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Global attractor for an age-structured HIV model with nonlinear incidence rate
IF 3.7 2区 数学
Applied Mathematics Letters Pub Date : 2024-12-18 DOI: 10.1016/j.aml.2024.109428
Ru Meng, Tingting Zheng, Yantao Luo, Zhidong Teng
{"title":"Global attractor for an age-structured HIV model with nonlinear incidence rate","authors":"Ru Meng, Tingting Zheng, Yantao Luo, Zhidong Teng","doi":"10.1016/j.aml.2024.109428","DOIUrl":"https://doi.org/10.1016/j.aml.2024.109428","url":null,"abstract":"Using the method of characteristics and defining one auxiliary function, we prove the existence of global attractor for a general age-structured HIV model, which can be used to solve the uniformly persistence problem in the Kumar and Abbas (2022).","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"17 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874398","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
Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains 二维多重连接有界域中具有非均质滑动边界条件的稳态纳维-斯托克斯方程的存在定理
IF 1.2 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2024-12-18 DOI: 10.1007/s00021-024-00907-x
Giovanni P. Galdi, Tatsuki Yamamoto
{"title":"Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains","authors":"Giovanni P. Galdi,&nbsp;Tatsuki Yamamoto","doi":"10.1007/s00021-024-00907-x","DOIUrl":"10.1007/s00021-024-00907-x","url":null,"abstract":"<div><p>We study the nonhomogeneous boundary value problem for the steady-state Navier–Stokes equations under the slip boundary conditions in two-dimensional multiply-connected bounded domains. Employing the approach of Korobkov-Pileckas-Russo (Ann. Math. 181(2), 769-807, 2015), we prove that this problem has a solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary data. We also show that such an assumption on the friction coefficient is redundant for the existence of a solution in the case when the fluxes across each connected component of the boundary are sufficiently small, or the domain and the given data satisfy certain symmetry conditions. The crucial ingredient of our proof is the fact that the total head pressure corresponding to the solution to the steady Euler equations takes a constant value on each connected component of the boundary.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"27 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142845051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fixed-/predefined-time stability of impulsive fuzzy neural networks: Lyapunov method with indefinite derivative
IF 3.9 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-18 DOI: 10.1016/j.cnsns.2024.108542
Luke Li, Qintao Gan, Ruihong Li, Qiaokun Kang, Huaiqin Wu
{"title":"Fixed-/predefined-time stability of impulsive fuzzy neural networks: Lyapunov method with indefinite derivative","authors":"Luke Li, Qintao Gan, Ruihong Li, Qiaokun Kang, Huaiqin Wu","doi":"10.1016/j.cnsns.2024.108542","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108542","url":null,"abstract":"In this article, the fixed-/predefined-time stability (FXTS/PTS) problems of impulsive fuzzy neural networks are concerned. Under the framework of Filippov solution, some more comprehensive FXTS/PTS theorems of discontinuous impulsive systems are first established by employing the Lyapunov method. Compared to most existing results, which require the Lyapunov function (LF) to be negative or semi-negative definite, the unique novelty of the Lyapunov method lies in the derivative of the LF possessing indefiniteness. Besides, more general impulse effects with time-varying impulse strength are especially considered in this article. Then the obtained FXTS/PTS theorems are further utilized to deal with the FXTS/PTS problems of impulsive fuzzy neural networks by developing different control strategies. Two numerical simulations are proposed to illustrate the effectiveness of the achieved results.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"48 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142887056","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
Quantum security of Trojan message attacks on Merkle–Damgård hash construction
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2024-12-18 DOI: 10.1007/s10623-024-01538-z
Ying Xu, Xiaoni Du, Jian Zou
