Communications in Nonlinear Science and Numerical Simulation最新文献

Exponential synchronization of fractional-order T–S fuzzy complex multi-links networks with intermittent dynamic event-triggered control 具有间歇动态事件触发控制功能的分数阶 T-S 模糊复杂多链路网络的指数同步化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-01 DOI: 10.1016/j.cnsns.2024.108422

Xin Liu , Lili Chen , Yanfeng Zhao , Zhen Wang

引用次数: 0

Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions 描述具有吸收边界条件的梳子上量子动力学的二维分数薛定谔方程的数值模拟

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108407

Sitao Zhang , Lin Liu , Zhixia Ge , Yu Liu , Libo Feng , Jihong Wang

{"title":"Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions","authors":"Sitao Zhang , Lin Liu , Zhixia Ge , Yu Liu , Libo Feng , Jihong Wang","doi":"10.1016/j.cnsns.2024.108407","DOIUrl":"10.1016/j.cnsns.2024.108407","url":null,"abstract":"<div><div>This paper mainly contributes to investigating a distinctive fractional Schrödinger equation (FSE) for describing the quantum dynamics on a comb. The special characteristic of the comb is that the diffusion versus the <span><math><mi>x</mi></math></span>-direction only occurs on the <span><math><mi>x</mi></math></span>-axis. We replace the infinite boundary with the absorbing boundary conditions (ABCs), which can be obtained using the Laplace transform. We utilize the integration property to deal with the singularity function in the FSE and propose the finite difference method. The stability and convergence of this scheme are investigated. The <span><math><mi>L1</mi></math></span> scheme to discretize the Caputo fractional derivative needs a particularly expensive computational and storage cost. To increase the calculation speed, a fast algorithm is used to improve the operation efficiency. By introducing a source term, the exact solution and the numerical solution are compared. The comparison of the CPU time for the <span><math><mi>L1</mi></math></span> scheme and fast scheme is given. The comparison between the FSE on a comb and the classical one is also analyzed and discussed. The transport process versus the <span><math><mi>x</mi></math></span>-axis and the <span><math><mi>y</mi></math></span>-axis with various parameters are shown. Finally, the mean square displacement (MSD) is investigated. We find that the solution with the ABCs has a better agreement with the exact expression compared to the solution with truncated zero boundary conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587088","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

Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears 基于行星齿轮的连续稳态可调机械超材料的非线性动力学

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108425

Shuai Mo , Xuan Huang , Wenbin Liu , Yuansheng Zhou , Jielu Zhang , Haruo Houjoh , Wei Zhang

{"title":"Nonlinear dynamics of continuous steady-state tunable mechanical metamaterials based on planetary gears","authors":"Shuai Mo , Xuan Huang , Wenbin Liu , Yuansheng Zhou , Jielu Zhang , Haruo Houjoh , Wei Zhang","doi":"10.1016/j.cnsns.2024.108425","DOIUrl":"10.1016/j.cnsns.2024.108425","url":null,"abstract":"<div><div>Mechanical metamaterials with tunable mechanical properties have received extensive attention. In this work, a continuous steady-state metamaterial with tunable mechanical based on planetary gear cells is designed. Firstly, the excellent tunable properties of metamaterials are studied, which shows the designed metamaterials has a wide range of programmable stiffness and a significantly tunning band gap. The configuration relationship between tunability and structural parameters is analyzed. Then, a rigid-flexible coupling nonlinear dynamic model of planetary gear metamaterials is established and the dynamic characteristics of planetary gear metamaterials in the process of dynamic tunning are explored by numerical simulation. Moreover, the distribution characteristics of the system vibration response with the coupling parameter plane are disclosed, and the influence of the system dynamic parameters on its bifurcation characteristics and stability under coupling excitation is explored. Furthermore, an improved non-iterative cell mapping method is used to analyze the dependence of the vibration response of the system on the initial conditions. This work shows that the planetary gear metamaterials have a wide range of stiffness tunability and significantly variable band gap interval. Under the influences of internal and external excitations, the system exhibits various dynamic characteristics. The dynamic characteristics of flexible construction are mainly affected by structural parameters, and the dynamic characteristics of rigid construction are affected by multiple sets of coupling parameters and initial conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578209","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

