Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Contrast independent partially explicit splitting scheme for semi-linear multiscale wave equations with damping term","authors":"Zhengya Yang,&nbsp;Yating Wang","doi":"10.1016/j.cnsns.2026.109784","DOIUrl":"10.1016/j.cnsns.2026.109784","url":null,"abstract":"<div><div>In this paper, we propose an efficient temporal splitting scheme for semi-linear wave equations with multiscale high contrast coefficient. We employed the central difference scheme to handle the first- and second-order temporal derivatives. Additionally, the nonlinear term is treated explicitly to avoid iterative solving at each time step. To address the multiscale high contrast features, we further introduce a partially explicit temporal splitting scheme. This scheme utilizes the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to construct two multiscale spaces, effectively separating the high contrast component from the background medium. Then the scheme treats implicitly the subspace containing the high contrast and explicitly the other, such that the time step size is independent of the high contrast. We proved energy decrease and stability, providing explicit stability conditions. Finally, serval numerical experiments demonstrated that our proposed algorithm achieves robust performance across varying multiscale parameters.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109784"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047908","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}

{"title":"Dynamic Control of Cantilever Bistable Composites: Theory and Experiment","authors":"Xingping Fan ,&nbsp;Jiaying Zhang","doi":"10.1016/j.cnsns.2026.110284","DOIUrl":"10.1016/j.cnsns.2026.110284","url":null,"abstract":"<div><div>Bistable composite laminates, capable of maintaining two stable configurations without continuous energy input, are promising candidates for morphing aerospace structures. This study investigates the nonlinear dynamic behavior of cantilevered bistable composite plates and proposes a resonance-based actuation strategy for efficient configuration switching. A nonlinear dynamic model is developed based on Hamilton’s principle and the Rayleigh–Ritz method to accurately model nonlinear dynamic behavior of bistable plates. The dynamic characteristics under varying excitation amplitudes are analyzed through bifurcation diagrams, time histories, phase portraits, and Poincaré maps, revealing the evolution from periodic oscillations to period-doubling bifurcations, chaotic motion, and eventually snap-through. As the excitation frequency approaches the modal frequency, the vibration amplitude increases significantly. When the excitation amplitude exceeds a critical threshold, snap-through occurs, accompanied by the structure switching from one stable state to another. The theoretical predictions show good agreement with the experimental observations. The proposed resonance-based strategy enables rapid and energy-efficient configuration switching, providing practical insights for morphing structure design.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"162 ","pages":"Article 110284"},"PeriodicalIF":3.8,"publicationDate":"2026-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148171190","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}

{"title":"Agglomerating aerosols on dual-source airborne acoustic playgrounds: Derivation of particle entrainment dynamics and orthokinetic kernels","authors":"Pengzhan Liu ,&nbsp;Guangjian Wang ,&nbsp;Bing Feng Ng","doi":"10.1016/j.cnsns.2026.110278","DOIUrl":"10.1016/j.cnsns.2026.110278","url":null,"abstract":"<div><div>Acoustic agglomeration (AA), which primarily harnesses the difference in the sound-induced nonlinear oscillation dynamics among different sized particles to enable particle agglomeration, is a significant technology for aerosol particle conditioning to facilitate air sustainability and carbon neutrality. Most existing studies in this field have been focusing on the employment of single sound sources for AA, while few have considered the impact of using multiple sound sources through splitting constant acoustic energy and the resultant AA performance. Here, from the fundamental perspective of particle entrainment dynamics under two forms of dual-source acoustic playgrounds, we establish and resolve the particle oscillation models under parallelly and orthogonally arranged dual waves through theoretical modeling and numerical simulations. Furthermore, the orthokinetic agglomeration behaviors and the corresponding kernels under the dual-source frameworks, especially for the orthogonal configuration, are analytically derived and mathematically achieved. Results show that an orthogonal source arrangement generally enables improved AA performance compared with a single operating source. This study innovatively expands the dimension of AA from the traditional 1D regime to a 2D planar regime, not only providing optimization guidelines for AA performance but also offering valuable theoretical insights for high-dimensional multisource enabled AA studies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"162 ","pages":"Article 110278"},"PeriodicalIF":3.8,"publicationDate":"2026-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148171287","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}

