Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Nonlinear vibration analysis of a double-cable beam structure with nonlinear energy sinks","authors":"Houjun Kang, Yifei Wang, Yueyu Zhao","doi":"10.1016/j.cnsns.2024.108529","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108529","url":null,"abstract":"Nonlinear energy sinks (NESs) have received widespread attention due to their broadband vibration absorption ability. This study investigates the vibration suppression of a double-cable beam structure by NES. Firstly, a mechanical model of the double cable-beam-NES structure was established, and the Hamilton principle was used to derive the motion partial differential equation of the double cable-beam-NES structure. The incremental harmonic balance method (IHBM) was employed to analyze the nonlinear dynamic characteristics of the coupled model subjected to external load excitation, and the impact of NES on reducing vibrations in the composite structure was investigated. In addition, the effect of cables' interaction on the response amplitudes of both the cables and the beam was investigated. The results show that in the absence of NES attachment to cable 2, the NES attached to cable 1 does not effectively suppress the response amplitude of cable 2. Compared with the single cable-beam-NES composite structure, the interaction between the cables significantly inhibits the response amplitude of the cable.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"53 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142849501","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":"Adaptive fuzzy command filtered control for asymmetric dynamic constrained nonlinear systems","authors":"Fan Yang, Meng Li, Yong Chen, Zhangyong Chen","doi":"10.1016/j.cnsns.2024.108513","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108513","url":null,"abstract":"In this paper, the issue of tracking control for nonlinear systems under external disturbances and asymmetric states-time-related full-state constraints imposed dynamically is studied. An adaptive fuzzy command filtered control method is developed. Firstly, the nonlinear nonstrict feedback system subjected to unknown disturbances and dynamic full-state constraints is modeled. Then, a fuzzy state observer is framed in order to estimate the unmeasured states accurately. Thirdly, a log-type nonlinear mapping barrier function is presented to map the original system under dynamic constraints to a new affine system without constraints. Furthermore, a command filter based and fuzzy observer based adaptive fuzzy tracking control scheme is designed to guarantee the boundedness of all signals in the closed-loop system. Eventually, two numerical simulations illustrate the effectiveness of the algorithm.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"65 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809071","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":"Nonlinear vortex-induced vibration analysis of a fiber-reinforced composite pipes transporting liquid-gas two-phase flow","authors":"Yu-Xiang Wang, Ye Tang, Tian-Zhi Yang","doi":"10.1016/j.cnsns.2024.108516","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108516","url":null,"abstract":"Nowadays, pipelines are often used in marine engineering to effectively transport oil and natural gas due to their good continuity and high efficiency. However, the unwanted dynamics of the pipelines caused by the interaction between the external environment and internal fluid pipelines may affect their normal operation and service life. In the paper, we present a fiber-reinforced composite pipeline transporting liquid-gas two-phase flow to reduce harmful vibrations and investigate the present system's nonlinear vortex-induced vibration (VIV). Using Hamilton's principle, one can attain the dynamic equations governing the VIV in a fiber-reinforced pipeline that transports a two-phase petroleum and natural gas flow. The Galerkin technique is applied to discrete the governing equations from partial differential equations into a set of ordinary differential equations, and the numerical solutions are received using the Runge-Kutta methodology. Moreover, the exactitude of the theoretical model is verified by comparing it with published experimental and finite element results. Numerical results reveal the influence of internal and external velocities on the post-buckling behavior of the pipe. Moreover, the natural frequencies and maximum response displacements are discovered to be related to the parameters of two-phase flow such as slip ratio and liquid-phase volume coefficient. Besides, research has found that the axial tension significantly impacts on the VIV response of pipes in the supercritical regime, which means the maximum response displacement of the pipeline can be controlled by changing the tension amplitude.