Communications in Nonlinear Science and Numerical Simulation最新文献

On computation of Darboux polynomials for full Toda lattice

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-07 DOI: 10.1016/j.cnsns.2025.108815

A.V. Tsiganov

引用次数: 0

Abnormal dynamics in cascading models for time-weighted path optimization

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-06 DOI: 10.1016/j.cnsns.2025.108823

Jianwei Wang, Yiyang Qian, Huize Hu

{"title":"Abnormal dynamics in cascading models for time-weighted path optimization","authors":"Jianwei Wang, Yiyang Qian, Huize Hu","doi":"10.1016/j.cnsns.2025.108823","DOIUrl":"10.1016/j.cnsns.2025.108823","url":null,"abstract":"<div><div>In real traffic networks, route choice preferences tend to prioritize the shortest travel time over the shortest distance. To address this, we propose a cascading failure model that incorporates time dynamics. By introducing the BPR function, our model quantifies edge transmission time, identifies time-optimal paths, and distributes loads proportionally based on edge time weights. Three parameters are introduced to redefine cascading dynamics and evaluate network robustness.Simulations on both artificial and real-world networks reveal several key findings: First, increasing node weights leads to an uneven load distribution, thereby weakening the network’s robustness. Second, the network exhibits both the “capacity paradox” and the “expansion paradox.” The capacity paradox indicates that increasing the capacity of edges can actually reduce network robustness. In networks with loop structures, enlarging edge capacities redirects traffic to critical edges, creating bottlenecks that amplify cascading failures. Similarly, the expansion paradox shows that increasing maximum capacity can destabilize the network by concentrating loads on key edges, which, if overloaded, can trigger widespread failures. These findings challenge the conventional assumptions that enhancing capacity universally improves robustness. Instead, our results emphasize the importance of balancing topological design and load distribution.For practical networks, strategies such as diversifying travel routes and limiting the load on hub nodes prove to be more effective than simply increasing capacity. This work advances cascading failure modeling by integrating time dynamics and provides actionable insights for improving infrastructure resilience.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108823"},"PeriodicalIF":3.4,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791652","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

Neurodynamic optimization algorithm for split equality problems and application to sparse signal recovery

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-06 DOI: 10.1016/j.cnsns.2025.108822

Binghao OuYang , Yong Wang , Xingxing Ju , Weichuang Yu

引用次数: 0

An efficient numerical scheme for two-dimensional nonlinear time fractional Schrödinger equation 二维非线性时间分数薛定谔方程的高效数值方案

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-05 DOI: 10.1016/j.cnsns.2025.108824

Jun Ma , Tao Sun , Hu Chen

引用次数: 0

LRBF-Based energy-conserving time splitting schemes for the 2D Maxwell equations

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-05 DOI: 10.1016/j.cnsns.2025.108813

Rong Gao , Jialin Hong , Linghua Kong , Qi Wu

引用次数: 0

A parameter-robust and decoupled discretization scheme for nonlinear Biot’s model in poroelasticity

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-05 DOI: 10.1016/j.cnsns.2025.108798

Linshuang He , Xi Li , Minfu Feng

{"title":"A parameter-robust and decoupled discretization scheme for nonlinear Biot’s model in poroelasticity","authors":"Linshuang He , Xi Li , Minfu Feng","doi":"10.1016/j.cnsns.2025.108798","DOIUrl":"10.1016/j.cnsns.2025.108798","url":null,"abstract":"<div><div>We present a new robust and decoupled scheme for Biot’s model with displacement-dependent nonlinear permeability. The scheme combines a low-order H(div)-conforming element pair <span><math><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>⊕</mo><msub><mrow><mi>RT</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>−</mo><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></math></span> approximation with a first-order semi-explicit time discretization. Two stabilization terms are incorporated into the modified conforming-like formulation to achieve the scheme’s stability. One term penalizes the nonconformity of the H(div)-conforming component, and the other stabilizes pressure oscillations. The constructed scheme sequentially solves the displacement and pressure, which naturally linearizes the nonlinear terms without additional internal iterations, thus enhancing the computational efficiency. We improve the weak coupling condition and then prove optimal convergence in space and time under this condition. Meanwhile, our scheme provides robust solutions that do not suffer from volumetric locking as the Lamé coefficient tends to infinity and spurious pressure oscillations as the constrained specific storage coefficient and the permeability or time step go to zero. Finally, we verify these theoretical results with several numerical examples of nonlinear displacement–permeability relationships.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108798"},"PeriodicalIF":3.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786227","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

Sampled-data stabilization of Markovian jumping conic-type nonlinear systems via an augmented looped functional

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-04 DOI: 10.1016/j.cnsns.2025.108814

Hao Shen , Wen-Juan Lin , Zhi Lian

{"title":"Sampled-data stabilization of Markovian jumping conic-type nonlinear systems via an augmented looped functional","authors":"Hao Shen , Wen-Juan Lin , Zhi Lian","doi":"10.1016/j.cnsns.2025.108814","DOIUrl":"10.1016/j.cnsns.2025.108814","url":null,"abstract":"<div><div>This paper addresses the growing concern of stability analysis and controller design in Markovian jumping conic-type nonlinear systems, particularly in light of their increasing applications in various fields such as the optimization and motor device control systems, making the understanding of time-varying delays crucial. Utilizing variable-period mode-dependent sampled-data control, an augmented looped Lyapunov–Krasovskii (L–K) functional is constructed to accurately capture the impacts of sampling intervals and time-varying delays on system stability. The introduction of an augmented term leads to a non-convex cross-quadratic term in the derivative of the looped functional. To manage this complexity, a novel matrix inequality is proposed to effectively bound this non-convex term. By employing the free-weighting matrices method alongside the second-order canonical Bessel–Legendre inequality, sufficient conditions for system stabilization are derived, accommodating a broader range of time-varying delays and sampling intervals in the form of linear matrix inequalities (LMIs), which facilitate the determination of controller gains. Finally, a simulation of a time-delayed Chua’s circuit is presented to validate the effectiveness of these findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108814"},"PeriodicalIF":3.4,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799895","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 high-dimensional flutter analyses of variable stiffness porous sandwich conical shells

