Applied Mathematical Modelling最新文献

{"title":"Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach","authors":"Roger Miranda-Colorado ,&nbsp;Jesús A. Rodríguez-Arellano ,&nbsp;Luis T. Aguilar","doi":"10.1016/j.apm.2025.116226","DOIUrl":"10.1016/j.apm.2025.116226","url":null,"abstract":"<div><div>A crane system has a variety of applications in industry and for research purposes. However, this system is underactuated and is always affected by disturbances, which compromises the controller design stage. Then, this work develops a new control scheme to control two-dimensional (2D) perturbed overhead cranes. The new proposal separates the controller into two parts. The first controller component is utilized to compensate for disturbances. The second control consists of a switching controller combining a variable-gain scheme and a variable-structure methodology. The new proposal attains prescribed-time convergence for the unperturbed case and asymptotic convergence for the perturbed case. Extensive simulations demonstrate that the tracking errors exhibit low values with low power demands under different initial conditions and matched and unmatched disturbances while payload oscillations are attenuated effectively. Besides, experiments demonstrate the superiority of the novel control methodology with the lowest tracking errors in the trolley and rope; also, payload variations are reduced to half of the value obtained with the best of the controllers used for comparison, demonstrating the appealing features of the new proposal.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116226"},"PeriodicalIF":4.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Synchronization of bursting oscillations in coupled FitzHugh-Nagumo neurons","authors":"Haolan Wang,&nbsp;Danjin Zhang,&nbsp;Youhua Qian","doi":"10.1016/j.apm.2025.116219","DOIUrl":"10.1016/j.apm.2025.116219","url":null,"abstract":"<div><div>The research of bursting oscillations in neuronal models not only enriches the study of nonlinear dynamics, but also deepens the understanding of the working mechanism of the brain. A coupled FitzHugh-Nagumo (FHN) neuron model can be simulated by connecting two resistor-inductor-capacitor circuits via a resistor. Taking into account the external excitation as a slow variable, the FHN neuron model can be converted into a generalized autonomous system. Fast-slow analysis is used to investigate the phenomenon of bursting oscillations produced by two identical neurons and two non-identical neurons independently. By examining the superposition of the equilibrium curves with the transformed phase diagrams, the generation mechanisms of the six bursting oscillation behaviors are revealed. Meanwhile, the synchronization phenomenon between two neurons is verified in conjunction with the related synchronization theory. Furthermore, the cause for the antiphase synchronization of the system generating bursting oscillations is elaborated.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116219"},"PeriodicalIF":4.4,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Research on basin ecological compensation in the Yangtze River Economic Belt based on the three-way-decision theory","authors":"Zuliang Lu ,&nbsp;Junman Li ,&nbsp;Lu Xing ,&nbsp;Mingsong Li ,&nbsp;Zhihui Cao ,&nbsp;Zhuran Xiang","doi":"10.1016/j.apm.2025.116215","DOIUrl":"10.1016/j.apm.2025.116215","url":null,"abstract":"<div><div>Nowadays, increasing pollution problems in major basins in China are becoming serious due to the acceleration of urbanization, and transboundary pollution problems are particularly deteriorating. The pollutants generated by production in the upstream area enter the midstream area with water flow and eventually reach the downstream area, causing adverse effects on the local ecological environment and people's health and even the whole country. To address this issue, a basin ecological compensation model was established in this study. This model includes a series of indicators and parameters that may affect the government's revenue, such as subsidies or penalties. Compared with most other existing research results, the innovation in this paper and marginal contributions of this paper are as follows: (1) In this study, we clarify the usual division of the role among the upstream, midstream, and downstream in basin ecological compensation. Introducing “the midstream area” expands a two-party evolutionary game into the three-party evolutionary game. This is very helpful to sort out the conflicts of interest among various stakeholders in the system. In addition, the model combines the three-way-decision theory to expand strategies that governments can choose in the game. (2) We draw inspiration from rough set theory based decision-making methods and introduce the three-way decision theory to handle uncertainty, forming three decision options: accept, reject, and deferment. This decision-making approach is more in line with the decision-making process of stakeholders in reality and can reduce the risks brought by uncertainty. The established ecological compensation model in this paper predicted strategy decisions of the upstream, midstream, and downstream governments on various emerging issues. (3) In empirical simulation, taking the Yangtze River Economic Belt in China as a case study, and Hubei Province, Anhui Province, and Jiangsu Province as main research objects, the feasibility and effectiveness of the model were verified through numerical simulation. The following conclusions are drawn in this paper: (i) The change in the initial probability of each government will not alter the final evolutionary result of the entire evolutionary game system, but will alter the system's evolutionary process; (ii) When the government tends to choose negative or deferment decision, other governments may be in a hesitant state in the short term; (iii) Changes in the initial conditional probability of Anhui Province will affect the decision-making evolutionary time of Hubei Province and Jiangsu Province when other conditions remain constant. This study provides an effective approach to protect the sustainable development of basins and improve related ecological compensation policies.