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"93 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142849497","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":"Some time-inhomogeneous diffusion models for population growth in random environments","authors":"Virginia Giorno, Amelia G. Nobile","doi":"10.1016/j.cnsns.2024.108502","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108502","url":null,"abstract":"Deterministic growth laws, expressed by first order differential equations with time-depending intrinsic growth intensity function, are initially introduced. Such equations are then parameterized in a way to allow random fluctuations of the intrinsic growth intensity function. This procedure leads to time-inhomogeneous diffusion processes for which a detailed study of transition probability density functions and of the first-passage time densities through arbitrarily fixed threshold values is performed. Some statistically significant quantities, such as the mean and the variance of the time necessary for the process to attain an assigned state, are obtained in closed form. The behaviors of several diffusion processes, suitable to describe the growth of populations, are finally analyzed and compared. Various numerical computations are performed in the presence of periodic intrinsic intensity function.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"139 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809070","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":"Perturbed evolutionary differential hemivariational inequalities involving time-dependent maximal monotone operators","authors":"Lu Liang, Zhenhai Liu, Valeri Obukhovskii, Garik Petrosyan","doi":"10.1016/j.cnsns.2024.108504","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108504","url":null,"abstract":"The goal of this paper is to study an abstract system of nonlinear differential hemivariational inequality, which consists of nonlinear differential inclusions and evolutionary hemivariational inequalities with doubly nonlinear function. The differential inclusion is also driver by time dependent maximal monotone operators with nonlinear perturbations. Firstly, the discrete iterative problems are constructed and its existence results are proved by employing the surjectivity theorem and the resolvent of monotone operators. Then a priori estimates and the convergence of approximate sequences are given. Finally, we show the existence of absolutely continuous solutions to the original problem mainly by time-discretization method and monotone operators theory. Also, an application to system of partial differential equations can be formulated by differential hemivariational inequality is given.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"9 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809072","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":"Unconditionally stable algorithm with unique solvability for image inpainting using a penalized Allen–Cahn equation","authors":"Sheng Su, Junxiang Yang","doi":"10.1016/j.cnsns.2024.108503","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108503","url":null,"abstract":"Image inpainting is a technique that utilizes information from surrounding areas to restore damaged or missing parts. To achieve binary image inpainting with mathematical tools and numerical techniques, an effective mathematical model and an efficient, stable numerical solver are essential. This work aims to propose a practical and unconditionally stable numerical algorithm for image inpainting. A penalized Allen–Cahn equation is derived from a free energy using a variational approach. The proposed mathematical model achieves inpainting by eliminating the damaged region with the constraint of surrounding image values. The operator splitting strategy is used to split the original model into two subproblems. The first one is the classical Allen–Cahn equation, and the second one is a penalization equation. For the Allen–Cahn equation, a linear and strong stability-preserving factorization scheme is adopted to calculate the intermediate solution. Then, the final solution is explicitly updated from a simple correction step. The governing equation is discretized in space using the finite difference method. We analytically prove that the proposed algorithm is unconditionally stable and uniquely solvable. In the numerical simulations, we first verify the efficiency and stability via several simple benchmarks. The capability of binary image inpainting is validated by comparing the present and previous results. By slightly adjusting the governing equation, the proposed method can work well in achieving image inpainting of various gray-valued images. Finally, the proposed method is extended into three-dimensional space to show its effectiveness in restoring damaged 3D objects. The main scientific contributions are: (i) an efficient and practical numerical method is developed for image inpainting; (ii) the unconditional stability and unique solvability have been analytically estimated; (iii) extensive numerical experiments are implemented to validate the stability and capability of the proposed method; (iv) the present method can be straightforwardly extended to achieve 3D restoration. To facilitate interested readers in developing related research, we provide the basic computational codes in Appendices A-D.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809102","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":"Controllability and observability of tempered fractional differential systems","authors":"Ilyasse Lamrani, Hanaa Zitane, Delfim F.M. Torres","doi":"10.1016/j.cnsns.2024.108501","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108501","url":null,"abstract":"We study controllability and observability concepts of tempered fractional linear systems in the Caputo sense. First, we formulate a solution for the class of tempered systems under investigation by means of the Laplace transform method. Then, we derive necessary and sufficient conditions for the controllability, as well as for the observability, in terms of the Gramian controllability matrix and the Gramian observability matrix, respectively. Moreover, we establish the Kalman criteria that allows one to check easily the controllability and the observability for tempered fractional systems. Applications to the fractional Chua’s circuit and Chua–Hartley’s oscillator models are provided to illustrate the theoretical results developed in this manuscript.