{"title":"Quantum security of Trojan message attacks on Merkle–Damgård hash construction","authors":"Ying Xu, Xiaoni Du, Jian Zou","doi":"10.1007/s10623-024-01538-z","DOIUrl":"https://doi.org/10.1007/s10623-024-01538-z","url":null,"abstract":"<p>In this paper, we promote Trojan message attacks against Merkle–Damgård hash functions and their concatenation combiner in quantum settings for the first time. Two main quantum scenarios are considered, involving the scenarios where a substantial amount of cheap quantum random access memory (qRAM) is available and where qRAM is limited and expensive to access. We first discuss the construction of diamond structures and analyze the corresponding time complexity in both of these quantum scenarios. Secondly, we propose quantum versions of the generic Trojan message attacks on Merkle–Damgård hash functions as well as their improved versions by combining with diamond structures and expandable messages, and then determine their cost. Finally, we propose Trojan message attack against Merkle–Damgård hash concatenation combiner in quantum setting. The results show that Trojan message attacks can be improved significantly with quantum computers under both scenarios, so the security of hash constructions in classical setting requires careful re-evaluation before being deployed to the post-quantum cryptography schemes.</p>","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"260 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142849040","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
On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
IF 3.9 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-18 DOI: 10.1016/j.cnsns.2024.108498
Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt, Marcel Guardia, Alexandre Pousse
{"title":"On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites","authors":"Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt, Marcel Guardia, Alexandre Pousse","doi":"10.1016/j.cnsns.2024.108498","DOIUrl":"https://doi.org/10.1016/j.cnsns.2024.108498","url":null,"abstract":"Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar perturbation, assuming that the Moon lies on the ecliptic plane. The secular Hamiltonian defined in that way is characterized by two timescales. We compare the location and stability of the fixed points associated with the secular Hamiltonian averaged with respect to the fast variable with the corresponding periodic orbits of the full system. Focusing on the orbit of the Galileo satellites, it turns out that the two dynamics cannot be confused, as the relative difference depends on the ratio between the semi-major axis of Galileo and the one of the Moon, that is not negligible. The result is relevant to construct rigorously the Arnold diffusion mechanism that can drive a natural growth in eccentricity that allows a satellite initially on a circular orbit in Medium Earth Orbit to reenter into the Earth’s atmosphere.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886868","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 nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem
IF 1.7 3区 数学
Advances in Computational Mathematics Pub Date : 2024-12-18 DOI: 10.1007/s10444-024-10216-6
Xiaojuan Liu, Maojun Li, Tao Yin, Shangyou Zhang
{"title":"A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem","authors":"Xiaojuan Liu,&nbsp;Maojun Li,&nbsp;Tao Yin,&nbsp;Shangyou Zhang","doi":"10.1007/s10444-024-10216-6","DOIUrl":"10.1007/s10444-024-10216-6","url":null,"abstract":"<div><p>This paper studies the finite element method for solving the exterior Stokes problem in two dimensions. A nonlocal boundary condition is defined using a nonsingular-kernel Dirichlet-to-Dirichlet (DtD) mapping, which maps the Dirichlet data on an interior circle to the Dirichlet data on another circular artificial boundary based on the Poisson integral formula of the Stokes problem. The truncated problem is then solved using the MINI-element method and a simple DtD iteration strategy, resulting into a sequence of unique and geometrically (<i>h</i>- independent) convergent solutions. The quasi-optimal error estimate is proved for the iterative solution at the end of the iteration process. Numerical experiments are presented to demonstrate the accuracy and efficiency of the proposed method.</p></div>","PeriodicalId":50869,"journal":{"name":"Advances in Computational Mathematics","volume":"51 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Optimal combinatorial neural codes via symmetric designs
IF 1.6 2区 数学
Designs, Codes and Cryptography Pub Date : 2024-12-18 DOI: 10.1007/s10623-024-01534-3
Xingyu Zheng, Shukai Wang, Cuiling Fan