{"title":"Finite-time quasi-synchronization of memristive neural networks under quantized intermittent event-triggered control","authors":"Dingxiang Wang ,&nbsp;Xu Zeng ,&nbsp;Chao Zhou ,&nbsp;Leyuan Wu","doi":"10.1016/j.cnsns.2026.109741","DOIUrl":"10.1016/j.cnsns.2026.109741","url":null,"abstract":"<div><div>Memristive neural networks (MNNs) have attracted attracted considerable research interest owing to their potential applications in areas such as image encryption and secure transmission, where synchronization signals are exchanged through digital communication channels. Consequently, reducing communication load and mitigating the quantization effects inherent in digital transmission are essential for ensuring reliable synchronization performance. Motivated by these challenges, this study proposed a quantized intermittent event-triggered control scheme and investigated a novel type of synchronization model—finite-time quasi-synchronization for MNNs. First, an inhomogeneous differential inequality was established as a general lemma that is used to address the finite-time quasi-synchronization problem. Subsequently, considering resource-constrained digital communication systems, a quantized intermittent event-triggered control mechanism was developed to minimize redundant transmissions and alleviate errors caused by signal quantization. By integrating the proposed differential inequality with Lyapunov stability theory, sufficient conditions were derived to guarantee finite-time quasi-synchronization of MNNs. Explicit expressions for the synchronization error bound and the settling time are also obtained. Based on these results, an optimization framework was formulated to analyze and enhance synchronization performance. Finally, numerical simulations validated the effectiveness of the proposed approach and confirmed the theoretical analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109741"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957220","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}

{"title":"Novel event-triggered finite/fixed-time cluster synchronization of coupled reaction-diffusion neural networks under mixed cyber-attacks","authors":"Lanfeng Hua ,&nbsp;Qishui Zhong ,&nbsp;Sheng Han ,&nbsp;Oh-Min Kwon ,&nbsp;Kaibo Shi ,&nbsp;Huaicheng Yan","doi":"10.1016/j.cnsns.2026.109684","DOIUrl":"10.1016/j.cnsns.2026.109684","url":null,"abstract":"<div><div>This paper addresses the event-triggered fixed-time cluster synchronization of coupled reaction-diffusion neural networks under mixed cyber-attacks. First, some improved Lyapunov-based criteria for fixed-time stability are derived, offering a less conservative upper-bound estimate of the settling time. A novel event-triggering mechanism with a time-varying threshold is then introduced, and a security-based cluster synchronization scheme is developed based on this mechanism. By leveraging the piecewise Lyapunov function approach and hybrid systems analysis methods, we establish sufficient conditions to ensure fixed-time synchronization between follower nodes with interacting clusters and target nodes, even in the presence of mixed cyber-attacks. Moreover, this paper quantifies the relationship between mixed cyber-attacks and the convergence rate of the synchronization strategy. The effectiveness of the proposed approach is validated through comprehensive simulations and experiments, demonstrating its superiority over existing fixed-time stability strategy and event-triggered synchronization protocol.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109684"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957186","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}

