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Discrete and Continuous Dynamical Systems-Series B最新文献

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Synchronization of discrete time Kuramoto oscillators with delayed states 具有延迟状态的离散时间Kuramoto振荡器的同步
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023183
Hua Zhang, Sisi Xiao
{"title":"Synchronization of discrete time Kuramoto oscillators with delayed states","authors":"Hua Zhang, Sisi Xiao","doi":"10.3934/dcdsb.2023183","DOIUrl":"https://doi.org/10.3934/dcdsb.2023183","url":null,"abstract":"This paper investigates the synchronization problem of a kind of discrete-time Kuramoto oscillators based on delayed position states. For this kind of Kuramoto model, the oscillators can only obtain delayed phase and frequency states relative to each other at a series of discrete time instants. Some simple sufficient conditions on the time step, the time delay, the natural frequencies, the coupling strength, and the historical and initial values of the phases and frequencies are derived analytically to ensure the phase synchronization of homogeneous oscillators and the frequency synchronization of heterogeneous oscillators, respectively. Finally, some numerical simulations are performed to verify the correctness of the theoretical results.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135319478","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
Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations 耦合非线性Schrödinger-Boussinesq方程的完全解耦保守指数方法
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023186
Jiaxiang Cai, Juan Chen
{"title":"Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations","authors":"Jiaxiang Cai, Juan Chen","doi":"10.3934/dcdsb.2023186","DOIUrl":"https://doi.org/10.3934/dcdsb.2023186","url":null,"abstract":"Some efficient temporal first-, second- and higher-order numerical schemes are constructed for the coupled nonlinear Schrödinger-Boussinesq (CNSB) equations based on discretizing the Hamiltonian formula by an exponential method in a compact representation, discrete gradient method and composition method. The schemes are fully decoupling of the three solution components, which is distinct from the partially decoupled scheme in the literature, and their compact representation reduces the storage requirement and operation count. Rigorous analyses are carried out to show the exact preservation of the discrete energy for the proposed schemes. Numerical experiments verify the theoretical results and confirm the satisfactory solution accuracy and excellent efficiency of the present schemes.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135505510","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
Global dynamics of a predator-prey model with a Smith growth function and the additive predation in prey 具有Smith生长函数的捕食者-猎物模型的全局动力学和猎物的加性捕食
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023161
Dingyong Bai, Jiale Zheng, Yun Kang
{"title":"Global dynamics of a predator-prey model with a Smith growth function and the additive predation in prey","authors":"Dingyong Bai, Jiale Zheng, Yun Kang","doi":"10.3934/dcdsb.2023161","DOIUrl":"https://doi.org/10.3934/dcdsb.2023161","url":null,"abstract":"We propose and study a predator-prey model with a Smith growth function and the addition predation term described by a Holling Type Ⅱ functional response in prey. This additive predation term can lead to Allee effects in prey population dynamics that can generate complicated dynamics in the corresponding predator-prey model. We provide a through analysis of the global dynamics of the proposed model, including the equilibrium stability, Hopf bifurcation and its directions, existence of a heteroclinic orbit loop and limit cycles. We show that when the predator-prey model exhibits Allee effects, Hopf bifurcation is either backward and supercritical or forward and subcritical. In the strong Allee effect case, the model has a heteroclinic orbit loop connecting two boundary saddle points. Our results show that the coexistence can be achieved by controlling the attack rate of other potential predators so that the model exhibits weak Allee effects or no Allee effect. Both the small additional predation rate and the large replacement rate of mass can improve the coexistence probability of two species. The main difference of dynamics between the model exhibiting weak Allee effect and no Allee effect lies in the pattern of coexistence: If no Allee effect, the coexistence can be a steady state while in the weak Allee case, the coexistence may be periodic.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135595513","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
Strong approximation of some particular one-dimensional diffusions 某些特定一维扩散的强近似
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023164
Madalina Deaconu, Samuel Herrmann
