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Journal of Dynamics and Differential Equations最新文献

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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":"7 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":"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":"63 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":"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":"356 1","pages":"0"},"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":"134 1","pages":"0"},"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":"21 1","pages":"0"},"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
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model 共同感染动力学的时空演化:一个反应-扩散模型
4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-15 DOI: 10.1007/s10884-023-10285-z
Thi Minh Thao Le, Sten Madec
{"title":"Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model","authors":"Thi Minh Thao Le, Sten Madec","doi":"10.1007/s10884-023-10285-z","DOIUrl":"https://doi.org/10.1007/s10884-023-10285-z","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437530","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
Delay-Difference Equations and Stability 时滞差分方程与稳定性
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-09-02 DOI: 10.1007/s10884-023-10304-z
L. Barreira, C. Valls
{"title":"Delay-Difference Equations and Stability","authors":"L. Barreira, C. Valls","doi":"10.1007/s10884-023-10304-z","DOIUrl":"https://doi.org/10.1007/s10884-023-10304-z","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44210986","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
Zabczyk Type Criteria for Asymptotic Behavior of Dynamical Systems and Applications 动力系统渐近行为的Zabczyk型判据及其应用
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-08-29 DOI: 10.1007/s10884-023-10303-0
D. Dragičević, A. L. Sasu, B. Sasu, Ana Şirianţu
{"title":"Zabczyk Type Criteria for Asymptotic Behavior of Dynamical Systems and Applications","authors":"D. Dragičević, A. L. Sasu, B. Sasu, Ana Şirianţu","doi":"10.1007/s10884-023-10303-0","DOIUrl":"https://doi.org/10.1007/s10884-023-10303-0","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44626889","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
Dynamics of a Predator–Prey Model with Memory-Based Diffusion 基于记忆扩散的捕食者-猎物模型动力学
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-08-27 DOI: 10.1007/s10884-023-10305-y
Yujia Wang, Chuncheng Wang, Dejun Fan, Yuming Chen
{"title":"Dynamics of a Predator–Prey Model with Memory-Based Diffusion","authors":"Yujia Wang, Chuncheng Wang, Dejun Fan, Yuming Chen","doi":"10.1007/s10884-023-10305-y","DOIUrl":"https://doi.org/10.1007/s10884-023-10305-y","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41375980","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
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay 具有时滞的时空周期和部分退化反应扩散系统的传播动力学
IF 1.3 4区 数学
Journal of Dynamics and Differential Equations Pub Date : 2023-08-27 DOI: 10.1007/s10884-023-10299-7
Mingdi Huang, Shiliang Wu, Xiao-Qiang Zhao
{"title":"Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay","authors":"Mingdi Huang, Shiliang Wu, Xiao-Qiang Zhao","doi":"10.1007/s10884-023-10299-7","DOIUrl":"https://doi.org/10.1007/s10884-023-10299-7","url":null,"abstract":"","PeriodicalId":15624,"journal":{"name":"Journal of Dynamics and Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43165074","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
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