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Journal of Dynamics and Differential Equations最新文献

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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
Reaction–Diffusion Problems on Time-Periodic Domains 时间周期域上的反应扩散问题
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-23 DOI: 10.1007/s10884-023-10308-9
Jane Allwright
{"title":"Reaction–Diffusion Problems on Time-Periodic Domains","authors":"Jane Allwright","doi":"10.1007/s10884-023-10308-9","DOIUrl":"https://doi.org/10.1007/s10884-023-10308-9","url":null,"abstract":"Abstract Reaction–diffusion equations are studied on bounded, time-periodic domains with zero Dirichlet boundary conditions. The long-time behaviour is shown to depend on the principal periodic eigenvalue of a transformed periodic-parabolic problem. We prove upper and lower bounds on this eigenvalue under a range of different assumptions on the domain, and apply them to examples. The principal eigenvalue is considered as a function of the frequency, and results are given regarding its behaviour in the small and large frequency limits. A monotonicity property with respect to frequency is also proven. A reaction–diffusion problem with a class of monostable nonlinearity is then studied on a periodic domain, and we prove convergence to either zero or a unique positive periodic solution.","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959916","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
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations d -凹非自治标量常微分方程的广义Pitchfork分岔
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-23 DOI: 10.1007/s10884-023-10309-8
Jesús Dueñas, Carmen Núñez, Rafael Obaya
{"title":"Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations","authors":"Jesús Dueñas, Carmen Núñez, Rafael Obaya","doi":"10.1007/s10884-023-10309-8","DOIUrl":"https://doi.org/10.1007/s10884-023-10309-8","url":null,"abstract":"Abstract The global bifurcation diagrams for two different one-parametric perturbations ( $$+lambda x$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>+</mml:mo> <mml:mi>λ</mml:mi> <mml:mi>x</mml:mi> </mml:mrow> </mml:math> and $$+lambda x^2$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>+</mml:mo> <mml:mi>λ</mml:mi> <mml:msup> <mml:mi>x</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:math> ) of a dissipative scalar nonautonomous ordinary differential equation $$x'=f(t,x)$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> are described assuming that 0 is a constant solution, that f is recurrent in t , and that its first derivative with respect to x is a strictly concave function. The use of the skewproduct formalism allows us to identify bifurcations with changes in the number of minimal sets and in the shape of the global attractor. In the case of perturbation $$+lambda x$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>+</mml:mo> <mml:mi>λ</mml:mi> <mml:mi>x</mml:mi> </mml:mrow> </mml:math> , a so-called generalized pitchfork bifurcation may arise, with the particularity of lack of an analogue in autonomous dynamics. This new bifurcation pattern is extensively investigated in this work.","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958965","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: 2
Decomposition of Linear Systems on Disconnected Lie Groups 不连通李群上线性系统的分解
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-15 DOI: 10.1007/s10884-023-10287-x
Josiney A. Souza
{"title":"Decomposition of Linear Systems on Disconnected Lie Groups","authors":"Josiney A. Souza","doi":"10.1007/s10884-023-10287-x","DOIUrl":"https://doi.org/10.1007/s10884-023-10287-x","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436363","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
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise 带输运噪声的随机Navier-Stokes方程的增强耗散
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-15 DOI: 10.1007/s10884-023-10307-w
Dejun Luo
{"title":"Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise","authors":"Dejun Luo","doi":"10.1007/s10884-023-10307-w","DOIUrl":"https://doi.org/10.1007/s10884-023-10307-w","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436709","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: 6
Global Dynamics of a Diffusive Lotka–Volterra Competition Model with Stage-Structure 具有阶段结构的扩散Lotka-Volterra竞争模型的全局动力学
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-15 DOI: 10.1007/s10884-023-10306-x
Li Ma, Shangjiang Guo
{"title":"Global Dynamics of a Diffusive Lotka–Volterra Competition Model with Stage-Structure","authors":"Li Ma, Shangjiang Guo","doi":"10.1007/s10884-023-10306-x","DOIUrl":"https://doi.org/10.1007/s10884-023-10306-x","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436710","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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