Communications in Nonlinear Science and Numerical Simulation最新文献_第8页

Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations 非定常不可压缩对流Brinkman-Forchheimer方程的鲁棒全局无发散弱Galerkin方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-10 DOI: 10.1016/j.cnsns.2024.108578

Xiaojuan Wang , Jihong Xiao , Xiaoping Xie , Shiquan Zhang

{"title":"Robust globally divergence-free weak Galerkin methods for unsteady incompressible convective Brinkman–Forchheimer equations","authors":"Xiaojuan Wang , Jihong Xiao , Xiaoping Xie , Shiquan Zhang","doi":"10.1016/j.cnsns.2024.108578","DOIUrl":"10.1016/j.cnsns.2024.108578","url":null,"abstract":"<div><div>This paper develops and analyzes a class of semi-discrete and fully discrete weak Galerkin finite element methods for unsteady incompressible convective Brinkman–Forchheimer equations. For the spatial discretization, the methods adopt the piecewise polynomials of degrees <span><math><mrow><mi>m</mi><mspace></mspace><mrow><mo>(</mo><mi>m</mi><mo>≥</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>m</mi><mo>−</mo><mn>1</mn></mrow></math></span> respectively to approximate the velocity and pressure inside the elements, and piecewise polynomials of degree <span><math><mi>m</mi></math></span> to approximate their numerical traces on the interfaces of elements. In the fully discrete method, the backward Euler difference scheme is used to approximate the time derivative. The methods are shown to yield globally divergence-free velocity approximation. Optimal a priori error estimates in the energy norm and <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm are established. A convergent linearized iterative algorithm is designed for solving the fully discrete system. Numerical experiments are provided to verify the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108578"},"PeriodicalIF":3.4,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142986959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 global stability of nonlinear systems with unbounded and distributed delays and a dominating non-delay term 具有无界分布时滞和非时滞项的非线性系统的全局稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-09 DOI: 10.1016/j.cnsns.2025.108590

Elena Braverman , Cemil Tunç , Osman Tunç

引用次数: 0

Multiscale grayscale dispersion entropy: A new nonlinear dynamics metric for time series analysis 多尺度灰度色散熵：一种新的用于时间序列分析的非线性动力学度量

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-07 DOI: 10.1016/j.cnsns.2025.108597

Yuxing Li , Yilan Lou , Chunli Zhang

{"title":"Multiscale grayscale dispersion entropy: A new nonlinear dynamics metric for time series analysis","authors":"Yuxing Li , Yilan Lou , Chunli Zhang","doi":"10.1016/j.cnsns.2025.108597","DOIUrl":"10.1016/j.cnsns.2025.108597","url":null,"abstract":"<div><div>Link dispersion entropy (LDE), as an improvement of dispersion entropy (DE), focuses on transition states between adjacent dispersion patterns. However, the transition states of dispersion patterns at different intervals are ignored and parameters of LDE have a significant impact on entropy value. To address these problems, grayscale dispersion entropy (GDE) is proposed, which introduces transition step size considering the transition states between dispersion patterns at different intervals, reflecting the state transition information comprehensively and uses a grayscale matrix instead of a transition probability matrix to weaken the effect of parameter on entropy value. Moreover, multiscale grayscale dispersion entropy (MGDE) is proposed as a multiscale version of GDE, which reflects the complexity at various time scales. Simulation experiments have confirmed that GDE possesses the capability to precisely detect dynamic changes in signal and accurately represent signal complexity. For two types of publicly available ship radiated noise datasets and rolling bearing dataset, MGDE has better classification performance than other four complexity metrics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108597"},"PeriodicalIF":3.4,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142986963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 delayed discrete-time SEIR negative information propagation model with multi-platform and cross-transmission mechanism 具有多平台交叉传播机制的延迟离散SEIR负信息传播模型的全局动力学

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-07 DOI: 10.1016/j.cnsns.2025.108591