Dynamic instability and nonlinear response analysis of nanocomposite sandwich arches with viscoelastic cores 带粘弹性芯材的纳米复合材料夹层拱的动态不稳定性和非线性响应分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108426

Minge Yang , Junyi He , Qiqing Yue , Hua Tang

{"title":"Dynamic instability and nonlinear response analysis of nanocomposite sandwich arches with viscoelastic cores","authors":"Minge Yang , Junyi He , Qiqing Yue , Hua Tang","doi":"10.1016/j.cnsns.2024.108426","DOIUrl":"10.1016/j.cnsns.2024.108426","url":null,"abstract":"<div><div>This paper presents a comprehensive study of the nonlinear dynamic behavior and snap-through phenomena in sandwich arch structures with viscoelastic cores and carbon nanotube-reinforced nanocomposite face sheets. Subjected to uniform time-dependent pressure shocks, these arches exhibit complex snap-through behavior critical for practical engineering applications. Utilizing third-order shear deformation theory, the study accurately captures nonlinear behaviors. The viscoelastic core, modeled with the Kelvin-Voigt law, enhances damping and reduces vibration amplitudes. Numerical solutions are obtained using a Chebyshev-based Ritz method, Newmark integration, and Newton-Raphson method. The Budiansky-Ruth criterion evaluates dynamic buckling loads. Key findings include significant instability near buckling loads, increased buckling loads and vibration damping due to viscoelastic effects, reduced buckling loads with foam cores, improved performance with CNTs, and more pronounced CNT effects with greater deflections. Additional conclusions highlight the sensitivity of dynamic snap-through to geometric parameters and the superior accuracy of the proposed approach compared to traditional models. This research advances the understanding and design strategies for nonlinear sandwich arch structures, enhancing predictive capabilities in complex structural systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142578208","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

Study of immune response in a latent tuberculosis infection model 潜伏肺结核感染模型的免疫反应研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-29 DOI: 10.1016/j.cnsns.2024.108404

Hui Cao , Jianquan Li , Pei Yu

{"title":"Study of immune response in a latent tuberculosis infection model","authors":"Hui Cao , Jianquan Li , Pei Yu","doi":"10.1016/j.cnsns.2024.108404","DOIUrl":"10.1016/j.cnsns.2024.108404","url":null,"abstract":"<div><div>A simple mathematical model describing the immune response during the stage latent tuberculosis infection is established and analyzed. The main purpose of this study is to explore the sustained immune response of the immune system against invaded Mycobacterium tuberculosis in the stage of latent tuberculosis infection. First, the threshold <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is defined to determine the occurrence of sustained immune response. Then, stability conditions are derived to show that the sustained immune response may converge to a constant or to a stable periodical oscillation, implying that the Mycobacterium tuberculosis, the infected macrophages, the activated uninfected macrophages, and the immune cells coexist to form the tuberculous granuloma structure. This structure may appear calcified if the system solution converges to a constant, or maintains a dynamic balance if the system solution undergoes a periodical oscillation. These findings well demonstrate the process of sustained immune response in the latent tuberculosis infection as the Mycobacterium tuberculosis is changing. Numerical examples are presented to illustrate the theoretical predictions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572687","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

Inverse uncertainty quantification for stochastic systems by resampling. Applications to modeling of alcohol consumption and infection by HIV 通过重采样对随机系统进行反向不确定性量化。应用于酒精消费和艾滋病毒感染建模

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-28 DOI: 10.1016/j.cnsns.2024.108401

