Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Multilayer heterostructure power-law inhomogeneous model for the functionally graded cylinders and annular disks with rotation effect for arbitrarily material property with the parametric uncertainty","authors":"Hui Li ,&nbsp;Jun Xie ,&nbsp;Wenshuai Wang ,&nbsp;Xing Li ,&nbsp;Pengpeng Shi","doi":"10.1016/j.cnsns.2025.108689","DOIUrl":"10.1016/j.cnsns.2025.108689","url":null,"abstract":"<div><div>This study comprehensively investigates the influence of the rotation effect on the elastic field of functionally graded (FG) hollow cylinders and annular disks with considering uncertainty and fluctuation in material parameters. The multilayer heterostructure power-law inhomogeneous (MHPI) model is introduced, where the radial change in Young's modulus and density are approximated by multiple sublayers with power-law functionally graded materials (FGMs). The analytical solutions for rotating FG hollow cylinders and annular disks are derived by considering continuity between the layers and six different boundary conditions. Numerical examples are conducted using various classical gradient assumptions, including property profile gradient models (power, linear, and exponential laws, etc.) and the volume fractional gradient model (volume fractional gradient and homogenization schemes). Comparison of the MHPI model with the finite difference method (FDM) and the multilayer heterostructure homogeneous (MHH) model demonstrates its validity. Additionally, the study analyzes the impact of the gradient parameter, rotation effect, and elastic foundation effect on the elastic field of rotating FG hollow cylinders and annular disks. The results show that the MHPI model effectively overcomes the oscillation problem of the circumferential stress calculated by the MHH model, and the accuracy is very high, with an error of about 5‰ in the case of the number of sublayers <em>N</em> = 10. The solution of the problem for different boundary conditions such as stress-free or displacement-fixed can be obtained by adjusting the elastic foundation parameters. In addition, based on the reliable and efficient MHPI model, how the uncertainties in the material parameters <em>E</em> and <em>ρ</em> affect the mechanical response of rotating FG hollow cylinders and annular disks is analyzed, which contributes to a deeper understanding of their mechanical behavior.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108689"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143463313","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 and fixed time synchronization of multi-link complex-valued complex networks with time delay via hybrid control","authors":"Jie Wei,&nbsp;Zhihuan Chen","doi":"10.1016/j.cnsns.2025.108678","DOIUrl":"10.1016/j.cnsns.2025.108678","url":null,"abstract":"<div><div>This paper investigates the problem of finite and fixed time synchronization for multi-link complex-valued complex networks (MLCCNs) with time delay. In contrast to the existing works, the finite and fixed time synchronization of MLCCNs is conducted in the complex field, which is more general. In order to reduce the control costs, two hybrid control strategies, with finite time and fixed time, are proposed to address the synchronization process of MLCCNs. Based on the Lyapunov stability theory as well as inequality technique of complex field, sufficient criteria are established by theoretical proof. Numerical simulations are presented to validate the effectiveness and superiority of the proposed theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108678"},"PeriodicalIF":3.4,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143444749","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 hybrid energy harvester with bistable mechanism based on flapping-wing structure","authors":"Jiwen Fang,&nbsp;Mingwei Jiang,&nbsp;Bo Fan,&nbsp;Chong Li,&nbsp;Jiang Shao","doi":"10.1016/j.cnsns.2025.108705","DOIUrl":"10.1016/j.cnsns.2025.108705","url":null,"abstract":"<div><div>The utilization of low-frequency vibrations distributed in nature to provide energy supply for microelectronic devices has drawn greater attention. Based on the principle of flapping wings of insects, a bionic flapping wing bistable energy harvester (BFBEH) for low-frequency vibration is proposed by using a symmetrical flexible cantilever beam mounted with piezoelectric fibers to simulate the wings of insects, and the lifting and lowering motions of the center unit constructed by a magnetic inductor coil and a levitating magnet to simulate the muscle motions of insects. In consideration of broadening the energy harvesting frequency band, nonlinear magnetic force is introduced to realize bistability. When excited by vibration, the magnetic induction coil and the suspended magnet generate relative motion to realize electromagnetic energy harvesting, while the cantilever beam unit connected to the induction coil frame realizes piezoelectric energy harvesting. In particular, the coupling of a permanent magnet as a mass block at the end of the cantilever beam with a fixed steady state magnet can construct the bistable characteristics of the flapping wing. Theoretical modeling of the bionic energy harvester is established. The focus is on the theoretical modeling of the bistable mechanism and the numerical simulation of its potential energy. The electromagnetic simulation results show that the structure has an effective energy harvesting capability in a low frequency environment. An experimental system is set up to analyze the effects of excitation frequency, limit height, and the number of permanent magnet groups at the end of the flexible cantilever beam on the output performance of the bistable energy harvesting device. The experimental results show that the excitation frequency, limit height, and magnetically coupled bistable mechanism have a large influence on the output power of the collector, and the output power of the BFBEH under low-frequency vibration is greater than 0 .2W.