{"title":"Influence of thermal tuning and graded thickness for sound transmission loss in functionally graded plates based on Galerkin method","authors":"Qingzhe Wu ,&nbsp;Kamran Asemi","doi":"10.1016/j.cnsns.2026.109661","DOIUrl":"10.1016/j.cnsns.2026.109661","url":null,"abstract":"<div><div>Functionally graded plates with varying thickness have vast practical uses in engineering applications, including aeronautical, mechanical, and ocean construction, with the goal of reducing the weight of structures. A theoretical model is constructed in this paper utilizing the first-order shear deformation theory to estimate sound transmission loss through a functionally graded plate of linearly or parabolically varying thickness under clamped and simply supported boundary conditions and subjected to the thermal environment. The functionally graded plate is composed of a ceramic-metal mixture (e.g., Si₃N₄ and SUS304), with effective properties such as Young's modulus, density, and thermal expansion coefficient varying continuously through the thickness via a power-law function, incorporating temperature dependency modeled by polynomial expressions. The three different temperature profiles over the variable thickness of the plate are considered to be uniform, harmonic non-uniform, and nonlinear. The normal velocity continuity conditions, sound velocity potential, and Hamilton's principle are used to create coupled vibroacoustic equations, which are then solved using the weighted residual (Galerkin) approach. By comparing the generated solution to other data from previous studies and COMSOL Multiphysics® finite element simulations, its accuracy and precision are evaluated. A range of factors, including the bidirectional and unidirectional taper constants, gradient index, temperature distribution, boundary conditions, and incidence angles, are studied numerically to show how they affect the sound transmission loss. This study's novelty stems from its innovative combination of graded thickness changes (linear and parabolic) with temperature-dependent power-law material characteristics and various thermal profiles (uniform, harmonic non-uniform, and nonlinear) to predict stress and thermal loading in functionally graded plates. The primary contributions consist of a verified Galerkin-based vibroacoustic framework that uncovers hitherto unexamined effects of thermal tuning on acoustic performance, providing novel design insights for lightweight, thermally robust structures in engineering applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109661"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079503","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}

{"title":"A multi-strategy strong noise three-way decision originating from double-parameter multi-granularity variable precision fuzzy rough sets","authors":"Wenjie Jiang,&nbsp;Lingqiang Li","doi":"10.1016/j.cnsns.2026.109759","DOIUrl":"10.1016/j.cnsns.2026.109759","url":null,"abstract":"<div><div>To address the challenge of handling complex uncertainty problems faced by single variable precision fuzzy rough set (VPFRS), this paper introduces a new model of double-parameter VPFRS and constructs a new Three-way decision (TWD) model based on it. Firstly, considering the misclassification rate parameter and the fuzzy relation cut-level parameter, we introduce a new double-parameter VPFRS model as well as its multi-granularity extension. The new model uses overlap and grouping functions as the logical value domain of fuzzy sets, which enables the model to have strong interpretability and excellent mathematical properties. In addition, the two parameters in the model can better reduce the interference of noise data, and multi-granularity can reflect multi-strategy. Secondly, we integrate the proposed multi-granularity double-parameter VPFRS model with the technique for order preference by similarity to an ideal solution (TOPSIS) method to construct a TWD with noise reduction and multi-strategy. Finally, we apply this new method to the risk assessment of pregnant health (<span><span>https://archive.ics.uci.edu/dataset/863/pregnant+health+risk</span><svg><path></path></svg></span>). The effectiveness, stability and reliability of the TWD are verified through parameter analysis, comparative experiments, ordered similarity experiment. The experimental results show that our TWD method can accurately classify 376 pregnant women in the dataset into three categories: positive class (high risk), negative class (low risk), and boundary class (medium risk), and the overall classification accuracy with overlap functions and grouping functions can reach 98.4%, which is 3.5% higher than that with traditional methods. Meanwhile, our method can rank the pregnant women according to their risk levels for disease, thereby providing a scientific basis for determining the priority order of treatment.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109759"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146000863","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}

