Banach空间中正则非退化异宿环的Lipschitz扰动

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Banach空间中正则非退化异宿环的Lipschitz扰动陈员龙, 骆世广广东金融学院金融数学与统计学院广州 510521 The Lipschitz Perturbations of Regular Nondegenrate Heteroclinic Cycles in Banach Spaces Yuan Long CHEN, Shi Guang LUOSchool of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, P. R. China

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摘要本文研究Banach空间上离散动力系统的Lipschitz扰动.设f，g是Banach空间（X，||·||）上的连续自映射.如果f具有正则非退化返回排斥子或正则非退化异宿环且g是f的Lipschitz小扰动，则g也有正则非退化返回排斥子或正则非退化异宿环.另外，本文还证明完备度量空间中正则非退化异宿环蕴含正则非退化返回排斥子.

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收稿日期: 2020-05-25

MR (2010):

O19

基金资助:国家自然科学基金（11671410）；广东省自然科学基金（2017A030313037，2018A0303130120）；广东省普通高校自然科学重点项目（2019KZDXM036）资助项目

通讯作者:骆世广,E-mail:26-047@gduf.edu.cn

作者简介: 陈员龙,E-mail:chernylong@163.com

引用本文:

陈员龙, 骆世广. Banach空间中正则非退化异宿环的Lipschitz扰动[J]. 数学学报, 2021, 64(3): 485-492. Yuan Long CHEN, Shi Guang LUO. The Lipschitz Perturbations of Regular Nondegenrate Heteroclinic Cycles in Banach Spaces. Acta Mathematica Sinica, Chinese Series, 2021, 64(3): 485-492.

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