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108705"},"PeriodicalIF":3.4,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429370","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 response and chaos analysis of a spatial multi-body system with multiple clearance joints and a flexible component","authors":"Hongwei Zhang ,&nbsp;Zhong Luo ,&nbsp;Sibo Yao ,&nbsp;Chunyang Xu ,&nbsp;Haiyang Ji ,&nbsp;Lei Li","doi":"10.1016/j.cnsns.2025.108699","DOIUrl":"10.1016/j.cnsns.2025.108699","url":null,"abstract":"<div><div>The clearance joints and flexible components are crucial factors influencing the dynamic characteristics of mechanisms. Previous studies mainly focus on the dynamic response of simple mechanisms, with limited research on the dynamics analysis and chaotic behavior of complex spatial multi-body systems. To study the dynamic response of the Variable Stator Vane (VSV) mechanism, a nonlinear dynamic model considering clearance joints and a flexible component is established based on the Lagrange multiplier method and the Absolute Nodal Coordinate Formulation (ANCF) method. An adaptive step-size solution algorithm is proposed to address the low efficiency of dynamic calculation for multi-clearance mechanisms. The influences of different joint clearance positions, clearance quantities, and sizes, driving speeds and modes, as well as flexible components on the mechanism dynamic characteristics including motion response, driving force, and joint contact force, are investigated. Chaos phenomena are analyzed using phase diagrams, Poincaré maps, and bifurcation diagrams. The results indicate that the mechanism exhibits varying sensitivities to clearance positions. Increasing the number or size of clearances, or using higher driving speeds, all contribute to decreasing the precision and stability of the mechanism, leading it towards chaotic behavior. The flexible component can mitigate the influence of joint clearances, which is beneficial for enhancing the stability of the mechanism and reducing costs.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108699"},"PeriodicalIF":3.4,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454753","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":"Spurious mode identification method under a variable spacing finite difference framework for the stability equation based on the Boltzmann-BGK model","authors":"Zongyang Li ,&nbsp;Lin Bi ,&nbsp;He Gao ,&nbsp;Hao Wang ,&nbsp;Qiang Ma","doi":"10.1016/j.cnsns.2025.108682","DOIUrl":"10.1016/j.cnsns.2025.108682","url":null,"abstract":"<div><div>The theory of rarefied flow stability analysis provides essential theoretical support for predicting high-altitude transitions in aircraft and enhancing the performance of micro-electro mechanical systems (MEMS), offering significant scientific and engineering value. This paper introduces a linear stability analysis method based on a finite difference method of the Boltzmann-BGK model, applicable to flows ranging from rarefied to continuous. The method demonstrates high computational efficiency, achieving nearly threefold improvement over spectral method commonly used in stability analysis. As gas rarefaction increases, the efficiency gains become more pronounced. However, spurious spectra may emerge when calculating eigenvalues with finite difference methods. Stability analysis of rarefied Couette flow over a flat plate reveals that increasing the finite difference method's order or modifying the spatial grid point distribution can quickly identify spurious modes. Aligning the grid distribution with the actual physical flow also enhances computational accuracy. Consequently, this difference method can provide high-quality computational results for high Mach number or strongly non-equilibrium flows.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108682"},"PeriodicalIF":3.4,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143463312","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":"Consumption and portfolio optimization solvable problems with recursive preferences","authors":"Jian-hao Kang ,&nbsp;Zhun Gou ,&nbsp;Nan-jing Huang","doi":"10.1016/j.cnsns.2025.108675","DOIUrl":"10.1016/j.cnsns.2025.108675","url":null,"abstract":"<div><div>This paper considers the consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions, in which the financial market consists of a risk-free asset and a risky asset following a general stochastic volatility process. By using Bellman’s dynamic programming principle, the Hamilton–Jacobi–Bellman (HJB) equation is derived for characterizing the optimal consumption–investment strategy and the corresponding value function. Based on the conjecture of the exponential-polynomial form of the value function under mild conditions, we prove that, when the order of the polynomial <span><math><mrow><mi>n</mi><mo>≤</mo><mn>2</mn></mrow></math></span>, the HJB equation has an analytical solution if the investor with unit elasticity of intertemporal substitution and an approximate solution by the log-linear approximation method otherwise. We also prove that the HJB equation has no solutions under the conjecture of the exponential-polynomial form of the value function when the order of the polynomial <span><math><mrow><mi>n</mi><mo>&gt;</mo><mn>2</mn></mrow></math></span>. Finally, the optimal consumption–portfolio strategies to Heston’s model are provided and some numerical experiments are given to illustrate the behavior of the optimal consumption–portfolio strategies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108675"},"PeriodicalIF":3.4,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429369","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":"Bifurcation and stability analysis of cognitive populations in toxic environments","authors":"Xinyu Bo,&nbsp;Cheng Chu,&nbsp;Wenjun Liu,&nbsp;Guangying Lv,&nbsp;Xuebing Zhang","doi":"10.1016/j.cnsns.2025.108674","DOIUrl":"10.1016/j.cnsns.2025.108674","url":null,"abstract":"<div><div>This paper focuses on the dynamic behavior of a single-species model with two cognitive perceptual functions in a toxic environment, to simulate the different responses of fish to environmental changes. We first performed a spectral analysis of the model to obtain an eigenvalue problem for the stability of the constant steady state solution of the model. Then, Turing bifurcation analysis and Hopf bifurcation analysis