Communications in Nonlinear Science and Numerical Simulation最新文献

An improved model for time-varying mesh stiffness of super-high-contact-ratio helical gear pair considering contact disparities on differently sliced fractal surfaces

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108806

Guodong Zhu , Kang Huang , Yangshou Xiong , Anqi Li , Jiyou Peng , Wenhao Ding

{"title":"An improved model for time-varying mesh stiffness of super-high-contact-ratio helical gear pair considering contact disparities on differently sliced fractal surfaces","authors":"Guodong Zhu , Kang Huang , Yangshou Xiong , Anqi Li , Jiyou Peng , Wenhao Ding","doi":"10.1016/j.cnsns.2025.108806","DOIUrl":"10.1016/j.cnsns.2025.108806","url":null,"abstract":"<div><div>Comprehensive studies that fully explore the impact of tooth surface morphology on the time-varying mesh stiffness (TVMS) of helical gear pairs are limited. The slicing method in helical gears leads to significant differences in fractal contact stiffness compared to spur gears, affecting stiffness calculations. Consequently, this research focuses on super-high-contact-ratio (SHCR) helical gears, commonly used in electric vehicles. The fractal contact model for the SHCR helical gear pair is developed based on fractal theory. The tooth contact coefficients in the conventional contact model have been improved. The new model considers distinctions in the tooth surface contact coefficients for different slices simultaneously in the helical gear pair. Furthermore, considering the axial force components, an improved model for the TVMS of the SHCR helical gear pair is developed. The investigation examines the effects of fractal and gear parameters on TVMS. The findings reveal that the TVMS escalates with an increase in fractal dimension and a decrease in the characteristic scale coefficient. Moreover, it is observed that the TVMS of the SHCR helical gear exhibits a relatively lower sensitivity compared to spur gears to changes in fractal parameters. Additionally, the contact ratio emerges as a crucial factor affecting TVMS. Notably, when the contact ratio approximates an integer value, the peak-to-peak value of TVMS diminishes. Conversely, in instances where the contact ratio is large, the average value tends to increase.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108806"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735088","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 exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108779

Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao

{"title":"Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion","authors":"Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao","doi":"10.1016/j.cnsns.2025.108779","DOIUrl":"10.1016/j.cnsns.2025.108779","url":null,"abstract":"<div><div>This paper provides a sufficient criterion for robust global exponential stability (RGES) of non-deterministic fuzzy neural networks (NDFNNs), where “non-deterministic” feature maps the effect of the variability of piecewise constant argument (PCAs), derivative term coefficients (DTCs) and twofold uncertain connection weights.To determine the supremum of the non-deterministic parameters, an algorithm for the global unidirectional sequential calculation is designed, including the feasible domain of the connection weight intensities that interfere with the transient performance of NDFNNs. Furthermore, the existence and uniqueness of the solution of NDFNNs are further elucidated. These are achieved by solving quaternary implicit transcendental equations utilizing Gronwall inequality. Compared to previous results, an additional geometric representation of the allowable intensity of connection weights is provided, accounting for the influence of PCAs and DTCs, is given. The designed algorithm based on unidirectional quaternary implicit criterion fully considers the sequential relation of update process. Specifically, the unidirectional algorithm enables the supremum of subsequent elements to depend on previously computed ones, creating a coupled relationship and enhancing accuracy. Finally, the validity of the theoretical results for ensuring the RGES of NDFNNs is illustrated by the simulation cases.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108779"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738759","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

Random walks over weighted complex networks: Are the most occupied nodes the nearest ones?

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108778

Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia

{"title":"Random walks over weighted complex networks: Are the most occupied nodes the nearest ones?","authors":"Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia","doi":"10.1016/j.cnsns.2025.108778","DOIUrl":"10.1016/j.cnsns.2025.108778","url":null,"abstract":"<div><div>In this paper, we study the relationship between occupation and closeness of nodes for particles moving in a random walk on weighted complex networks, such that the adjacency and transition matrices define the <em>outgoing neighbors</em> of a node and transition probabilities to them, respectively, for packages that pass through the node in question. To answer this question for different network topologies and transition probabilities, we propose two new planes involving occupation, closeness, and transient time, which characterize the transport properties of the networks, as opposed to the more static representations of the network, as previously reported. The first plane provides a local relation between occupation and closeness of nodes, while the second plane relates the average closeness and average transient time to converge to the asymptotic state of the network as a whole. We compare 16 different topologies considering complex real-world and synthetic networks. In all the cases considered, we found an approximate inverse relation between occupation and closeness of nodes, and a direct relation between the global transient time and average closeness of the network. The calculations are done directly from the network topology and transition probabilities, but they can also be estimated by directly simulating the network transport. Hence, these planes provide a complementary view of the transportation dynamics on complex networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108778"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739028","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

Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system 应用于热交换器系统的非线性海洋捕食者算法，用于鲁棒识别脉冲噪声下的分数锤斯坦非线性模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108809

Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu

{"title":"Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system","authors":"Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu","doi":"10.1016/j.cnsns.2025.108809","DOIUrl":"10.1016/j.cnsns.2025.108809","url":null,"abstract":"<div><div>Identification of stiff nonlinear systems is considered as one of the challenging tasks and research community is providing promising solution for identification of these systems. Researchers have concluded that integration of fractional calculus provides better insight and understanding of complex systems by keeping the previous history. In this study, nonlinear marine predator optimization algorithm (NMPA) is used for the identification of fractional Hammerstein control autoregressive system (FHCAR) with Gaussian as well as impulsive noise. Further, a practical example of heat exchanger system modeled with FHCAR structure, is considered to analyze the knacks of NMPA in terms of convergence, robustness and stability. Grunwald-Letnikov's concept of fractional calculus derivative is used to transform standard Hammerstein control autoregressive system into FHCAR system. Mean square error-based fitness function is used to examine the performance of NMPA for identification of 4th order nonlinear FHCAR system for all three case studies i.e., FHCAR with Gaussian noise, FHCAR with impulsive noise and heat exchanger system identification. The performance of NMPA is observed in terms of fast convergence, accuracy, stability, robustness and accuracy in estimation of correct parameters of the system for multiple noise scenarios and the superiority is endorsed through comparison with the recent counterparts i.e., Gazelle optimization algorithm, Runge Kutta optimization method, Whale optimization algorithm, Harris Hawks optimization algorithm and African vulture optimization algorithm.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108809"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735089","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

A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108780

Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang

{"title":"A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties","authors":"Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang","doi":"10.1016/j.cnsns.2025.108780","DOIUrl":"10.1016/j.cnsns.2025.108780","url":null,"abstract":"<div><div>Inverse optimal control is a framework to deal with the optimal control of dynamical systems with uncertain parameters. Bioconversion of glycerol to 1,3-propanediol in continuous fermentation is a complex cellular metabolic process in nature. Due to the unclear metabolic mechanisms and the lack of experimental data of intracellular concentrations, kinetic parameters of the fermentation system are often to a certain degree uncertain. This paper proposes a biobjective inverse optimal control problem with functional inequality constraints to describe the process control of glycerol continuous fermentation system considering the uncertainties of kinetic parameters, where the objectives are formulated based on the biological robustness and the <em>settling time</em> under approximately stable state. A novel distance-based stochastic comparison principle is designed to handle the complex constraints. A bilevel approach using nested strategy is also constructed to solve the biobjective bilevel problem, which is a combination of whale optimization algorithm with the new comparison principle for the lower level and chaotic competitive differential evolution algorithm for the upper level. Numerical comparisons show that the novel comparison principle has certain advantages in convergence speed for 13 benchmark functions compared with two other constraint handling techniques and the obtained optimal dilution rate is effective to avoid glycerol waste for about 30 h. Numerical results show that the proposed bilevel algorithm is effective and practicable to the complex real problem.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108780"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724615","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

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108777

V. Eclerová , A.E. Botha

{"title":"Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction","authors":"V. Eclerová , A.E. Botha","doi":"10.1016/j.cnsns.2025.108777","DOIUrl":"10.1016/j.cnsns.2025.108777","url":null,"abstract":"<div><div>A general method is presented to study the bifurcations that occur in models of anomalous <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junctions. To demonstrate the method, a bifurcation analysis is made of the superconductor–ferromagnet–superconductor <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junction, in which the Josephson to magnetic energy ratio and the direct current bias are used as the two control parameters. The recently developed embedding technique facilitates the use of standard numerical continuation techniques for the analysis. It reveals that the stability limit can be disrupted through either a Neimark–Sacker or period-doubling bifurcation. The corresponding one-parameter bifurcation manifolds delineate the regions in which further destabilisation occurs, finally leading to chaos. Furthermore, it is shown that the Floquet multipliers along the Neimark–Sacker bifurcation curve signal the synchronisation on the torus. Bi-stability also occurs in the system and is shown to originate from the generalised period-doubling and Chenciner bifurcations. The identification of regions in the parameter space where bi-stability occurs is important for applications which exploit such bi-stability to achieve controlled reorientation of the magnetisation and/or the switching from one voltage state to another.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108777"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725218","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

Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108799

Sifeu Takougang Kingni , Paul Woafo

{"title":"Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators","authors":"Sifeu Takougang Kingni , Paul Woafo","doi":"10.1016/j.cnsns.2025.108799","DOIUrl":"10.1016/j.cnsns.2025.108799","url":null,"abstract":"<div><div>In recent years, the effects of heredity on dynamical systems have been analysed using the fractional derivative. But, another way of considering the heredity is the integral formulation</div><div>proposed by Vito Volterra in 1912 and later almost forgotten. It can also be termed as long duration feedback. This paper presents some of the results of this formulation of the heredity on the dynamics of a linear harmonic oscillator and on that of the Duffing oscillator which are representatives of oscillating mechanical structures. For the linear oscillator, the heredity amplifies the vibration amplitude and shifts the resonance frequency to higher values. For the hereditary hardening Duffing oscillator, the analysis of the stability of the single equilibrium point reveals the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. This leads to self-sustained oscillations which are determined mathematically using the averaging method and confirmed numerically. The heredity also modifies the length of the hysteresis domain through the change of the effective stiffness and damping coefficients. It can also be a source of chaos in a system free of chaos which can appear through quasiperiodic routes and period-doubling. For the hereditary Duffing oscillator with single hump and double well potential or the bistable Duffing oscillator with three equilibrium points, one also finds the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. The hereditary bistable Duffing oscillator unveils monostable and bistable periodic characteristics, period doubling to monostable and bistable chaos and coexistence between chaotic and periodic characteristics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108799"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725217","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

Two-grid FEM for fractional diffusion problems with limited regularity

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-22 DOI: 10.1016/j.cnsns.2025.108776

Mariam Al-Maskari, Samir Karaa

引用次数: 0

Bivariate substitutions from analytic kernels to fractional differintegral operators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-21 DOI: 10.1016/j.cnsns.2025.108774

Sunday Simon Isah , Arran Fernandez , Mehmet Ali Özarslan

引用次数: 0

Sharkovskii theorem for infinite dimensional dynamical systems