Communications in Nonlinear Science and Numerical Simulation最新文献

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 在湍流和肌肉抽搐波动以及声带震颤的情况下，起搏器控制声带双质量模型混乱振荡的稳健性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-24 DOI: 10.1016/j.cnsns.2024.108361

{"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":"","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}

引用次数: 0

Dynamics of a pituitary–adrenal model with distributed time delays 具有分布式时间延迟的垂体-肾上腺模型的动力学特性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-24 DOI: 10.1016/j.cnsns.2024.108363

引用次数: 0

Modeling and theoretical analysis of a stochastic novel vibro-impact galloping energy harvester with a U-shaped base 带有 U 形底座的随机新型振动冲击驰骋式能量收集器的建模和理论分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-23 DOI: 10.1016/j.cnsns.2024.108354

{"title":"Modeling and theoretical analysis of a stochastic novel vibro-impact galloping energy harvester with a U-shaped base","authors":"","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}

引用次数: 0

Privacy-preserving secure control for nonlinear multi-agent systems under hybrid attacks 混合攻击下非线性多代理系统的隐私保护安全控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108356

{"title":"Privacy-preserving secure control for nonlinear multi-agent systems under hybrid attacks","authors":"","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}

引用次数: 0

Stabilization of nonhomogenous semi-Markov jump linear systems with synchronous switching delays via aperiodically intermittent control 通过周期性间歇控制稳定具有同步开关延迟的非同源半马尔可夫跃迁线性系统

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108357

{"title":"Stabilization of nonhomogenous semi-Markov jump linear systems with synchronous switching delays via aperiodically intermittent control","authors":"","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}

引用次数: 0

Robust set stabilization of Boolean control networks with edge removal perturbations 具有去边扰动的布尔控制网络的鲁棒集稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108355

引用次数: 0

Canard cycle, relaxation oscillation and cross-diffusion induced pattern formation in a slow–fast ecological system with weak Allee effect 具有弱阿利效应的慢-快生态系统中的卡纳周期、弛豫振荡和交叉扩散诱导的模式形成

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108360

{"title":"Canard cycle, relaxation oscillation and cross-diffusion induced pattern formation in a slow–fast ecological system with weak Allee effect","authors":"","doi":"10.1016/j.cnsns.2024.108360","DOIUrl":"10.1016/j.cnsns.2024.108360","url":null,"abstract":"<div><div>In this paper, we consider a Holling type IV functional response that describes a situation in which the predator’s per capita rate of predation decreases at sufficiently high prey density. Meanwhile it can be transformed into a Holling type II functional response in the limiting sense where predator’s attack rate increases at a decreasing rate with prey density until it becomes satiated. To explore the different dynamics of these two functional responses, we consider the slow–fast dynamic behavior of predator–prey system with Holling type IV and II functional responses, respectively, and make some simple comparisons of the dynamics of the system with these two functional responses. Specifically speaking, in the nonspatial case, firstly, the system with Holling type II functional response does not undergo a higher-codimension Hopf bifurcation. Then, the system with Holling type IV is extensively proved the existence of canard cycles and relaxation oscillations by using a range of analytical methods such as geometric singular perturbation technique, normal form of the slow–fast system, and the way in–way out function. In the spatial case, the temporal systems are extended to reaction–diffusion predator–prey systems. For the reaction–diffusion system with Holling IV, the different types of traveling wave are observed. Moreover, for the reaction–diffusion predator–prey system with Holling II, it is demonstrated that Turing instability occurs, which induces spatial heterogeneity patterns. Finally, the comparisons of the above dynamics of Holling Type IV and II functional responses in the non-spatial and spatial cases, respectively, are presented. From these comparisons, different Holling functional responses may be adopted for species at different stages or states, which is more conducive to maintaining species diversity and coexistence.</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":"142328080","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

Designing a switching law for Mittag-Leffler stability in nonlinear singular fractional-order systems and its applications in synchronization 为非线性奇异分数阶系统的 Mittag-Leffler 稳定性设计开关定律及其在同步中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108352

{"title":"Designing a switching law for Mittag-Leffler stability in nonlinear singular fractional-order systems and its applications in synchronization","authors":"","doi":"10.1016/j.cnsns.2024.108352","DOIUrl":"10.1016/j.cnsns.2024.108352","url":null,"abstract":"<div><div>In this work, the stability and synchronization issue of switched singular continuous-time fractional-order systems with nonlinear perturbation are examined. Using the fixed-point principle and S-procedure lemma, a sufficient condition for the existence and uniqueness of the solution to the switched singular fractional-order system is first stated. Next, using the Lyapunov functional method in combination with some techniques related to singular systems and fractional calculus, a switching rule for regularity, impulse-free, and Mittag-Leffler stability is developed based on the formation of a partition of the stability state regions in convex cones. For synchronizing switched fractional singular dynamical systems, we propose a state feedback controller that ensures regularity, impulse-free, and Mittag-Leffler stable in the error closed-loop system. Finally, the ease of use and computational convenience of our proposed methods are illustrated by two numerical examples and a practical example about DC motor controlling an inverted pendulum accompanied by simulation 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/S1007570424005379/pdfft?md5=00fa77ddae0400b9c66909544b959b6b&pid=1-s2.0-S1007570424005379-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315751","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}

引用次数: 0

SIR models with vital dynamics, reinfection, and randomness to investigate the spread of infectious diseases 具有生命动力学、再感染和随机性的 SIR 模型，用于研究传染病的传播

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108359

引用次数: 0

Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems 延迟混沌鲁尔系统的可变增益间歇稳定和同步化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-09-21 DOI: 10.1016/j.cnsns.2024.108353

{"title":"Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems","authors":"","doi":"10.1016/j.cnsns.2024.108353","DOIUrl":"10.1016/j.cnsns.2024.108353","url":null,"abstract":"<div><div>In this paper, a variable gain intermittent control strategy for stabilization and synchronization of chaotic Lur’e systems with time-varying delay is proposed. In contrast to the conventional constant gain intermittent control strategies, the proposed intermittent control strategy allows the control gain to vary with the operation duration of the intermittent controller. The construction of variable control gains is based on a partition scheme on the time-varying working intervals. In order to align with the structure of the variable intermittent control gain function, a pair of partition-dependent piecewise Lyapunov functions are introduced. Two distinct Razumikhin-type analysis techniques, one for the working intervals and the other for the resting intervals, are employed to derive novel criteria for intermittent stabilization and synchronization. The desired intermittent control/synchronization gain functions can be obtained by solving a convex minimization problem, which is capable of minimizing the control width under specified constraints on the gain norm. The numerical results demonstrate that, in comparison with the conventional constant gain strategies, the proposed variable gain intermittent control strategy is capable of efficiently reducing the intermittent control rate.</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":"142319036","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