Yutao Yan , Shuzhen Yu , Zhiyong Yu , Haijun Jiang , Hui Wang

{"title":"Global dynamics of delayed discrete-time SEIR negative information propagation model with multi-platform and cross-transmission mechanism","authors":"Yutao Yan , Shuzhen Yu , Zhiyong Yu , Haijun Jiang , Hui Wang","doi":"10.1016/j.cnsns.2025.108591","DOIUrl":"10.1016/j.cnsns.2025.108591","url":null,"abstract":"<div><div>Taking into account the phenomenon of cross-platform propagation of network information and multi-platform network environments, this paper constructs two discrete-time negative information propagation models with time delays. For the single platform model, we first prove that the information-free equilibrium (IFE) is locally asymptotically stable (LA-stable) and globally asymptotically stable (GA-stable) when <span><math><mrow><msub><mrow><mi>ℛ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>. Then, by using the method of Lyapunov function, it is obtained that when <span><math><mrow><msub><mrow><mi>ℛ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>, the information-spreading equilibrium (ISE) is GA-stable. For the multi-platform model, it is found that its dynamic behaviors are completely determined by the propagation threshold <span><math><msub><mrow><mover><mrow><mi>ℜ</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msub></math></span>. To be specific, the IFE of the multi-platform model is GA-stable when <span><math><mrow><msub><mrow><mover><mrow><mi>ℜ</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>. With respect to <span><math><mrow><msub><mrow><mover><mrow><mi>ℜ</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>, it is proved that the ISE is GA-stable by using graph theory approach. The numerical experiments verify the accuracy of the conclusions. In the end, a real case is selected to illustrate the applicability of the model.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108591"},"PeriodicalIF":3.4,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142986961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Homogenization for stochastic complex Ginzburg–Landau equation on the half-line with rapid Neumann boundary fluctuation

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-07 DOI: 10.1016/j.cnsns.2025.108594

Yangyang Shi , Hongjun Gao

引用次数: 0

Oscillatory wave bifurcation and spatiotemporal patterns in fractional subhyperbolic reaction-diffusion systems 分数次双曲反应-扩散系统的振荡波分岔和时空模式

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-07 DOI: 10.1016/j.cnsns.2025.108601

Bohdan Datsko , Vasyl Gafiychuk

引用次数: 0

The asymptotic problem on contact Hamilton–Jacobi equations with state constraints 带状态约束的接触Hamilton-Jacobi方程的渐近问题

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-06 DOI: 10.1016/j.cnsns.2025.108593

Xiaotian Hu

引用次数: 0

Data-driven discovery of conservation laws from trajectories via neural deflation 数据驱动的守恒定律的发现，从轨迹通过神经紧缩

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-04 DOI: 10.1016/j.cnsns.2024.108563

Shaoxuan Chen , Panayotis G. Kevrekidis , Hong-Kun Zhang , Wei Zhu

引用次数: 0

Nonlinear stochastic vibration of GPRMF cylindrical shell with harmonic and white noise excitations 谐波和白噪声激励下GPRMF圆柱壳的非线性随机振动

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-04 DOI: 10.1016/j.cnsns.2025.108592

Liyuan Wang , Dongxu Cao , Jiayang Gu

{"title":"Nonlinear stochastic vibration of GPRMF cylindrical shell with harmonic and white noise excitations","authors":"Liyuan Wang , Dongxu Cao , Jiayang Gu","doi":"10.1016/j.cnsns.2025.108592","DOIUrl":"10.1016/j.cnsns.2025.108592","url":null,"abstract":"<div><div>This study focuses on analyzing the behavior of a graphene platelet reinforced metal foams (GPRMF) cylindrical shell under both harmonic and random excitation using advanced stochastic methods. A nonlinear stochastic differential equation describes the shell's random vibration, and the probability density function (PDF) of the vibration response is calculated using the random integral approach. The methodology demonstrates high accuracy in capturing the system's dynamic properties. The impact of external excitation frequency on the marginal and joint PDFs is thoroughly examined. The study shows that external excitation frequency significantly impacts the marginal and joint probability density functions of the vibration response. By utilizing the amplitude response curve under pure harmonic excitation, the stochastic vibration behavior under combined harmonic and white noise excitations can be effectively predicted. The study further explores the effects of random excitation strength and other parameters on the vibration response, providing insights into the displacement response and its statistical characteristics. The results validate the methods employed and highlight their capability in accurately predicting the complex dynamic behavior of GPRMF cylindrical shells.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108592"},"PeriodicalIF":3.4,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142986966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Practical fixed-time Lyapunov criterion of stochastic nonlinear systems and its application 随机非线性系统的实用定时Lyapunov判据及其应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-03 DOI: 10.1016/j.cnsns.2024.108587

Jingjing You , Abudujelil Abudurahman , Shuxin Liu

引用次数: 0