Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems","authors":"Mengru Jiang ,&nbsp;Jilian Wu ,&nbsp;Ning Li ,&nbsp;Xinlong Feng","doi":"10.1016/j.cnsns.2024.108365","DOIUrl":"10.1016/j.cnsns.2024.108365","url":null,"abstract":"<div><div>This paper presents an unconditionally stable time-filtering algorithm for natural convection equations. The algorithm is based on the scalar auxiliary variables in the exponential function and adopts a completely discrete Back-Euler combining time filter scheme. The proposed scheme requires minimal invasive modification of the existing program to improve the time accuracy from first-order to second-order without increasing the computational complexity, and we demonstrate the unconditional stability of the proposed algorithm and analyze its second-order convergence. In addition, due to the increasing demand for low-memory solvers, the application of a time-adaptive algorithm can improve the accuracy and efficiency of the proposed algorithm, so we extend the method to variable step sizes and construct an adaptive algorithm. Finally, the effectiveness of the proposed method and the accuracy of the theoretical results are verified by numerical experiments.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421758","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":"Computing two actuarial quantities under multilayer dividend strategy with a constant interest rate: Based on Sinc methods","authors":"Zhang Liu,&nbsp;Sijia Shen,&nbsp;Haipeng Su","doi":"10.1016/j.cnsns.2024.108369","DOIUrl":"10.1016/j.cnsns.2024.108369","url":null,"abstract":"<div><div>As risk processes with some kind of dividend strategies receive remarkable attention in the financial market, the analysis of risk quantities in the presence of interest (or return) has become an important issue in insurance risk theory, and the corresponding research should be of concern to actuaries. In this paper, we study a perturbed dual risk model with a constant interest rate and a multilayer threshold strategy. We derive respectively the integral differential equations satisfied by the expected present value of the total dividend until ruin and the Laplace transform at the time of ruin. By applying the Sinc method developed in this paper, we derive the approximate solutions of the integral differential equations satisfied by these two risk quantities. Finally, various numerical examples are provided to demonstrate the feasibility of the Sinc method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421832","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 unified gas-kinetic scheme for steady state solution of hypersonic thermodynamic non-equilibrium flows","authors":"Rui Zhang ,&nbsp;Sha Liu ,&nbsp;Jianfeng Chen ,&nbsp;Hao Jin ,&nbsp;Congshan Zhuo ,&nbsp;Chengwen Zhong","doi":"10.1016/j.cnsns.2024.108367","DOIUrl":"10.1016/j.cnsns.2024.108367","url":null,"abstract":"<div><div>The unified gas-kinetic scheme (UGKS), designed to solve Boltzmann equation and its model equations, aims to accurately resolve multi-scale flow problems within a single computation framework. In this study, an implicit UGKS is proposed for the steady state solution of diatomic gas flows based on a multiple-temperature Boltzmann model equation with non-equilibrium among translational, rotational and vibrational modes (Zhang et al., 2023), utilizing a novel hybrid Cartesian-unstructured discrete velocity space (DVS) mesh approach. The multiple-temperature macroscopic equations corresponding to the Boltzmann model equation are simultaneously solved implicitly to address the stiffness and nonlinearity of the collision operator encountered when solving the Boltzmann model equation in isolation. Both macroscopic equations and Boltzmann model equation are solved by using the point relaxation symmetric Gauss–Seidel method to achieve a fast convergence rate. The efficiency of the implicit UGKS can be improved by about two orders of magnitude compared to the explicit one. Moreover, the hybrid Cartesian-unstructured DVS achieves a noteworthy reduction in both CPU-hours and memory consumption, requiring only 15%<span><math><mo>∼</mo></math></span>23% of the advanced unstructured DVS. It effectively alleviates the dimensional crisis of UGKS in solving three-dimensional hypersonic flows, and can be extended to other DVS-based methods. As a result, UGKS extends its applicable regime to simulations of hypersonic thermodynamic non-equilibrium flows with Mach numbers up to 30, achieving three-dimensional flow simulations of complex geometrical configurations with relatively low computational resources. A series of test cases, including normal shock structures, two-dimensional hypersonic flows around cylinder, blunt wedge and flat plate, and three-dimensional hypersonic flows around a sphere and an X38-like configuration vehicle, are conducted to validate the implicit UGKS with hybrid Cartesian-unstructured DVS. Overall, the proposed method shows advantages of unified multi-scale methods in terms of computational efficiency and capturing multi-scale solution of hypersonic thermodynamic non-equilibrium flows.