Julia Calatayud , Marc Jornet , Carla M.A. Pinto

{"title":"Inverse uncertainty quantification for stochastic systems by resampling. Applications to modeling of alcohol consumption and infection by HIV","authors":"Julia Calatayud , Marc Jornet , Carla M.A. Pinto","doi":"10.1016/j.cnsns.2024.108401","DOIUrl":"10.1016/j.cnsns.2024.108401","url":null,"abstract":"<div><div>A random differential equation, or stochastic differential equation with parametric uncertainty, is a classical differential equation whose input values (coefficients, initial conditions, etc.) are random variables. Given data, the probability distributions of the input random parameters must be appropriately inferred, before proceeding to simulate the model’s output. This task is called inverse uncertainty quantification. In this paper, the goal is to study the applicability of the Bayesian bootstrap to draw inferences on the posterior distributions of the parameters, by resampling the residuals of the deterministic least-squares optimization with Dirichlet weights. The method is based on repeated deterministic calibrations. Thus, to alleviate the curse of dimensionality, the technique may be combined with the principle of maximum entropy for densities, when there are some parameters that are not optimized deterministically. For illustration of the methodology, two case studies on important health topics are conducted, with stochastic fitting to data. The first one, on past alcohol consumption in Spain, taking social contagion into account. The second one, on HIV evolution considering CD4<span><math><msup><mrow></mrow><mrow><mo>+</mo></mrow></msup></math></span> T cells and viral load, with a patient in clinical follow-up. All these applied models are built from a compartmental viewpoint, with a randomized basic reproduction number that controls the long-term behavior of the system.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554126","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

Symbolic dynamics approach to find periodic windows: The case study of the Rössler system 寻找周期窗口的符号动力学方法：罗斯勒系统案例研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-24 DOI: 10.1016/j.cnsns.2024.108403

Zbigniew Galias

引用次数: 0

Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation 线性阻尼非线性薛定谔方程的新型保角结构方案

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-24 DOI: 10.1016/j.cnsns.2024.108400

Renjie Han , Yezi Xu , Hao Fu , Dong Yan

引用次数: 0

Fractional derivative of Hermite fractal splines on the fractional-order delayed neural networks synchronization 关于分数阶延迟神经网络同步的赫米特分形样条的分数导数

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-23 DOI: 10.1016/j.cnsns.2024.108399

S.S. Mohanrasu , T.M.C. Priyanka , A. Gowrisankar , Ardak Kashkynbayev , K. Udhayakumar , R. Rakkiyappan

引用次数: 0

An optimal nonlinear fractional order controller for passive/active base isolation building equipped with friction-tuned mass dampers 配备摩擦调谐质量阻尼器的被动/主动基础隔震建筑的最优非线性分数阶控制器

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-22 DOI: 10.1016/j.cnsns.2024.108405

Morteza Akbari , Abbas-Ali Zamani , Mohammad Seifi , Bartolomeo Pantò , Tomasz Falborski , Robert Jankowski

{"title":"An optimal nonlinear fractional order controller for passive/active base isolation building equipped with friction-tuned mass dampers","authors":"Morteza Akbari , Abbas-Ali Zamani , Mohammad Seifi , Bartolomeo Pantò , Tomasz Falborski , Robert Jankowski","doi":"10.1016/j.cnsns.2024.108405","DOIUrl":"10.1016/j.cnsns.2024.108405","url":null,"abstract":"<div><div>This paper presents an optimal nonlinear fractional-order controller (ONFOC) designed to reduce the seismic responses of tall buildings equipped with a base-isolation (BI) system and friction-tuned mass dampers (FTMDs). The parameters for the BI and FTMD systems, as well as their combinations (BI-FTMD and active BI-FTMD or ABI-FTMD), were optimized separately using a multi-objective quantum-inspired seagull optimization algorithm (MOQSOA). The seismic performances of the BI, FTMD, BI-FTMD, and ABI-FTMD systems for a 15-storey building subjected to two far-field (Loma Prieta and Landers) and two near-fields (Tabas and Northridge) earthquakes were evaluated. The results indicated that structures with BI, FTMD, BI-FTMD, and ABI-FTMD systems outperformed the uncontrolled structure in reducing structural responses during the design earthquakes (Loma Prieta and Tabas). However, under validation earthquakes (Landers and Northridge), the peak acceleration of the building with the FTMD system was worse than that of the uncontrolled structure during the near-field Northridge earthquake. To address this issue, we proposed a combination of the active BI system and the FTMD system. Time history analysis results demonstrated that for the building equipped with the ABI-FTMD system, the peak displacement, peak acceleration, and peak inter-storey drift were reduced by approximately 60%, 64%, and 78%, respectively, as compared to the uncontrolled structure.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535993","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