{"title":"Observer-based improved event-triggered interval type-2 fuzzy networked control systems subject to deception attacks in dual communication channels","authors":"Qiao-Li Li, Xiao-Heng Chang","doi":"10.1016/j.cnsns.2024.108579","DOIUrl":"10.1016/j.cnsns.2024.108579","url":null,"abstract":"<div><div>The paper is mainly discusses the interval type-2 (IT2) fuzzy security control problem of improved event-triggered networked control systems (NCSs) under network attacks under dual communication channels. Firstly, under the premise of limited network bandwidth and unobservable system, an improved event-triggered (ET) mechanism is proposed to judge the data transmission conditions according to the average value of the current sampling time and the last triggering time. In addition, considering that the transmission of the networked system is carried out under multiple communication channels, this paper considers the role of event-triggered and deception attacks (DAs) at both ends of the system, and establishes a fuzzy system model under disturbance. The Lyapunov function method is used to analyze the stability of the system. The controller, observer and triggered matrix are designed by linear matrix inequalities (LMIs) approach, and the conditions satisfying the system stability and the expected performance index are obtained. Compared with common adaptive event triggered mechanism (AETM), the proposed improved adaptive ET scheme significantly saves network resources. Finally, The scheme’s effectiveness and superiority are validated through simulation examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108579"},"PeriodicalIF":3.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142937625","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":"Saddle–node bifurcations for concave in measure and d-concave in measure skewproduct flows with applications to population dynamics and circuits","authors":"Jesús Dueñas , Carmen Núñez , Rafael Obaya","doi":"10.1016/j.cnsns.2024.108577","DOIUrl":"10.1016/j.cnsns.2024.108577","url":null,"abstract":"<div><div>Concave in measure and d-concave in measure nonautonomous scalar ordinary differential equations given by coercive and time-compactible maps have similar properties to equations satisfying considerably more restrictive hypotheses. This paper describes the generalized simple or double saddle–node bifurcation diagrams for one-parametric families of equations of these types, from which the dynamical possibilities for each of the equations follow. This new framework allows the analysis of “almost stochastic” equations, whose coefficients vary in very large chaotic sets. The results also apply to the analysis of the occurrence of critical transitions for a range of models much larger than in previous approaches.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108577"},"PeriodicalIF":3.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936905","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":"Output synchronization of fractional-order multi-layer network via quantized pinning control under stochastic cyber attacks","authors":"Lulu Xu , Juan Yu , Cheng Hu","doi":"10.1016/j.cnsns.2024.108571","DOIUrl":"10.1016/j.cnsns.2024.108571","url":null,"abstract":"<div><div>In practical applications, loads of single complex network models cannot meet the research requirements owing to the interaction between network layers. Furthermore, the measurability of state information is rather difficult in the light of some uncontrollable factors. In view of these facts, we are mainly devoted to researching the output synchronization problem of fractional-order multi-layer network with output coupling under stochastic deceptive attacks. By utilizing the Lyapunov function, graph theoretic, and LMI techniques, some sufficient criteria are introduced to achieve output synchronization. Firstly, a quantized pinning scheme is designed to discuss the output synchronization of fractional-order multi-layer networks in the absence of cyber attacks. Subsequently, in view of the fact that fractional-order multi-layer networks are susceptible to malicious attacks of stochastic networks in synchronization process, an adaptive quantized pinning control strategy is developed. This strategy can adjust its personal parameters according to the state changes of nodes. Especially, the output matrix is no more restricted to a diagonal matrix, and the relationship between the output matrix and output synchronization is further acquired, which increases the applicability of controlled system. Ultimately, two persuasive numerical examples are used to expound the availability and superiority of theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108571"},"PeriodicalIF":3.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142937626","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}
Su-Su Zhang , Xiaoyan Yu , Gui-Quan Sun , Chuang Liu , Xiu-Xiu Zhan