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421833","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":"Dynamics of an age-structured SIS epidemic model with local dispersal and general incidence functions","authors":"Dandan Sun,&nbsp;Wan-Tong Li,&nbsp;Ming-Zhen Xin","doi":"10.1016/j.cnsns.2024.108364","DOIUrl":"10.1016/j.cnsns.2024.108364","url":null,"abstract":"<div><div>In this paper, an age-structured SIS epidemic model with local dispersal and general incidence functions is formulated. We first analytically derive the well-posedness of solutions, the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> and the existence of steady states. Then, we show that the disease-free steady state is global asymptotically stable if <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>≤</mo><mn>1</mn></mrow></math></span> and disease in the model is uniformly persistent if <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></mrow></math></span>. Moreover, we show global asymptotic stability of the endemic steady state under some cases. Finally, infection age, media coverage and spatial diffusion on the epidemic of infectious diseases are demonstrated by numerical simulations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421831","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":"Dynamics of a pituitary–adrenal model with distributed time delays","authors":"Eva Kaslik ,&nbsp;Maria Roxana Matei ,&nbsp;Mihaela Neamţu","doi":"10.1016/j.cnsns.2024.108363","DOIUrl":"10.1016/j.cnsns.2024.108363","url":null,"abstract":"<div><div>This paper investigates the effects of distributed time delays on the dynamics of the pituitary–adrenal axis. Our two-dimensional model incorporates distributed time delays with general delay kernels, specifically illustrating interactions between adrenocorticotropic hormone (ACTH) and cortisol (CORT). We derive general theoretical results for general delay kernels, exemplified by Dirac and weak Gamma kernels, revealing stability transitions characterized by Hopf bifurcations. We establish conditions for the local asymptotic stability of the unique equilibrium and discuss the existence of periodic solutions. Numerical simulations demonstrate that periodic oscillations appear for appropriate values of the average time delays. Including an external input results in both ultradian and circadian rhythms, highlighting the system’s dynamic responsiveness to external stimuli.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142322026","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":"Robustness of a pacemaker to control chaotic oscillations in a two-mass model of the vocal folds under turbulence and muscle twitch fluctuations and vocal tremor","authors":"Oriol Guasch","doi":"10.1016/j.cnsns.2024.108361","DOIUrl":"10.1016/j.cnsns.2024.108361","url":null,"abstract":"<div><div>A pacemaker for phonation could be feasible in the near future thanks to advances in smart materials technology. However, before attempting it, much theoretical work needs to be done to figure out how it could work. Human phonation is a complex and highly non-linear fluid–structure interaction process for the onset of regular self-oscillations of the vocal folds to produce voice. Such oscillations can become chaotic for even moderate changes in the physical parameters of the folds or the subglottal pressure. Traditionally, low-dimensional biomechanical mass models have been used to understand the intricacies of both normal and abnormal phonation. In this framework, the possibility of devising a mass–spring–damper pacemaker capable of regulating chaotic oscillations of the vocal folds, which uses an altering energy feedback control strategy acting on the pacemaker damping, was recently analyzed. However, phonation can undergo several perturbations and it is necessary to test the robustness of the pacemaker against them. This is the objective of this work. Two types of disturbances are considered: random and periodic. The former are associated with glottal flow turbulence and also with muscle twitches, which are partially responsible for voice jitter. The second are related to vocal tremor and are often found in patients with paresis, Parkinson’s disease or adductor spasmodic dysphonia, among others. Using tools for the analysis of nonlinear dynamical systems, it will be demonstrated that the pacemaker can respond quite well to random and periodic perturbations, supporting its potential for partial remedy of voice pathologies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142322157","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":"Modeling and theoretical analysis of a stochastic novel vibro-impact galloping energy harvester with a U-shaped base","authors":"Hang Deng,&nbsp;Jimin Ye,&nbsp;Dongmei Huang","doi":"10.1016/j.cnsns.2024.108354","DOIUrl":"10.1016/j.cnsns.2024.108354","url":null,"abstract":"<div><div>This paper proposes a novel vibro-impact galloping energy harvester (VIGEH) with a U-shaped base. Different from classical galloping energy harvesters (GEHs), the design of the U-shaped base can avoid the damage of GEH during operation at high wind speeds by limiting the amplitude of the bluff body. The joint transition stationary probability density function (PDF) of the VIGEH is studied by further introducing the energy loss based on the stochastic averaging method. Afterward, various parameters of the VIGEH are analyzed and the results show that the smaller the distance between the rigid barriers, the higher the bump at the boundary of the joint PDF. The mean square voltage (MSV) and mean square displacement (MSD) of the VIGEH are also analyzed and the results show that the MSV and MSD are significantly enhanced when the galloping phenomenon occurs. In addition, the displacement and voltage of VIGEH and the ones of classical GEHs are compared, and the results show that the U-shaped base is effective in limiting the amplitude of the bluff body. When the input energy is the same, the output voltage of the VIGEH is higher due to the limitation of the rigid barriers which makes the bluff body vibrate at a faster frequency.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005392/pdfft?md5=caa81aa1e0735976bfe035920ecf9e85&pid=1-s2.0-S1007570424005392-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315750","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}

