Communications in Nonlinear Science and Numerical Simulation最新文献_第9页

Probabilistic solution of non-linear random ship roll motion by data-driven method 用数据驱动法对非线性随机船舶滚动运动进行概率求解

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-29 DOI: 10.1016/j.cnsns.2024.108326

Changshui Feng, Xinhui Nie

引用次数: 0

Input-to-state hybrid impulsive formation stabilization for multi-agent systems with impulse delays 具有脉冲延迟的多代理系统的输入-状态混合脉冲形成稳定化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-29 DOI: 10.1016/j.cnsns.2024.108323

Zhanlue Liang , Xinzhi Liu

{"title":"Input-to-state hybrid impulsive formation stabilization for multi-agent systems with impulse delays","authors":"Zhanlue Liang , Xinzhi Liu","doi":"10.1016/j.cnsns.2024.108323","DOIUrl":"10.1016/j.cnsns.2024.108323","url":null,"abstract":"<div><p>This paper addresses the input-to-state formation stabilization problem of nonlinear multi-agent systems within a hybrid impulsive framework, considering delay-dependent impulses, strong nonlinearity, and deception attack signals. By leveraging Lyapunov functionals, impulsive comparison theory, average impulsive interval methods, and graph theory, we develop novel criteria for possessing locally input-to-state and integral input-to-state formation stabilization across different impulse sequence classes. These criteria are expressed in terms of continuous/impulsive feedback gains, time delay size, nonlinearity strength, uniform upper bound of impulsive interval, and length of average impulsive interval. Notably, the design of control impulses benefit the destabilizing continuous dynamics in the formation stabilization process. To demonstrate the effectiveness and validity of the analytical results, we provide numerical simulation examples involving various types of external attack signals.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005082/pdfft?md5=f838f72652caefb4580a030184600827&pid=1-s2.0-S1007570424005082-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Inertial Halpern-type methods for variational inequality with application to medical image recovery 变分不等式的惯性哈尔帕恩型方法在医学图像复原中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108315

Aisha Aminu Adam , Abubakar Adamu , Abdulkarim Hassan Ibrahim , Dilber Uzun Ozsahin

{"title":"Inertial Halpern-type methods for variational inequality with application to medical image recovery","authors":"Aisha Aminu Adam , Abubakar Adamu , Abdulkarim Hassan Ibrahim , Dilber Uzun Ozsahin","doi":"10.1016/j.cnsns.2024.108315","DOIUrl":"10.1016/j.cnsns.2024.108315","url":null,"abstract":"<div><p>In this paper, we propose inertial Halpern-type algorithms involving a quasi-monotone operator for approximating solutions of variational inequality problems which are fixed points of quasi-nonexpansive mappings in reflexive Banach spaces. We use Bregman distance functions to enhance the efficiency of our algorithms and obtain strong convergence results, even in cases where the Lipschitz constant of the operator involved is unknown a priori. Furthermore, we illustrate the practical applicability of our methods through numerical experiments. Notably, our algorithms excel when compared to recent techniques in the literature. Of particular significance is their successful application in restoring computed tomography medical images that have been affected by motion blur and random noise. Our algorithms consistently outperform established state-of-the-art methods in all conducted experiments, showcasing their competitiveness and potential to advance variational inequality problem-solving, especially in the field of medical image recovery.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097878","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

Predefined-time synchronization of time-varying delay fractional-order Cohen–Grossberg neural network based on memristor 基于忆阻器的时变延迟分数阶科恩-格罗斯伯格神经网络的预定时间同步化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108294

Xinyao Cui , Mingwen Zheng , Yanping Zhang , Manman Yuan , Hui Zhao , Yaoming Zhang

引用次数: 0

Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity 表现出弱初始奇异性的非线性时间分数反应-扩散方程的高阶数值近似值