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108826

Z.Q. Wang , S.W. Yang , Y.X. Hao , W. Zhang , Y. Niu

{"title":"Nonlinear high-dimensional flutter analyses of variable stiffness porous sandwich conical shells","authors":"Z.Q. Wang , S.W. Yang , Y.X. Hao , W. Zhang , Y. Niu","doi":"10.1016/j.cnsns.2025.108826","DOIUrl":"10.1016/j.cnsns.2025.108826","url":null,"abstract":"<div><div>In this work, the nonlinear flutter characteristics of the truncated porous sandwich conical shell with variable stiffness under simply supported boundary, which is placed in the thermal environment and supersonic flow, are explored. The sandwich variable stiffness conical shell is constructed of two carbon fiber surface sheets and a porous core with aluminum foam, which has the exponential variable thickness along the longitudinal direction and five various styles of porosity distribution schemes along the thickness direction. The supersonic aerodynamic pressure is presented by utilizing the first-order piston theory considering the curvature effect. By means of the first-order shear deformation theory (FSDT), Hamilton's principle and Galerkin technique, the high-dimensional nonlinear variable stiffness second-order ordinary differential equations of motion are derived. The critical flutter points can be determined and flutter boundaries can be examined by addressing the linear eigenvalue problem. By applying the fourth-order Runge-Kutta approach, the influences of the exponent of thickness function, porosity distribution pattern, porosity coefficient, semi-vertex angle, temperature increment, total number of layers, fiber orientation angle, the core layer's minimum radius-thickness ratio and length-thickness ratio, on nonlinear flutter behaviors are analyzed in depth. The results reveal that the porous varying thickness sandwich conical shell with Style-O distribution and 0° fiber orientation angle is a better choice for high stability against flutter, and linear flutter analysis can be chosen to explore the flutter boundary by further comparison.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108826"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791657","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 model of air spring based McKibben pneumatic artificial muscle

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108829

V.C. Trinh , N.Y.P. Vo , T.T. Luu , T.D. Le

{"title":"Dynamic model of air spring based McKibben pneumatic artificial muscle","authors":"V.C. Trinh , N.Y.P. Vo , T.T. Luu , T.D. Le","doi":"10.1016/j.cnsns.2025.108829","DOIUrl":"10.1016/j.cnsns.2025.108829","url":null,"abstract":"<div><div>It is necessary to have an accurate nonlinear dynamic model for purpose of design of optimization of systems constructed by pneumatic artificial muscles (PAM) based on McKibben structure. Hence, this paper will develop an accurate dynamic model of PAM. As known, PAM tube is made of the rubber and it is also reinforced by metal fibers wrapping around the tube. In order to study comprehensively, the prediction model will consider the effects of the thermodynamic of air inside PAM, simultaneously the effects of friction between fibers and rubber, and viscoelasticity of the PAM tube material are taken account into. Firstly, the structure parameters of the proposed model comprising the effectiveness volume and its rates will be attained through geometrical analysis and experimental evaluation. Then, the effects of friction and viscoelasticity of the PAM tube on the hysteresis dynamic response of PAM will be also taken into account through proposing the hysteresis dynamic model including a fractional Maxwell model parallel with smooth friction model. From dynamic analysis, the dynamic stiffness model is attained and analyzed in domain frequency comprising the storage stiffness and loss stiffness. Finally, comparison between the proposed model and experimental results is realized subjected to harmonic displacement excitation. The results proved the effectiveness of the proposed model. The studied finding is useful insight into applications of PAM in vibration isolator as well as other engineering purposes.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108829"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799894","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

Impact of network heterogeneity on neuronal synchronization

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108810

Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán

{"title":"Impact of network heterogeneity on neuronal synchronization","authors":"Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán","doi":"10.1016/j.cnsns.2025.108810","DOIUrl":"10.1016/j.cnsns.2025.108810","url":null,"abstract":"<div><div>Synchronization dynamics is a phenomenon of great interest in many fields of science. One of the most important fields is neuron dynamics, as synchronization in certain regions of the brain is related to some of the most common mental illnesses. To study the impact of the network heterogeneity in the neuronal synchronization, we analyze a small-world network of non-identical Chialvo neurons that are electrically coupled. We introduce a mismatch in one of the model parameters to introduce the heterogeneity of the network. Our study examines the effects of this parameter mismatch, the noise intensity in the stochastic model, and the coupling strength between neurons on synchronization and firing frequency. We have identified critical values of noise intensity, parameter mismatch, and rewiring probability that facilitate effective synchronization within the network. Furthermore, we observe that the balance between excitatory and inhibitory connections plays a crucial role in achieving global synchronization. Our findings offer insights into the mechanisms driving synchronization dynamics in complex neuron networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108810"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769340","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