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116215"},"PeriodicalIF":4.4,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Gradient-free score-based sampling methods with ensembles","authors":"Bryan Riel ,&nbsp;Tobias Bischoff","doi":"10.1016/j.apm.2025.116224","DOIUrl":"10.1016/j.apm.2025.116224","url":null,"abstract":"<div><div>Recent developments in generative modeling have utilized score-based methods coupled with stochastic differential equations to sample from complex probability distributions. However, these and other performant sampling methods generally require gradients of the target probability distribution, which can be unavailable or computationally prohibitive in many scientific and engineering applications. Here, we introduce ensembles within score-based sampling methods to develop gradient-free approximate sampling techniques that leverage the collective dynamics of particle ensembles to compute approximate reverse diffusion drifts. We introduce the underlying methodology, emphasizing its relationship with generative diffusion models and the previously introduced Föllmer sampler. We demonstrate the efficacy of the ensemble strategies through various examples, ranging from low- to medium-dimensionality sampling problems, including multi-modal and highly non-Gaussian probability distributions, and provide comparisons to traditional methods like the No-U-Turn Sampler. Additionally, we showcase these strategies in the context of a high-dimensional Bayesian inversion problem within the geophysical sciences. Our findings highlight the potential of ensemble strategies for modeling complex probability distributions in situations where gradients are unavailable.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116224"},"PeriodicalIF":4.4,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Inference for stress-strength reliability based on k-out-of-n system with different exponentiated gamma components","authors":"Junhao Liu,&nbsp;Ancha Xu,&nbsp;Bing Xing Wang,&nbsp;Yang Zhang","doi":"10.1016/j.apm.2025.116221","DOIUrl":"10.1016/j.apm.2025.116221","url":null,"abstract":"<div><div>In this study, we consider a stress-strength model of the <em>k</em>-out-of-<em>n</em> system which has <em>n</em> statistically independent and different strength components. The components of the system are exposed to a common random stress, and the component strengths and the common stress follow different exponentiated gamma (EG) distributions. The inverse moment estimator and the maximum likelihood estimator of the reliability of this stress-strength model are obtained. Furthermore, the generalized confidence intervals and bootstrap-<em>p</em> confidence intervals of the reliability of stress-strength model for the EG <em>k</em>-out-of-<em>n</em> system are derived. Using Monte Carlo simulation, the performance of the proposed estimators and confidence intervals is assessed in terms of mean absolute error, mean squared error, and coverage probability, respectively. Finally, a real data set is applied to illustrate the proposed procedures.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116221"},"PeriodicalIF":4.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Saffman-Taylor fingering instabilities in shear-thinning fluids displacing Newtonian fluids","authors":"A.J. Hutchinson","doi":"10.1016/j.apm.2025.116206","DOIUrl":"10.1016/j.apm.2025.116206","url":null,"abstract":"<div><div>We investigate the radial injection of a shear-thinning fluid, initially occupying a disk of a given radius, into the narrow gap between two parallel plates, displacing a viscous Newtonian fluid. In the Newtonian analogue, the Saffman-Taylor fingering instability occurs when a more viscous fluid is displaced by a less viscous one. Further complications arise when the displacing fluid is shear-thinning because its viscosity increases with radial distance from the source. A linear stability analysis, in which sinusoidal perturbations to the interface between the two fluids are considered, shows that each disturbance, characterised by a mode number, has a corresponding radius that governs the stability of that mode. These radii increase with mode number, approaching a critical radius. If the radius of the initial disk is greater than this critical radius, all modes are stable and the fingering instability is suppressed. This critical radius depends on the ratio of the viscosity of the displaced Newtonian fluid and another viscosity corresponding to the shear-thinning fluid, which we will refer to as the effective viscosity. The theoretical results are contrasted with observations from laboratory experiments. Significant discrepancies between theory and experiment suggest that the underlying physics governing stability is not yet fully understood. We consider various improvements to the model, and by once again comparing theory and experiment, we show that surface tension does not appear to play a pivotal role, but that wall-slip potentially leads to substantial changes in the theoretical predictions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116206"},"PeriodicalIF":4.