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108317

Anshima Singh, Sunil Kumar

{"title":"Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity","authors":"Anshima Singh, Sunil Kumar","doi":"10.1016/j.cnsns.2024.108317","DOIUrl":"10.1016/j.cnsns.2024.108317","url":null,"abstract":"<div><p>In the present study, we introduce a high-order non-polynomial spline method designed for non-linear time-fractional reaction–diffusion equations with an initial singularity. The method utilizes the L2-1<span><math><msub><mrow></mrow><mrow><mi>σ</mi></mrow></msub></math></span> scheme on a graded mesh to approximate the Caputo fractional derivative and employs a parametric quintic spline for discretizing the spatial variable. Our approach successfully tackles the impact of the singularity. The obtained non-linear system of equations is solved using an iterative algorithm. We provide the solvability of the novel non-polynomial scheme and prove its stability utilizing the discrete energy method. Moreover, the convergence of the proposed scheme has been established using the discrete energy method in the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> norm. It is proven that the method is convergent of order <span><math><mrow><mo>min</mo><mrow><mo>{</mo><mi>θ</mi><mi>α</mi><mo>,</mo><mn>2</mn><mo>}</mo></mrow></mrow></math></span> in the temporal direction and 4.5 in the spatial direction, where <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> denotes the order of the fractional derivative and the parameter <span><math><mi>θ</mi></math></span> is utilized in the construction of the graded mesh. Finally, we conduct numerical experiments to validate our theoretical findings and to illustrate how the mesh grading influences the convergence order when dealing with a non-smooth solution to the problem.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142088305","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

Extension of Delaunay normalisation for arbitrary powers of the radial distance 德劳内归一化的扩展，适用于任意幂的径向距离

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108322

Ernesto Lanchares, Jesús F. Palacián

{"title":"Extension of Delaunay normalisation for arbitrary powers of the radial distance","authors":"Ernesto Lanchares, Jesús F. Palacián","doi":"10.1016/j.cnsns.2024.108322","DOIUrl":"10.1016/j.cnsns.2024.108322","url":null,"abstract":"<div><p>In the framework of perturbed Keplerian systems we deal with the Delaunay normalisation of a wide class of perturbations such that the radial distance is raised to an arbitrary real number <span><math><mi>γ</mi></math></span>. The averaged function is expressed in terms of the Gauss hypergeometric function <span><math><mrow><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></math></span> whereas the associated generating function is the so called Appell hypergeometric function <span><math><msub><mrow><mi>F</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>. The Gauss hypergeometric function related to the average depends on the eccentricity, <span><math><mi>e</mi></math></span>, whereas the Appell function depends additionally on the eccentric anomaly, <span><math><mi>E</mi></math></span>, and both special functions are properly defined and evaluated for all <span><math><mrow><mi>e</mi><mo>∈</mo><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>E</mi><mo>∈</mo><mrow><mo>[</mo><mo>−</mo><mi>π</mi><mo>,</mo><mi>π</mi><mo>]</mo></mrow></mrow></math></span>. We analyse when the functions we determine can be extended to <span><math><mrow><mi>e</mi><mo>=</mo><mn>1</mn></mrow></math></span>. When the exponent of the radial distance is an integer, the usual values of the averaged and generating functions are recovered.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005070/pdfft?md5=34d290936a857cb2d81ff20a458a095e&pid=1-s2.0-S1007570424005070-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142157488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A high-static-low-dynamic-stiffness delayed resonator vibration absorber 高静态低动态刚度延迟谐振器减震器

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108299

Yifan Liu, Li Cheng

{"title":"A high-static-low-dynamic-stiffness delayed resonator vibration absorber","authors":"Yifan Liu, Li Cheng","doi":"10.1016/j.cnsns.2024.108299","DOIUrl":"10.1016/j.cnsns.2024.108299","url":null,"abstract":"<div><p>Delayed resonator (DR), which enables complete vibration suppression through loop delay tuning, has been extensively investigated as a linear active dynamic vibration absorber since its invention. Besides, the nonlinear high-static-low-dynamic stiffness (HSLDS) has been widely used in vibration isolators for broadband (yet incomplete) vibration reduction. This work combines the benefits of DR and the nonlinear HSLDS characteristics, thus creating a nonlinear DR (NDR). Three unexplored topics are considered: (1). To address the nonlinear dynamics that are made complicated by the introduction of delay and the nonlinearity coupled between the NDR and the primary structure; (2). To tune the control parameters to seek possible complete vibration suppression in the nonlinear case, and accordingly, to determine the operable frequency band; (3). To evaluate how the HSLDS characteristics can enhance the performance of the linear DR (LDR) and how to design an NDR to maximize its benefits. Without loss of generality, a classic nonlinear HSLDS structure with three springs and two links is considered, and mathematical tools and computational algorithms are introduced or proposed to efficiently address theoretical analysis. Using the parameters of an experimental setup, we show that a properly tuned NDR suppresses the vibrations on the primary structure to a sufficiently low level. Besides, the HSLDS characteristics extend the operable frequency band compared with the LDR, while strong nonlinearity limits such extension. The proposed analysis procedures for delay-coupled nonlinear dynamics, alongside the control parameter tuning, determination of operable frequency bands, and structural design rules, establish a basic theoretical framework for the NDR design.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424004842/pdfft?md5=ce58dd0b376ffbdc466a75d4f4a0f181&pid=1-s2.0-S1007570424004842-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142157482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Is maximum tolerated dose (MTD) chemotherapy scheduling optimal for glioblastoma multiforme? 最大耐受剂量（MTD）化疗是否是多形性胶质母细胞瘤的最佳化疗方案？

