一类平面协同地图的全局动力学结果

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Journal of Difference Equations and Applications Pub Date : 2023-10-17 DOI:10.1080/10236198.2023.2270700

M. R. S. Kulenović, J. Marcotte, O. Merino

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引用次数: 0

摘要

摘要给出了平面协同映射定性全局动力学仅由固定最小周期两点局部稳定性信息确定的充分条件。给出了一类C1类在序区间上的强合作平面映射的结果。假设映射具有有限数量的强有序不动点，以及强有序最小周期点。包括一些应用程序。关键词:吸引力-吸引力盆地-合作映射差分方程不变集周期点sams 2020数学学科分类::37C2537E3039A30致谢感谢两位匿名审稿人提出的建设性意见和建议。披露声明作者未报告潜在的利益冲突。

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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).

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来源期刊

Journal of Difference Equations and Applications 数学-应用数学

CiteScore

2.10

自引率

9.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques. The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.