{"title":"Locating influential nodes in hypergraphs via fuzzy collective influence","authors":"Su-Su Zhang , Xiaoyan Yu , Gui-Quan Sun , Chuang Liu , Xiu-Xiu Zhan","doi":"10.1016/j.cnsns.2024.108574","DOIUrl":"10.1016/j.cnsns.2024.108574","url":null,"abstract":"<div><div>Identifying the most influential nodes has become a crucial topic in network science for applications such as viral marketing, rumor suppression, and disease control. However, traditional research on influential node identification focuses mainly on pairwise interactions rather than higher-order interactions between individuals. To solve this problem, we propose <span><math><mi>s</mi></math></span>-distance-based fuzzy centrality methods (HDF and EHDF) that are customized for hypergraphs, which can characterize higher-order interactions between nodes via hyperedges. The methods we proposed assume that the influence of a node is dependent on neighboring nodes with a certain <span><math><mi>s</mi></math></span>-distance. Extensive experiments on 6 empirical hypergraphs indicate that HDF and EHDF can better identify influential nodes than the baseline methods. Furthermore, our methods demonstrate significant effectiveness in identifying the most influential nodes, achieving a maximum improvement of 411.37% compared to the best state-of-the-art baseline. Our proposed theoretical framework for identifying influential nodes could provide insights into the utilization of higher-order structures for tasks such as vital node identification, influence maximization, and network dismantling.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108574"},"PeriodicalIF":3.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936906","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":"Exact solutions and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient Fokas-typed equation","authors":"Yi Wang , Xing Lü","doi":"10.1016/j.cnsns.2024.108567","DOIUrl":"10.1016/j.cnsns.2024.108567","url":null,"abstract":"<div><div>This paper is concerned with a generalized <span><math><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional variable-coefficient Fokas-typed equation, which is used to describe the interaction of nonlinear waves in ocean dynamics, shallow water waves, etc. By virtue of the Hirota bilinear method, the one-, two-, and three-soliton solutions are derived. Three kinds of bilinear Bäcklund transformation (BT) and the Bell-polynomial-typed BT are constructed based on the bilinear form. In addition, we obtain the lump solution and breather solution via the test function method. Three sets of variable coefficients are selected and the dynamic behavior of the corresponding lump solution is observed and analyzed. The main physics characteristics and spatial structure of these exact solutions are graphically discussed. Our results can be helpful in explaining certain related nonlinear phenomena.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"143 ","pages":"Article 108567"},"PeriodicalIF":3.4,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143183413","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}
Wei Zhang , Muchen Shi , Chaoran Liu , Xiaoyang Su
{"title":"Synchronous low-frequency vibration mitigation and energy harvesting with tunable load bearing capacity and operation band","authors":"Wei Zhang , Muchen Shi , Chaoran Liu , Xiaoyang Su","doi":"10.1016/j.cnsns.2024.108588","DOIUrl":"10.1016/j.cnsns.2024.108588","url":null,"abstract":"<div><div>Vibrations are usually harmful in engineering and thus need to be mitigated, whereas they are also potential sources of useful energy and can be harnessed. Current difficulty in vibration mitigation and energy harvesting is to achieve both objectives synchronously, especially in low-frequency environments. In this paper, a device composed of quasi-zero-stiffness (QZS) pneumatic support and magnetic-piezoelectric cantilever beams is proposed for synchronous low-frequency vibration mitigation and energy harvesting. The pneumatic support enables the adaptability to different load masses while maintaining QZS. The magnetic spacing in the magnetic-piezoelectric cantilever beam can be adjusted to produce various stiffness properties, including nonlinear positive stiffness, QZS, and bistability. The nonlinear dynamic behaviors are studied and the performances are analyzed based on the electromechanical coupled equations. Results indicate that energy harvesting and vibration mitigation can be achieved at low frequencies, and most importantly the energy harvesting region is located within the vibration mitigation region, implying synchronization of the two objectives. Different situations induced by the bifurcation of magnetic spacing are studied and discussed. It is shown that the magnetic spacing that produces QZS for the cantilever beam is the best choice, and the energy harvesting region can be easily tuned by adjusting the magnetic spacing.