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108292

Chiu-Yen Kao , Seyyed Abbas Mohammadi , Mohsen Yousefnezhad

引用次数: 0

Dynamical manifold dimensionality as characterization measure of chimera states in bursting neuronal networks 将动态流形维度作为突发性神经元网络中嵌合体状态的表征量度

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-28 DOI: 10.1016/j.cnsns.2024.108321

Olesia Dogonasheva , Daniil Radushev , Boris Gutkin , Denis Zakharov

{"title":"Dynamical manifold dimensionality as characterization measure of chimera states in bursting neuronal networks","authors":"Olesia Dogonasheva , Daniil Radushev , Boris Gutkin , Denis Zakharov","doi":"10.1016/j.cnsns.2024.108321","DOIUrl":"10.1016/j.cnsns.2024.108321","url":null,"abstract":"<div><p>Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly denoted as chimera states. While several methods for detecting chimeras in networks of spiking neurons have been proposed, these are less effective when applied to networks of bursting neurons. In this study, we propose the correlation dimension as a novel approach that can be employed to identify dynamic network states. To assess the viability of this new method, we study networks of intrinsically bursting Hindmarsh–Rose neurons with non-local connections. In comparison to other measures of chimera states, the correlation dimension effectively characterizes chimeras in burst neurons, whether the incoherence arises in spikes or bursts. The generality of dimensionality measures inherent in the correlation dimension renders this approach applicable to a wide range of dynamic systems, thereby facilitating the comparison of simulated and experimental data. This methodology enhances our ability to tune and simulate intricate network processes, ultimately contributing to a deeper understanding of neural dynamics.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005069/pdfft?md5=51087b1c29f40d1a1753d619cce18fa2&pid=1-s2.0-S1007570424005069-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142171844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Two-level Arrow–Hurwicz iteration methods for the steady bio-convection flows 稳定生物对流的两级箭-赫维茨迭代法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-27 DOI: 10.1016/j.cnsns.2024.108318

Yihan Lu, Rong An, Yuan Li

{"title":"Two-level Arrow–Hurwicz iteration methods for the steady bio-convection flows","authors":"Yihan Lu, Rong An, Yuan Li","doi":"10.1016/j.cnsns.2024.108318","DOIUrl":"10.1016/j.cnsns.2024.108318","url":null,"abstract":"<div><p>To avoid solving a saddle-point system, in this paper, we study two-level Arrow–Hurwicz finite element methods for the steady bio-convection flows problem which is coupled by the steady Navier–Stokes equations and the steady advection–diffusion equation. Using the mini element to approximate the velocity, pressure, and the piecewise linear element to approximate the concentration, we use the linearized Arrow–Hurwicz iteration scheme to obtain the coarse mesh solution and use three different one-step Stokes/Oseen/Newton linearized scheme to obtain the fine mesh solution. The optimal error estimate <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>h</mi><mo>+</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>χ</mi></mrow><mrow><mi>m</mi><mo>/</mo><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> of the velocity and concentration in the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm and the pressure in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm are derived, where <span><math><mi>h</mi></math></span> and <span><math><mi>H</mi></math></span> are fine and coarse mesh sizes, respectively, and <span><math><msup><mrow><mi>χ</mi></mrow><mrow><mi>m</mi><mo>/</mo><mn>2</mn></mrow></msup></math></span> denotes the iteration error with <span><math><mrow><mn>0</mn><mo><</mo><mi>χ</mi><mo><</mo><mn>1</mn></mrow></math></span>. Numerical results are given to support the theoretical analysis and confirm the efficiency of the proposed two-level methods.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097778","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