for linear and nonlinear perceptual function models are studied. The results show that the model with linear perceptual function exhibit both kinds of bifurcations, but the model with nonlinear perceptual function only exhibits Turing bifurcations, which is novel in the field of biological mathematics. In view of biology point, the nonlinear perception function suggests that fish individuals share information among themselves and update their memories, whereas the linear perception function does not share this characteristic. Numerical simulations verify our analysis results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108674"},"PeriodicalIF":3.4,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429367","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":"An efficient computational method for simulating incompressible fluid flows on a virtual cubic surface","authors":"Junxiang Yang ,&nbsp;Seungyoon Kang ,&nbsp;Sangkwon Kim ,&nbsp;Youngjin Hwang ,&nbsp;Soobin Kwak ,&nbsp;Seokjun Ham ,&nbsp;Junseok Kim","doi":"10.1016/j.cnsns.2025.108676","DOIUrl":"10.1016/j.cnsns.2025.108676","url":null,"abstract":"<div><div>We propose an efficient computational algorithm for simulating incompressible fluid flows on a virtual cubic surface. By neglecting the influence of gravitational force, we effectively eliminate its impact on the system. Therefore, the dynamics can be characterized as essentially two-dimensional (2D) and confined to a plane. A projection method and a finite difference method (FDM) are used to numerically solve the Navier–Stokes (NS) equations governing the fluid flow. In the projection method, we need to solve the Poisson equation for the pressure field, which is effectively solved using a multigrid method. The multigrid method is a powerful computational approach that optimizes the solution process by using a hierarchical grid structure. The multigrid method allows efficient and accurate calculations of pressure values and increases the overall simulation accuracy and performance. The effectiveness of the proposed numerical algorithm is demonstrated through computational results of the shear flow and multi-vortex problems on a virtual cubic surface. These computational results validate the reliability and efficiency of the proposed approach, and therefore demonstrate its potential to contribute significantly to the field of computational analysis in fluid dynamics on a virtual cubic surface.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108676"},"PeriodicalIF":3.4,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429365","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":"Competitive influence maximization in voter dynamics: The role of timing and network heterogeneity","authors":"Zhongqi Cai ,&nbsp;Enrico Gerding ,&nbsp;Markus Brede","doi":"10.1016/j.cnsns.2025.108670","DOIUrl":"10.1016/j.cnsns.2025.108670","url":null,"abstract":"<div><div>In the study of influence maximization, most existing research often assumes a one-off resource allocation at the start of a competition. As a result, they overlook the benefits of dynamic, time-sensitive strategies. To overcome this limitation, we propose a novel approach using inter-temporal allocations within a non-progressive voter model to optimize the timing and distribution of limited resources for maximizing opinion spread. Our objective is twofold: (i) to provide understanding of patterns of opinion spread in complex networks subject to inter-temporal control, and (ii) to use insights from (i) to develop optimization strategies that balance resource constraints and temporal dynamics. Specifically, our study examines two scenarios: a constant-opponent setting and a game-theoretical framework. In the constant-opponent setting, we find that network heterogeneity significantly influences optimal campaign timing, with late initiation benefiting short time horizons in heterogeneous networks and early starts favoring longer horizons. To further enhance this strategy, we introduce a node-specific optimization strategy that outperforms uniform approaches, especially under resource constraints. In the game-theoretical framework, our results reveal that resource-rich controllers tend to start campaigns early, while resource-limited controllers strategically delay to counter their opponent’s advantage. Through analytical approximations and simulations, we provide insights into the temporal dynamics of influence spread. These findings offer practical guidelines for designing effective influence campaigns in competitive and time-sensitive contexts, with applications in marketing, politics, and public health.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108670"},"PeriodicalIF":3.4,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429366","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":"Computation of fixed points in MAX and MIN multi-state networks","authors":"Juan A. Aledo ,&nbsp;Jose P. Llano ,&nbsp;Leila Sharifan ,&nbsp;Jose C. Valverde","doi":"10.1016/j.cnsns.2025.108672","DOIUrl":"10.1016/j.cnsns.2025.108672","url":null,"abstract":"<div><div>In this work, we study the fixed points of multi-state networks over a complement-closed set <span><math><mi>X</mi></math></span>, a wide generalization of Boolean networks and some types of multi-state networks. We particularly focus on MAX (and MIN) multi-state networks, whose corresponding graph is undirected and all self-loop, and where the global evolution operator is induced by a disjunction (or conjunction) of direct and complemented variables, independently of the updating scheme (synchronous, asynchronous or mixed). In this context, we characterize the exact configurations of fixed points and provide the best possible lower and upper bounds for their number analytically. As a corollary, we prove that a Fixed Point Theorem is not possible for non-binary MAX (and MIN) multi-state networks, i.e., when <span><math><mrow><mrow><mo>|</mo><mi>X</mi><mo>|</mo></mrow><mo>&gt;</mo><mn>2</mn></mrow></math></span>.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108672"},"PeriodicalIF":3.4,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471225","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}