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108588"},"PeriodicalIF":3.4,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936908","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":"Boundary Mittag-Leffler stabilization and disturbance rejection for time fractional ODE diffusion-wave equation cascaded systems","authors":"Jiake Sun, Junmin Wang","doi":"10.1016/j.cnsns.2024.108568","DOIUrl":"10.1016/j.cnsns.2024.108568","url":null,"abstract":"<div><div>This paper investigates the boundary stabilization of time fractional-order ODE cascaded with time fractional-order diffusion-wave equation systems subject to external disturbance. We stabilize the systems by using sliding mode control method and backstepping method. We prove the existence of the generalized solution of the closed-loop systems by Galerkin’s method and successive approximation method. The Mittag-Leffler stability of the systems is proven by Lyapunov method. The numerical simulations are presented to illustrate the validity of the theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108568"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911896","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":"The analysis of geometrically nonlinear behavior of SMAs using RKPM","authors":"Yijie Zhang , Gaofeng Wei , Tengda Liu , Fengfeng Hua , Shasha Zhou","doi":"10.1016/j.cnsns.2024.108581","DOIUrl":"10.1016/j.cnsns.2024.108581","url":null,"abstract":"<div><div>As the temperature surpasses the threshold for the completion of austenitic transformation, shape memory alloys (SMAs) necessitate a substantial external force to trigger internal phase transformation. Given the substantial deformation induced by the external force on SMAs, the application of geometrically nonlinear analysis becomes essential. In this paper, reproducing kernel particle method (RKPM) is employed to investigate the geometrically nonlinear behavior of SMAs. The penalty function method is applied to impose the displacement boundary conditions. The study utilizes the Galerkin weak form with total Lagrangian (TL) framework to develop geometrically nonlinear SMAs equations, solved via Newton-Raphson (N-R) iteration. The effects of varying penalty factor and radius control parameter of the influence domain on error and computational stability are investigated. Ultimately, the suitability of applying RKPM for exploring the geometrically nonlinearity behavior of SMAs is demonstrated via numerical examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108581"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142937629","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":"Continuation and bifurcations of periodic orbits and symbolic dynamics in the Swift–Hohenberg equation","authors":"Jakub Czwórnóg , Daniel Wilczak","doi":"10.1016/j.cnsns.2024.108569","DOIUrl":"10.1016/j.cnsns.2024.108569","url":null,"abstract":"<div><div>Steady states of the Swift–Hohenberg (Swift and Hohenberg, 1977) equation are studied. For the associated four-dimensional ODE we prove that on the energy level <span><math><mrow><mi>E</mi><mo>=</mo><mn>0</mn></mrow></math></span> two smooth branches of even periodic solutions are created through the saddle–node bifurcation. We also show that these orbits satisfy certain geometric properties, which implies that the system has positive topological entropy for an explicit and wide range of parameter values of the system.</div><div>The proof is computer-assisted and it uses rigorous computation of bounds on certain Poincaré map and its higher order derivatives.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108569"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911895","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}
Shuai Mo , Yongjun Hu , Taojiang Huang , Yuansheng Zhou , Jielu Zhang , Wei Zhang
{"title":"Nonlinear dynamic of friction stir welding for aluminum alloy","authors":"Shuai Mo , Yongjun Hu , Taojiang Huang , Yuansheng Zhou , Jielu Zhang , Wei Zhang","doi":"10.1016/j.cnsns.2024.108576","DOIUrl":"10.1016/j.cnsns.2024.108576","url":null,"abstract":"<div><div>Research on system dynamics of friction stir welding (FSW) of aluminum alloy is of great significance to optimize the welding process and improve welding quality. In this paper, the aluminum alloy FSW is taken as the object, considering the influence of the arc value of the stirring pin, the feed quantity and the equivalent friction coefficient, the nonlinear dynamic model of the aluminum alloy FSW system is established, and the influence of different factors on the vibration characteristics of the system in <em>x</em> direction and <em>y</em> direction is explored. Time domain diagram, phase diagram, Poincaré diagram, bifurcation diagram and Lyapunov exponent are used to reveal the vibration response characteristics of the aluminum alloy FSW system. The time delay multi-scale method was used to study the main resonance characteristics of the aluminum alloy FSW system, and the effects of feed quantity and time delay parameters on the main resonance characteristics of the system were explored. The results show that the system shows strong nonlinearity when considering the value of the arc of the stirring pin, the feed quantity and the equivalent softening friction coefficient. With the increase of the feed quantity and the a^#mount of stirring pin, the vibration characteristics of the system change from single-cycle to multi-cycle to chaos. The system will be in a complex nonlinear state when the stirring pin is rotated into the radian value and the feed quantity is large. The system can be kept stable by adjusting the feed quantity and time delay parameters. The welding effect is good and the welding quality is high when the speed of FSW of aluminum alloy is about [800 (r/min),900 (r/min)] under the lower feed quantity and the arc value of the stirring pin.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108576"},"PeriodicalIF":3.4,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911899","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}