Communications in Nonlinear Science and Numerical Simulation最新文献

Singular perturbations of a class of elliptic variational–hemivariational inequalities without monotonicity 一类无单调的椭圆变分-半变分不等式的奇异摄动

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-29 DOI: 10.1016/j.cnsns.2025.108868

Jinxia Cen , Stanisław Migórski , Yunyun Wu , Shengda Zeng

{"title":"Singular perturbations of a class of elliptic variational–hemivariational inequalities without monotonicity","authors":"Jinxia Cen , Stanisław Migórski , Yunyun Wu , Shengda Zeng","doi":"10.1016/j.cnsns.2025.108868","DOIUrl":"10.1016/j.cnsns.2025.108868","url":null,"abstract":"<div><div>The aim of this article is to study the singular perturbations for a class of elliptic variational–hemivariational inequalities without strong monotonicity and relaxed monotonicity hypotheses. First, we prove existence of solutions to the original variational–hemivariational inequality under consideration, and its singular perturbation problem by applying an existence theorem for nonlinear equilibrium problems. Then, we provide a convergence result stating that the Kuratowski weak-upper limit of solution sets to singular perturbation problem coincides with the Kuratowski strong-upper limit of solution set to singular perturbation problem, and it is a nonempty subset of the solution set of original variational–hemivariational inequality. The singular perturbation analysis is completely new in the literature. Finally, in order to demonstrate the applicability of the results, an obstacle elliptic inclusion problem with convex subdifferential term, <span><math><mi>p</mi></math></span>-Laplace operator, and generalized Clarke’s subdifferential operator, is studied.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108868"},"PeriodicalIF":3.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886555","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

A direct imaging method for an inverse fluid–solid interaction scattering problem 流固相互作用逆散射问题的直接成像方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-28 DOI: 10.1016/j.cnsns.2025.108869

Tielei Zhu , Zhihao Ge , Bangmin Wu

引用次数: 0

Radial basis function interpolation-multiscale optimized dual-threshold permutation entropy and its application to mechanical fault diagnosis 径向基函数插值-多尺度优化双阈值排列熵及其在机械故障诊断中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-24 DOI: 10.1016/j.cnsns.2025.108904

Yuxing Li, Qiyu Ding, Yingmin Yi, Yiwei Yuan

{"title":"Radial basis function interpolation-multiscale optimized dual-threshold permutation entropy and its application to mechanical fault diagnosis","authors":"Yuxing Li, Qiyu Ding, Yingmin Yi, Yiwei Yuan","doi":"10.1016/j.cnsns.2025.108904","DOIUrl":"10.1016/j.cnsns.2025.108904","url":null,"abstract":"<div><div>Permutation entropy (PE) and multiscale PE (MPE) are effective methods for measuring the complexity of nonlinear signals and have been widely utilized in mechanical fault diagnosis. However, PE neglects the specific differences of amplitude and MPE suffers from information loss at larger scales. To address the limitation of PE, dual-threshold permutation entropy (DPE) is proposed, which exactly characterizes the complexity of nonlinear signals by precise division of permutation patterns to fully take into account the specific differences of amplitude through introducing the double thresholds. Furthermore, optimized DPE (ODPE) is developed to solve the threshold selection issues of DPE and thus improve applicability. To address the issue of MPE, radial basis function interpolation-multiscale ODPE (RIMODPE) is introduced as a multiscale extension of ODPE, which compensate for the loss of information on large scales by employing interpolation-multiscale techniques to supplement more information points. The four sets of synthetic signal experiments verify that compared to permutation entropy, dispersion entropy, sample entropy and fuzzy entropy, ODPE has excellent sensitiveness and robustness, and RIMODPE has superior separability and stability. Two sets of real-signal experiments reveal that mechanical fault diagnosis accuracy of RIMODPE both exceeds 97%, and it maintains reliable performance in diagnosing mechanical faults even with limited sample, which indicates that RIMODPE is well-suited for practical industrial machinery fault diagnosis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108904"},"PeriodicalIF":3.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886539","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

Highly efficient and accurate numerical schemes for the anisotropic phase field crystal models by using the improved scalar auxiliary variable (iSAV) approach 利用改进的标量辅助变量（iSAV）方法求解各向异性相场晶体模型的高效、精确的数值格式

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-24 DOI: 10.1016/j.cnsns.2025.108875

Xiaoli Wang, Zhengguang Liu

引用次数: 0

Convergence and applications of novel FISTA-like algorithms 新型类fista算法的收敛与应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-24 DOI: 10.1016/j.cnsns.2025.108871

Yeyu Zhang , Hongwei Liu , Yan Tang

引用次数: 0

Homogeneous nonlinear event-triggered extended state observers for uncertain MIMO random systems 不确定MIMO随机系统的齐次非线性事件触发扩展状态观测器

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-23 DOI: 10.1016/j.cnsns.2025.108827

Zijian Xiao, Xiaohua Liu, Ze-Hao Wu, Pengyu Zeng, Zhongwen Liang

引用次数: 0

Dynamics of spiral wave chimeras subjected to a local feedback control 局部反馈控制下螺旋波嵌合体的动力学

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-23 DOI: 10.1016/j.cnsns.2025.108859