{"title":"Optimal combinatorial neural codes via symmetric designs","authors":"Xingyu Zheng, Shukai Wang, Cuiling Fan","doi":"10.1007/s10623-024-01534-3","DOIUrl":"https://doi.org/10.1007/s10623-024-01534-3","url":null,"abstract":"<p>Combinatorial neural (CN) codes are binary codes introduced firstly by Curto et al. for asymmetric channel, and then are further studied by Cotardo and Ravagnani under the metric <span>(delta _r)</span> (called asymmetric discrepancy) which measures the differentiation of codewords in CN codes. When <span>(r&gt;1)</span>, CN codes are different from the usual error-correcting codes in symmetric channel (<span>(r=1)</span>). In this paper, we focus on the optimality of some CN codes with <span>(r&gt;1)</span>. An upper bound for the size of CN codes with <span>(delta _r=r+1)</span> is deduced, by discussing the relationship between such CN codes and error-detecting codes for asymmetric channels, which is shown to be tight in this case. We also propose an improved Plotkin bound for CN codes. Notably, by applying symmetric designs related with Hadamard matrices, we not only generalize one former construction of optimal CN codes by bent functions obtained by Zhang et al. (IEEE Trans Inf Theory 69:5440–5448, 2023), but also obtain seven classes of new optimal CN codes meeting the improved Plotkin bound.</p>","PeriodicalId":11130,"journal":{"name":"Designs, Codes and Cryptography","volume":"8 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841501","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
The emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillators
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115919
P. Yogamarish, I. Raja Mohamed
{"title":"The emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillators","authors":"P. Yogamarish, I. Raja Mohamed","doi":"10.1016/j.chaos.2024.115919","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115919","url":null,"abstract":"This paper introduces a novel ring of three identical second-order non-autonomous oscillators, a unique configuration, that are coupled unidirectionally via threshold controllers. This configuration, with threshold controllers employed both within the oscillators and for coupling, facilitates the generation of multi-scroll chaotic rotating waves. The system demonstrates various dynamics, including periodic, quasi-periodic, and chaotic regimes, as control parameters are varied. It is delved into the transition from constant phase difference to phase synchronization using Hilbert transform analysis and investigated the underlying mechanisms driving these behaviours. The research is further validated through a rigorous process, including real-time analog simulation and numerical studies such as bifurcation diagrams and Lyapunov exponent analysis, ensuring the reliability of our findings.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"20 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Normalizers and centralizers of subnormal subsystems of fusion systems
IF 1 2区 数学
Journal of the London Mathematical Society-Second Series Pub Date : 2024-12-18 DOI: 10.1112/jlms.70048
Ellen Henke
{"title":"Normalizers and centralizers of subnormal subsystems of fusion systems","authors":"Ellen Henke","doi":"10.1112/jlms.70048","DOIUrl":"https://doi.org/10.1112/jlms.70048","url":null,"abstract":"<p>Every saturated fusion system corresponds to a group-like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"111 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70048","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861446","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
Impact of pump power on Lyot filtering effect in mode-locked fiber lasers
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115922
Luyao Zhou, Lie Liu, Ying Han, Honglin Wen, Yingying Li, Qi Li, Chunyang Ma, Ge Wu, Bo Gao
{"title":"Impact of pump power on Lyot filtering effect in mode-locked fiber lasers","authors":"Luyao Zhou, Lie Liu, Ying Han, Honglin Wen, Yingying Li, Qi Li, Chunyang Ma, Ge Wu, Bo Gao","doi":"10.1016/j.chaos.2024.115922","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115922","url":null,"abstract":"Filtering effects, which can achieve multi-wavelength in mode-locked fiber lasers, are currently being investigated, including communications and industry. In this study, we systematically investigate the impact of pump power on the operation of the filter in mode-locked fiber lasers. An all-normal dispersion ytterbium-doped fiber laser was employed to investigate hybrid filtering structures combining a Lyot filter and a nonlinear optical loop mirror (NOLM), both experimentally and theoretically. Furthermore, we identified a specific pump power range, from 570.5 mW to 748.9 mW, within which the Lyot filter operates effectively, facilitating transitions between single- and multi-wavelength outputs. We theoretically explain how pump power governs the operational state of the Lyot filter, enabling precise control over spectral modulation. This work demonstrates the influence of power on filtering and presents a versatile nonlinear system for generating and analyzing multi-wavelengths, facilitating the optimization and customization of the output spectrum.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"51 2 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
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