{"title":"Robust iterative learning predictive asynchronous switching control with disturbance input for multi-phase batch processes","authors":"Wei Xiang ,&nbsp;Huiyuan Shi ,&nbsp;Hui Li ,&nbsp;Yunfei Mu ,&nbsp;Chengli Su ,&nbsp;Ping Li","doi":"10.1016/j.cnsns.2026.109719","DOIUrl":"10.1016/j.cnsns.2026.109719","url":null,"abstract":"<div><div>Aiming at a series of multi-phase batch processes with unknown disturbances and asynchronous switching, a two-dimensional robust iterative learning predictive asynchronous switching control with disturbance input is proposed. In contrast to previous robust control methods for handling disturbances, disturbances are converted into a max-min optimization problem by leveraging the established max-min performance index in this study. Based on this, a control law for disturbance inputs is designed, which enables the system to remain stable even when subjected to significant disturbances. Moreover, compared with the traditional iterative learning control methods, the real-time optimized gains of the control laws observably reduce the learning time and make the control process more precise and efficient. Simultaneously, by conducting the exponential stability analysis of the system, the matching switching period and the delay time period are obtained, which allows for the provision of advanced switching signals to avoid asynchronous switching scenarios. Furthermore, a robustness analysis method is proposed for the system operating under adverse conditions, and a robust stability criterion is provided to ensure the robustness of the system. The injection molding process is implemented as a research object to validate the practicality and efficacy of the devised approach.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109719"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982098","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}

{"title":"Free vibrations, resonant responses, and nonlinear dynamics of a supersonic axially moving functionally graded three-phase composite truncated conical shell","authors":"Yan Zheng ,&nbsp;Jinqiu Duan ,&nbsp;Tao Liu ,&nbsp;Yifeng Li","doi":"10.1016/j.cnsns.2026.109655","DOIUrl":"10.1016/j.cnsns.2026.109655","url":null,"abstract":"<div><div>A novel supersonic axially moving functionally graded three-phase composite truncated conical shell structure is introduced. This composite consists of three components: epoxy resin matrix, carbon fiber, and graphene nano platelets (GNPs). The objective of this study is to identify the physical parameters and establish a nonlinear dynamic model to conduct a comprehensive analysis of free vibrations, resonant responses, and nonlinear dynamic behaviors. The equivalent elastic properties of the composites are calculated using the Halpin-Tsai model and the Mori-Tanaka method. Based on the first-order shear deformation theory and Hamilton's principle, the nonlinear dynamic model is established, incorporating external excitation and aerodynamic force. This research investigates the effects of the GNPs mass fraction, functionally graded form (such as X-type and O-type), carbon fiber content, layup angle, and the semi-vertex angle on the free vibrations of the three-phase composite truncated conical shell. Significantly, even a minor addition of GNPs can yield a profound effect, resulting in an increase of the first-order frequency by as much as 75.69%. Considering the case of 1:1 internal resonance, the effects of external excitation and aerodynamic force on the nonlinear resonant responses of the truncated conical shell are discussed in depth. Additionally, it examines the nonlinear dynamic characteristics under varying amplitudes of external excitation. The findings offer valuable insights for design optimization and serve to enhance the performance of advanced composite structures.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109655"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039463","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}

{"title":"Implicit-explicit time discretization with complex time for parabolic equations","authors":"Henghui Tang,&nbsp;Daopeng Yin,&nbsp;Xiaohao Zhang,&nbsp;Liquan Mei","doi":"10.1016/j.cnsns.2026.109743","DOIUrl":"10.1016/j.cnsns.2026.109743","url":null,"abstract":"<div><div>This paper presents a novel high-order time discretization scheme on the time complex plane for parabolic equations. The innovation of this method lies in its ability to straightforwardly construct temporal discretization schemes of arbitrary order while achieving stability comparable to explicit Runge-Kutta methods, and simultaneously enhancing computational efficiency without compromising stability. By employing a matrix construction method, we unify the characterization of the stability region for both ordinary differential equations and partial differential equations. We prove the <em>L</em>² stability and arbitrary-order convergence of the method. Numerical experiments demonstrate that, compared to explicit Runge-Kutta methods, the proposed scheme improves computational efficiency. This method offers an efficient and accurate solution for applications with stringent precision.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109743"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982096","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}