructive comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the author(s).\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/10236198.2023.2270700\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10236198.2023.2270700","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Global dynamics results for a class of planar cooperative maps
AbstractSufficient conditions are given for planar cooperative maps to have the qualitative global dynamics determined solely on local stability information obtained from fixed and minimal period-two points. The results are given for a class of strongly cooperative planar maps of class C1 on an order interval. The maps are assumed to have a finite number of strongly ordered fixed points, and also the strongly ordered minimal period-two points. Some applications are included.Keywords: Attractivitybasin of attractioncooperative mapdifference equationinvariant setsperiodic pointsAMS 2020 Mathematics Subject Classification:: 37C2537E3039A30 AcknowledgmentsThe Authors are grateful to two anonymous referees for their constructive comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the author(s).
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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