{"title":"Strong approximation of some particular one-dimensional diffusions","authors":"Madalina Deaconu, Samuel Herrmann","doi":"10.3934/dcdsb.2023164","DOIUrl":"https://doi.org/10.3934/dcdsb.2023164","url":null,"abstract":"We develop a new technique for the path approximation of one-dimensional stochastic processes. Our results apply to the Brownian motion and to some families of stochastic differential equations whose distributions could be represented as a function of a time-changed Brownian motion (usually known as $ L $ and $ G $-classes). We are interested in the $ varepsilon $-strong approximation. We propose an explicit and easy-to-implement procedure that jointly constructs, the sequences of exit times and corresponding exit positions of some well-chosen domains. In our main results, we prove the convergence of our scheme and how to control the number of steps, which depends on the covering of a fixed time interval by intervals of random sizes. The underlying idea of our analysis is to combine results on Brownian exit times from time-depending domains (one-dimensional heat balls) and classical renewal theory. Numerical examples and issues are also developed in order to complete the theoretical results.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135700138","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
Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities 具有密度依赖运动的捕食-食饵系统的有界性和渐近稳定性
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023173
Yunxi Li, Chunlai Mu, Xu Pan
{"title":"Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities","authors":"Yunxi Li, Chunlai Mu, Xu Pan","doi":"10.3934/dcdsb.2023173","DOIUrl":"https://doi.org/10.3934/dcdsb.2023173","url":null,"abstract":"In this paper, we consider the predator-prey system with density-dependent motilities and pursuit-evasion interaction under homogeneous Neumann boundary conditions. The main obstacle of analysis comes from the term produced by pursuit-evasion interaction. With the $ L^p $-estimate techniques and Moser iteration, we show that the system possesses a global bounded classical solution. Furthermore, with the aid of Lyapunov functional, we establish the asymptotic behavior of solutions to this system under appropriate parameter conditions.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136367265","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 parabolic fractal dimension for the co-rotational Beris-Edwards system 共旋转Beris-Edwards系统的抛物分形维数
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023134
Zhongbao Zuo
{"title":"The parabolic fractal dimension for the co-rotational Beris-Edwards system","authors":"Zhongbao Zuo","doi":"10.3934/dcdsb.2023134","DOIUrl":"https://doi.org/10.3934/dcdsb.2023134","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"25 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72412073","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 inverse random source scattering problems in a multi-layered medium 多层介质中逆随机源散射问题的稳定性
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023073
Yufei Zhang, Xiangshen Xu
{"title":"Stability of inverse random source scattering problems in a multi-layered medium","authors":"Yufei Zhang, Xiangshen Xu","doi":"10.3934/dcdsb.2023073","DOIUrl":"https://doi.org/10.3934/dcdsb.2023073","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"17 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80165345","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
Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth 用精确的交叉扩散和种群增长模拟细菌行波模式
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023012
Yong-Jung Kim, Changwook Yoon
{"title":"Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth","authors":"Yong-Jung Kim, Changwook Yoon","doi":"10.3934/dcdsb.2023012","DOIUrl":"https://doi.org/10.3934/dcdsb.2023012","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"17 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78515873","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
Unified stochastic representation, well-posedness analysis, and regularity analysis for the equations modeling anomalous diffusions 反常扩散方程的统一随机表示、适定性分析及正则性分析
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023121
Rui Sun, W. Deng
{"title":"Unified stochastic representation, well-posedness analysis, and regularity analysis for the equations modeling anomalous diffusions","authors":"Rui Sun, W. Deng","doi":"10.3934/dcdsb.2023121","DOIUrl":"https://doi.org/10.3934/dcdsb.2023121","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"88 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77325181","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
Some recurrent motions of Navier-Stokes equations with Coriolis force 含科里奥利力的Navier-Stokes方程的一些循环运动
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023014
Feng Chen, Xiaomeng Jiang, Yong Li
{"title":"Some recurrent motions of Navier-Stokes equations with Coriolis force","authors":"Feng Chen, Xiaomeng Jiang, Yong Li","doi":"10.3934/dcdsb.2023014","DOIUrl":"https://doi.org/10.3934/dcdsb.2023014","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"74 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86930656","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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