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Journal of Dynamics and Differential Equations最新文献

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Chaos of Induced Set-Valued Dynamical Systems on Uniform Spaces 统一空间上诱导集值动态系统的混沌问题
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-06-11 DOI: 10.1007/s10884-024-10374-7
Hua Shao
{"title":"Chaos of Induced Set-Valued Dynamical Systems on Uniform Spaces","authors":"Hua Shao","doi":"10.1007/s10884-024-10374-7","DOIUrl":"https://doi.org/10.1007/s10884-024-10374-7","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141360431","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
Nonlocal Balance Equation: Representation and Approximation of Solution 非局部平衡方程：解的表示与近似
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-06-08 DOI: 10.1007/s10884-024-10373-8
Yurii Averboukh
{"title":"Nonlocal Balance Equation: Representation and Approximation of Solution","authors":"Yurii Averboukh","doi":"10.1007/s10884-024-10373-8","DOIUrl":"https://doi.org/10.1007/s10884-024-10373-8","url":null,"abstract":"<p>We study a nonlocal balance equation that describes the evolution of a system consisting of infinitely many identical particles those move along a deterministic dynamics and can also either disappear or give a spring. In this case, the solution of the balance equation is considered in the space of nonnegative measures. We prove the superposition principle for the examined nonlocal balance equation. Furthermore, we interpret the source/sink term as a probability rate of jumps from/to a remote point. Using this idea and replacing the deterministic dynamics of each particle by a nonlinear Markov chain, we approximate the solution of the balance equation by a solution of a system of ODEs and evaluate the corresponding approximation rate. This result can be used for construction of numerical solutions of the nonlocal balance equation.</p>","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551852","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
Exponential Mixing for Heterochaos Baker Maps and the Dyck System 异种贝克地图的指数混合和戴克系统
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-06-04 DOI: 10.1007/s10884-024-10370-x
Hiroki Takahasi
{"title":"Exponential Mixing for Heterochaos Baker Maps and the Dyck System","authors":"Hiroki Takahasi","doi":"10.1007/s10884-024-10370-x","DOIUrl":"https://doi.org/10.1007/s10884-024-10370-x","url":null,"abstract":"<p>We investigate mixing properties of piecewise affine non-Markovian maps acting on <span>([0,1]^2)</span> or <span>([0,1]^3)</span> and preserving the Lebesgue measure, which are natural generalizations of the <i>heterochaos baker maps</i> introduced in Saiki et al. (Nonlinearity 34:5744–5761, 2021). These maps are skew products over uniformly expanding or hyperbolic bases, and the fiber direction is a center in which both contracting and expanding behaviors coexist. We prove that these maps are mixing of all orders. For maps with a mostly expanding or contracting center, we establish exponential mixing for Hölder functions. Using this result, for the Dyck system originating in the theory of formal languages, we establish exponential mixing for Hölder functions with respect to its two coexisting ergodic measures of maximal entropy.</p>","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253028","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
Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping 在具有局部非线性阻尼的非均质介质中求解的半线性层叠季莫申科梁的均匀稳定性
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-05-21 DOI: 10.1007/s10884-024-10369-4
Sabeur Mansouri
{"title":"Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping","authors":"Sabeur Mansouri","doi":"10.1007/s10884-024-10369-4","DOIUrl":"https://doi.org/10.1007/s10884-024-10369-4","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141113608","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
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations 一些非局部分散方程的同步和异步解法
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-05-17 DOI: 10.1007/s10884-024-10368-5
Jian-Wen Sun, Wen Tao
{"title":"Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations","authors":"Jian-Wen Sun, Wen Tao","doi":"10.1007/s10884-024-10368-5","DOIUrl":"https://doi.org/10.1007/s10884-024-10368-5","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140963168","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
Orbifold Hamiltonian Structures of Certain Quasi-Painlevé Equations 某些准潘列夫方程的轨道哈密顿结构
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-05-15 DOI: 10.1007/s10884-024-10352-z
G. Filipuk, A. Stokes
{"title":"Orbifold Hamiltonian Structures of Certain Quasi-Painlevé Equations","authors":"G. Filipuk, A. Stokes","doi":"10.1007/s10884-024-10352-z","DOIUrl":"https://doi.org/10.1007/s10884-024-10352-z","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140975840","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
On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates 关于激子-极坐标凝聚态的两种驱动-阻尼格罗斯-皮塔耶夫斯基模型的拟合优度
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-05-15 DOI: 10.1007/s10884-024-10359-6
Jakob Möller, Jesus Sierra
{"title":"On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates","authors":"Jakob Möller, Jesus Sierra","doi":"10.1007/s10884-024-10359-6","DOIUrl":"https://doi.org/10.1007/s10884-024-10359-6","url":null,"abstract":"<p>We study the well-posedness of two systems modeling the non-equilibrium dynamics of pumped decaying Bose–Einstein condensates. In particular, we present the local theory for rough initial data using the Fourier restricted norm method introduced by Bourgain. We extend the result globally for initial data in <span>(L^{2})</span>.</p>","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141060400","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
Blow Up for Klein–Gordon Equation with Nonlocal Operator and Trudinger–Moser Nonlinearity 具有非局部算子和特鲁丁格-莫泽非线性的克莱因-戈登方程的膨胀问题
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-04-23 DOI: 10.1007/s10884-024-10366-7
P. C. Carrião, O. Miyagaki, André Vicente
{"title":"Blow Up for Klein–Gordon Equation with Nonlocal Operator and Trudinger–Moser Nonlinearity","authors":"P. C. Carrião, O. Miyagaki, André Vicente","doi":"10.1007/s10884-024-10366-7","DOIUrl":"https://doi.org/10.1007/s10884-024-10366-7","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140669761","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
Long Time Dynamics of Quasi-linear Hamiltonian Klein–Gordon Equations on the Circle 圆周上准线性哈密顿克莱因-戈登方程的长时动力学
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-04-22 DOI: 10.1007/s10884-024-10365-8
R. Feola, Filippo Giuliani
{"title":"Long Time Dynamics of Quasi-linear Hamiltonian Klein–Gordon Equations on the Circle","authors":"R. Feola, Filippo Giuliani","doi":"10.1007/s10884-024-10365-8","DOIUrl":"https://doi.org/10.1007/s10884-024-10365-8","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140676520","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
First-time Sensitive Homeomorphisms 首次敏感同构
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2024-04-09 DOI: 10.1007/s10884-024-10362-x
Mayara Antunes, Bernardo Carvalho
{"title":"First-time Sensitive Homeomorphisms","authors":"Mayara Antunes, Bernardo Carvalho","doi":"10.1007/s10884-024-10362-x","DOIUrl":"https://doi.org/10.1007/s10884-024-10362-x","url":null,"abstract":"<p>We introduce first-time sensitivity for a homeomorphism of a compact metric space, that is a condition on the first increasing times of open balls of the space. Continuum-wise expansive homeomorphisms, the shift map on the Hilbert cube, and also some partially hyperbolic diffeomorphisms satisfy this condition. We prove the existence of local unstable continua satisfying similar properties with the local unstable continua of continuum-wise expansive homeomorphisms, but assuming first-time sensitivity. As a consequence we prove that first-time sensitivity (with some additional technical assumptions) implies positive topological entropy.</p>","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140601659","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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