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Journal of Dynamics and Differential Equations最新文献

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Quantifying the Shadowing Property 量化阴影属性
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-20 DOI: 10.1007/s10884-023-10317-8
C. A. Morales, T. Nguyen
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引用次数: 0
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary 具有自由边界的两种趋化竞争系统的消失-扩散二分法
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-20 DOI: 10.1007/s10884-023-10321-y
Lianzhang Bao, Wenxian Shen
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引用次数: 0
Dichotomy Gap Conditions, Admissible Spaces, and Inertial Manifolds 二分类间隙条件，可容许空间和惯性流形
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-20 DOI: 10.1007/s10884-023-10320-z
Thieu Huy Nguyen, Thi Ngoc Ha Vu
{"title":"Dichotomy Gap Conditions, Admissible Spaces, and Inertial Manifolds","authors":"Thieu Huy Nguyen, Thi Ngoc Ha Vu","doi":"10.1007/s10884-023-10320-z","DOIUrl":"https://doi.org/10.1007/s10884-023-10320-z","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135617780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The 3-D Nonlinear Hyperbolic–Parabolic Problems: Invariant Manifolds 三维非线性双曲抛物问题:不变流形
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-20 DOI: 10.1007/s10884-023-10319-6
Rong-Nian Wang, Jia-Cheng Zhao
{"title":"The 3-D Nonlinear Hyperbolic–Parabolic Problems: Invariant Manifolds","authors":"Rong-Nian Wang, Jia-Cheng Zhao","doi":"10.1007/s10884-023-10319-6","DOIUrl":"https://doi.org/10.1007/s10884-023-10319-6","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135617788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of Some Anticipating Semilinear Stochastic Differential Equations of Skorohod Type Skorohod型预测半线性随机微分方程的稳定性
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-11 DOI: 10.1007/s10884-023-10312-z
Jorge A. León, David Márquez-Carreras, Josep Vives
{"title":"Stability of Some Anticipating Semilinear Stochastic Differential Equations of Skorohod Type","authors":"Jorge A. León, David Márquez-Carreras, Josep Vives","doi":"10.1007/s10884-023-10312-z","DOIUrl":"https://doi.org/10.1007/s10884-023-10312-z","url":null,"abstract":"Abstract In the present paper, we study different types of stability of the solution of a semi-linear anticipating stochastic differential equation driven by a Brownian motion, with a random variable as initial condition. The involved stochastic integral is the Skorohod one. Being the initial condition random, we need to redefine the stability concepts. The new stability criteria depend on the derivative of the initial condition in the Malliavin calculus sense.","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136209498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Block Regularisation of the Logarithm Central Force Problem 对数中心力问题的块正则化
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-06 DOI: 10.1007/s10884-023-10314-x
Archishman Saha, Cristina Stoica
{"title":"Block Regularisation of the Logarithm Central Force Problem","authors":"Archishman Saha, Cristina Stoica","doi":"10.1007/s10884-023-10314-x","DOIUrl":"https://doi.org/10.1007/s10884-023-10314-x","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135350690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coherent Structures in Nonlocal Systems: Functional Analytic Tools 非局部系统中的相干结构:功能分析工具
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-05 DOI: 10.1007/s10884-023-10290-2
Olivia Cannon, Arnd Scheel
{"title":"Coherent Structures in Nonlocal Systems: Functional Analytic Tools","authors":"Olivia Cannon, Arnd Scheel","doi":"10.1007/s10884-023-10290-2","DOIUrl":"https://doi.org/10.1007/s10884-023-10290-2","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134976339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Smooth Anosov Katok Diffeomorphisms with Generic Measure 具有一般测度的光滑Anosov Katok微分同胚
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-05 DOI: 10.1007/s10884-023-10313-y
Divya Khurana
{"title":"Smooth Anosov Katok Diffeomorphisms with Generic Measure","authors":"Divya Khurana","doi":"10.1007/s10884-023-10313-y","DOIUrl":"https://doi.org/10.1007/s10884-023-10313-y","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135482063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectra Based on Bohl Exponents and Bohl Dichotomy for Nonautonomous Difference Equations 基于Bohl指数和Bohl二分法的非自治差分方程谱
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-10-05 DOI: 10.1007/s10884-023-10311-0
Adam Czornik, Konrad Kitzing, Stefan Siegmund
{"title":"Spectra Based on Bohl Exponents and Bohl Dichotomy for Nonautonomous Difference Equations","authors":"Adam Czornik, Konrad Kitzing, Stefan Siegmund","doi":"10.1007/s10884-023-10311-0","DOIUrl":"https://doi.org/10.1007/s10884-023-10311-0","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"167 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135482066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological Inference of the Conley Index 康利指数的拓扑推断
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-23 DOI: 10.1007/s10884-023-10310-1
Ka Man Yim, Vidit Nanda
{"title":"Topological Inference of the Conley Index","authors":"Ka Man Yim, Vidit Nanda","doi":"10.1007/s10884-023-10310-1","DOIUrl":"https://doi.org/10.1007/s10884-023-10310-1","url":null,"abstract":"Abstract The Conley index of an isolated invariant set is a fundamental object in the study of dynamical systems. Here we consider smooth functions on closed submanifolds of Euclidean space and describe a framework for inferring the Conley index of any compact, connected isolated critical set of such a function with high confidence from a sufficiently large finite point sample. The main construction of this paper is a specific index pair which is local to the critical set in question. We establish that these index pairs have positive reach and hence admit a sampling theory for robust homology inference. This allows us to estimate the Conley index, and as a direct consequence, we are also able to estimate the Morse index of any critical point of a Morse function using finitely many local evaluations.","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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