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"51 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809103","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":"Analysis of transmission dynamics of dengue fever on a partially degenerated weighted network","authors":"Tingting Zheng, Yantao Luo, Linfei Nie, Zhidong Teng","doi":"10.1016/j.cnsns.2024.108495","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108495","url":null,"abstract":"In this paper, we propose a partially degenerated weighted network dynamical model for dengue fever transmission to study its spatial transmission dynamics, in which population mobility are characterized by the weighted graph Laplacian diffusion. Firstly, we establish the comparison principle for general reaction–diffusion differential equations defined on finite weighted network. Next, the well-posedness of solutions is established for the model. Then the basic reproduction number of the model is calculated, and then the stability of disease-free and endemic equilibria is investigated by means of the upper and lower solutions method and the construction of Lyapunov function. Furthermore, the uniform persistence of the model also is demonstrated. Finally, we apply the generalized weighted graph to the Watts–Strogatz network and present several numerical examples to verify theoretical results and obtain some interesting conclusions: the peak numbers of infected human population and infected mosquito populations depending on the node degree, even though the equations for the mosquito population in the model has no diffusion term.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"8 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142776335","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 effective one-iteration learning algorithm based on Gaussian mixture expansion for densities","authors":"Weiguo Lu, Xuan Wu, Deng Ding, Gangnan Yuan, Jirong Zhuang","doi":"10.1016/j.cnsns.2024.108494","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108494","url":null,"abstract":"In this study, we utilize Gaussian Mixture Model (GMM) and propose a novel learn algorithm to approximate any density in a fast and simple way. In our previous study, we proposed a idea called GMM expansion which inspired by Fourier expansion. Similar to the base of frequencies in Fourier expansion, GMM expansion assume that normal distributions can be placed evenly along the support as a set of bases to approximate a large set of distribution in good accuracy. In this work, a new algorithm is proposed base on the idea of GMM expansion. A theoretical analysis also given to verify the convergence. Various experiments are carried out to exam the efficacy of proposed method. Experiment result demonstrate the advantages of proposed method and support that this new algorithm perform faster, is more accurate, has better stability, and is easier to use than the Expectation Maximization (EM) algorithm. Furthermore, the benefits of this proposed method helps improve the integration of GMM in neural network. The experiment results show that the neural network with our proposed method significantly improves ability to handle the inverse problem and data uncertainty. Finally, another application, a GMM-based neural network generator, is built. This application shows the potential to utilize distribution random sampling for feature variation control in generative mode.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142776411","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":"Transparent boundary condition and its high frequency approximation for the Schrödinger equation on a rectangular computational domain","authors":"Samardhi Yadav, Vishal Vaibhav","doi":"10.1016/j.cnsns.2024.108489","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108489","url":null,"abstract":"This paper addresses the numerical implementation of the transparent boundary condition (TBC) and its various approximations for the free Schrödinger equation on a rectangular computational domain. In particular, we consider the exact TBC and its spatially local approximation under high frequency assumption along with an appropriate corner condition. For the spatial discretization, we use a Legendre–Galerkin spectral method where Lobatto polynomials serve as the basis. Within variational formalism, we first arrive at the time-continuous dynamical system using spatially discrete form of the initial boundary-value problem incorporating the boundary conditions. This dynamical system is then discretized using various time-stepping methods, namely, the backward-differentiation formula of order 1 and 2 (i.e., BDF1 and BDF2, respectively) and the trapezoidal rule (TR) to obtain a fully discrete system. Next, we extend this approach to the novel Padé based implementation of the TBC presented by Yadav and Vaibhav (2024). Finally, several numerical tests are presented to demonstrate the effectiveness of the boundary maps (incorporating the corner conditions) where we study the stability and convergence behaviour empirically.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142776336","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}