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Corrigendum to “Estimating the prevalence of terrorism under control policies. A statistical modelling approach” [Applied Mathematical Modelling Volume 137, Part A (2025) 115642]","authors":"Vasileios E. Papageorgiou","doi":"10.1016/j.apm.2025.116196","DOIUrl":"10.1016/j.apm.2025.116196","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116196"},"PeriodicalIF":4.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A layer-by-layer optimization strategy to constitute optimal material distribution of 3D spatial shells by stacking deformation-controlled 2D plain layers","authors":"Jiang Ding ,&nbsp;Zhi Xing ,&nbsp;Ziyang Zeng ,&nbsp;Kunliang Xie","doi":"10.1016/j.apm.2025.116225","DOIUrl":"10.1016/j.apm.2025.116225","url":null,"abstract":"<div><div>The stiffness of a shell is conclusively influenced by the distribution of its material. To obtain the optimal material distribution of 3D spatial shells at a reasonable computational cost, this paper proposes a layer-by-layer optimization strategy with controllable deformation. In this strategy, the 3D spatial shell is divided into finite layers in the thickness dimension, and the deformations of each layer are constrained by the presupposed target volume in the matching optimization cycle. During the optimization cycle, to minimize the computational cost, we use a dimension-reduced level set method (DR-LSM), wherein the optimal 2D plane layers of the 3D spatial shell are iterated in the 2D domain using a uniform initial design. The optimized 2D plane layers are sequentially stacked to construct the optimal material distribution of the 3D spatial shell. Both numerical calculations and experimental results demonstrate that the proposed strategy successfully achieves an optimal material distribution for 3D spatial shells while preserving their original geometric characteristics and eliminating cavity structures. Notably, the stiffness of shells with different curvatures is significantly enhanced without altering its volume and mass, proving the stability and effectiveness of this strategy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116225"},"PeriodicalIF":4.4,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability","authors":"Yu Zhang,&nbsp;Huantong Liu,&nbsp;Lixia Gao,&nbsp;Hongwei Qiao,&nbsp;Jiacheng Luo,&nbsp;Pengzhou Li","doi":"10.1016/j.apm.2025.116218","DOIUrl":"10.1016/j.apm.2025.116218","url":null,"abstract":"<div><div>Wire-wrapped rods are widely used in liquid metal reactors. Under the excitation of high temperature fluids, the wire-wrapped rod will undergo flow-induced vibration, which is a key factor to evaluate the safe operation of reactors. However, there is still a lack of detailed theoretical research on flow-induced vibration of wire-wrapped rod. In order to deepen the understanding of the dynamic behavior of wire-wrapped rod, the non-planar theoretical model is derived based on Hamilton's principle, and the collision and friction between the wire and adjacent rods are considered. This paper also provides a method to obtain the time history of turbulent excitation force through the power spectral density. Comparison with experimental results strongly validates the reliability of the proposed theoretical model. In the first part of the work, we quantitatively investigate the influence of four system parameters on the critical velocities for both static and dynamic instability of the wire-wrapped rod. The study reveals the existence of post-bucking supercritical Hopf bifurcation and the occurrence of stable limit cycle oscillations at high flow velocities. This theoretical model provides a fundamental framework for further research on the three-dimensional nonlinear vibrations of wire-wrapped rod.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116218"},"PeriodicalIF":4.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An accumulative time-delay multivariate grey model with nonlinear structure and its application","authors":"Ying Wang,&nbsp;Shuliang Li","doi":"10.1016/j.apm.2025.116199","DOIUrl":"10.1016/j.apm.2025.116199","url":null,"abstract":"<div><div>Existing studies on new energy vehicle sales forecasting are mostly based on univariate models, failing to fully consider external factors and their complex relationships. In addition, the traditional time-delay models and nonlinear models are limited to researching single effects among variables, ignoring the combined role of multiple effects in the actual system. Therefore, an accumulative time-delay multivariate model with a nonlinear structure is proposed by introducing time-delay and nonlinear parameters. The new model is a further extension of the common time-delay and nonlinear models, which can effectively capture the time-lag relationship and nonlinear effects among variables. Furthermore, the compatibility and scalar multiplication properties of the novel model are proven. Subsequently, the superior particle swarm optimization algorithm for optimizing parameters is determined by a Monte Carlo simulation and two statistical test methods. The comparative analysis and noise sensitivity test show that the novel model's accuracy and stability are superior to the other nine competing models. Ultimately, the new model is leveraged to anticipate the new energy vehicle sales in China and some suggestions are proposed.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116199"},"PeriodicalIF":4.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}