{"title":"Privacy-preserving secure control for nonlinear multi-agent systems under hybrid attacks","authors":"Zhiyu Duan ,&nbsp;Airong Wei ,&nbsp;Xianfu Zhang ,&nbsp;Zi-Ming Wang","doi":"10.1016/j.cnsns.2024.108356","DOIUrl":"10.1016/j.cnsns.2024.108356","url":null,"abstract":"<div><div>In the paper, the privacy-preserving secure bipartite consensus is discussed for nonlinear multi-agent systems within the framework of periodic event-triggered control, where agents suffer from replay attacks and deception attacks. Firstly, draw support from the gain control technique, a compensator-based secure control strategy is designed to effectively resist replay attacks, moreover, a periodic event-triggered mechanism is employed to update the control strategy. Then, to compensate for the effect of hybrid attacks, a novel auxiliary system and an extended observer are constructed. Meanwhile, a time-varying mask function is introduced into the output signal and compensator/observer to realize privacy protection of the initial information. Further, the secure bipartite consensus issue is successfully solved by combining secure control strategies with Lyapunov function method. Particularly, the proposed control strategies are capable of ensuring intermittent communication, removing sampling period limitation and naturally avoiding Zeno behaviour. Finally, the effectiveness of the main results is confirmed via simulation examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319037","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":"Stabilization of nonhomogenous semi-Markov jump linear systems with synchronous switching delays via aperiodically intermittent control","authors":"Zilong Zhang,&nbsp;Quanxin Zhu","doi":"10.1016/j.cnsns.2024.108357","DOIUrl":"10.1016/j.cnsns.2024.108357","url":null,"abstract":"<div><div>A type of nonhomogenous semi-Markov jump linear systems with synchronous switching delays is considered in the present paper. Owing to the existence of time-varying delays and nonhomogenous semi-Markov switching process, the selection of Lyapunov functional and the transformation of some time-varying parameters become more complicated in comparison with many existing works. To overcome these difficulties, a sort of Lyapunov–Krasovskii functional related to switching delays is introduced. Simultaneously, the technique of convex combination is applied to tackle a variety of time-varying terms including transition probabilities (TPs), probability distribution function and probability density function (PDF). Then, a time-invariant stability criterion superior to many relevant works in conservativeness is obtained to ensure mean-square exponential stability (MES). Based on this result, time-invariant conditions for mean square exponential stability of the controlled system are also attained by the continuous feedback control. Subsequently, to stand on the point of cost reduction, an aperiodically intermittent control (AIC) is adopted in such a system and a stability criterion is attained as well under more relaxed restrictions on relative parameters. Finally, a numerical example is provided to verify the effectiveness and correctness of the results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142322027","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 set stabilization of Boolean control networks with edge removal perturbations","authors":"Yuexin Liu ,&nbsp;Anna Feng ,&nbsp;Jiahao Wu ,&nbsp;Jie Zhong ,&nbsp;Bowen Li","doi":"10.1016/j.cnsns.2024.108355","DOIUrl":"10.1016/j.cnsns.2024.108355","url":null,"abstract":"<div><div>This paper examines robust set stabilization in Boolean control networks (BCNs) under a new edge removal perturbations framework. Edge removal perturbations are characterized by the random elimination of certain edges, thereby disrupting the interactive dynamics between nodes. To counteract these perturbations, an edge addition control strategy is proposed to achieve set stabilization in BCNs. This strategy involves selectively adding edges to restore and enhance the connections between nodes. Then, one necessary and sufficient condition is given in this paper, complemented by a practical criterion for verification. Additionally, the design of state feedback controllers that facilitate robust set stabilization under the proposed edge addition control is outlined. To demonstrate the efficacy of this approach proposed in this paper, a biological example is presented, validating the obtained main results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1007570424005409/pdfft?md5=7690db88a0bda1e84a0c214dd0b7454b&pid=1-s2.0-S1007570424005409-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142312551","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}