Yaqi Xue, Guoyong Yuan, Feng Guo, Wenrui Shen

{"title":"Dynamics of spiral wave chimeras subjected to a local feedback control","authors":"Yaqi Xue, Guoyong Yuan, Feng Guo, Wenrui Shen","doi":"10.1016/j.cnsns.2025.108859","DOIUrl":"10.1016/j.cnsns.2025.108859","url":null,"abstract":"<div><div>The response of the spiral wave chimera on the feedback signal from a measuring location is investigated in the three-component reaction–diffusion system with two spatial dimensions. When the feedback gain is small, the feedback forces the incoherent core to follow a circular orbit with finger-shaped bulges, and the circular path exhibits more complex structures with an increases of the time delay. For a large feedback gain, the excitation in front of the wave front causes the disappearance of the spiral arm except for some residual segments, which will be developed into the wave structures with multiple incoherent cores, where one of the cores is located at the measuring point. Four types of dynamical behaviors are identified for an intermediate feedback gain, depending on the time delay, and these behaviors cannot be observed in the local feedback control of normal spiral waves. For the first three types, the spiral chimera will eventually disappear, but through three different processes, including the formation of transient incoherent arcs, the drift of the incoherent core to the boundary along a spiral, and the complex drift with a transient closed path. The fourth type appears for a large time delay, where the incoherent core drifts to the measuring point along a spiral. These results relate to the control of the spiral chimera, where the spiral chimera can be eliminated by the feedback exhibiting the first three dynamical behaviors, and its core can be controlled to the designated location by the feedback exhibiting the fourth dynamical behavior.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108859"},"PeriodicalIF":3.4,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143881429","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

Three implementations of B-differentiable Newton method in solving 3D elastoplastic frictional contact problems and their discussion b -可微牛顿法求解三维弹塑性摩擦接触问题的三种实现及其讨论

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-22 DOI: 10.1016/j.cnsns.2025.108888

Hangduo Gao , Zhiqiang Hu , Zhao Yin , Gao Lin

{"title":"Three implementations of B-differentiable Newton method in solving 3D elastoplastic frictional contact problems and their discussion","authors":"Hangduo Gao , Zhiqiang Hu , Zhao Yin , Gao Lin","doi":"10.1016/j.cnsns.2025.108888","DOIUrl":"10.1016/j.cnsns.2025.108888","url":null,"abstract":"<div><div>In this paper, three implementations of B-differentiable Newton method (BDNM) for solving 3D elastoplastic frictional contact problems are presented. In the first two methods, a nested strategy is employed. The contact equations, which are solely associated with the contact conditions in the normal and tangential directions due to the introduction of the contact flexibility matrix, are expressed as B-differentiable equations. They are solved in the external iteration, or regarded as a sub-step nested within the solution of nonlinear equilibrium equations, leading to the decoupling of the calculations for nonlinear equilibrium equations and contact forces. In the third method, both the nonlinear equilibrium equations and contact conditions are expressed as B-differentiable equations simultaneously. Both nodal displacement and contact force are treated as independent variables, solved using BDNM to ensure the global convergence, with a variant of a Jacobian matrix associated with unknowns derived. In the numerical examples, the accuracy of the proposed methods is demonstrated by comparing with the results obtained from ANSYS. The convergence and computational efficiency are investigated through a series of models with varying degrees of freedom (DOFs) and contact node pairs (CNPs). The robustness of the proposed methods is presented by applying them to the analysis of an arch dam with seven transverse joints.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108888"},"PeriodicalIF":3.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873736","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

Calculating SIRD model parameters and Re-susceptibility in Malaysia, Pakistan, India and United Arab Emirates 计算马来西亚、巴基斯坦、印度和阿拉伯联合酋长国的SIRD模式参数和再敏感性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-22 DOI: 10.1016/j.cnsns.2025.108902

Abdul Basit , Jasni Mohamad Zain , Hafiza Zoya Mojahid , Abdul Kadir Jumaat , Nur’Izzati Hamdan , Dilip Kumar Bagal

{"title":"Calculating SIRD model parameters and Re-susceptibility in Malaysia, Pakistan, India and United Arab Emirates","authors":"Abdul Basit , Jasni Mohamad Zain , Hafiza Zoya Mojahid , Abdul Kadir Jumaat , Nur’Izzati Hamdan , Dilip Kumar Bagal","doi":"10.1016/j.cnsns.2025.108902","DOIUrl":"10.1016/j.cnsns.2025.108902","url":null,"abstract":"<div><div>During the dynamic spread of COVID-19 and the looming threat of future pandemics the essential need of precise epidemiological models are indispensable. Key to these algorithms are the estimation of core parameters a pivotal metric indicating pandemic expansion. Yet, existing algorithms often overlook crucial facets such as viral mutations risks. Addressing this gap, we propose an innovative algorithm merging the Susceptible-Infected-Recovered-Dead (SIRD) model with <em>Re</em>-susceptible compartment incorporated by least square method with linear regression approach that ensures the accurate parameter estimation facilitating real-time forecasting. This idea analyzed different countries full lockdown scenario. These incorporation of statistical and mathematical algorithms enhances parameters estimation, forecasting and provides insights into re-susceptibility percentage. The experiments revealed convincing results with the incorporation of statistical and mathematical algorithms enhancing parameter estimation with best R-square values of 0.9902 for country Pakistan exemplifying its vital contribution to pandemic response strategies. Our work offers a vital tool for governments, institutions and individuals grappling with pandemic responded full lockdown policy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108902"},"PeriodicalIF":3.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143881431","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

Quasi-stability criteria for continuous memristive neural networks with interval delays 具有区间延迟的连续记忆神经网络的拟稳定性判据

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-22 DOI: 10.1016/j.cnsns.2025.108857

Youming Xin , Jiaheng Zhang , Zunshui Cheng , Jinde Cao

引用次数: 0