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Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz) 电磁波诱导神经跨膜电位的频率响应(1khz ~ 1ghz)
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-09-23 DOI: 10.1515/ijnsns-2021-0037
Z. Bakhtiary, M. Saviz
{"title":"Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)","authors":"Z. Bakhtiary, M. Saviz","doi":"10.1515/ijnsns-2021-0037","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0037","url":null,"abstract":"Abstract Many biophysical effects of electromagnetic radiation are interpreted based on the induced voltage on cellular membranes. It is very instructive to study wideband frequency responses showing how an impinging electromagnetic wave carrying a certain time waveform translates into a time-dependent change in the cell-membrane potentials in any desired tissue. A direct numerical solution of this problem with realistic models for the body and cells results in meshcells of nanometer dimensions, which is unaffordable for almost any computing machine. In this paper, we exploit a multiscale method with serial frequency responses to arrive at the final frequency response for the induced transmembrane potential changes in cerebral cells induced by electromagnetic waves incident on the body. The results show a bandpass characteristic; a frequency window of approximately 10 kHz to 100 MHz as the most sensitive frequency band for neuronal membrane sensing of external electromagnetic fields.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43100071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces 求解实数Hilbert空间中变分不等式的自适应梯度方法
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-09-19 DOI: 10.1515/ijnsns-2021-0459
Duong Viet Thong, Xiao-Huan Li, Q. Dong, Hoang Van Thang, Luong Van Long
{"title":"Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces","authors":"Duong Viet Thong, Xiao-Huan Li, Q. Dong, Hoang Van Thang, Luong Van Long","doi":"10.1515/ijnsns-2021-0459","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0459","url":null,"abstract":"Abstract The projection technique is a very important method and efficient for solving variational inequality problems. In this study, we developed the subgradient extragradient method for solving pseudomonotone variational inequality in real Hilbert spaces. Our first algorithm requires only computing one projection onto the feasible set per iteration and the strong convergence is proved without the prior knowledge of the Lipschitz constant as well as the sequentially weak continuity of the associated mapping. The second algorithm uses the linesearch procedure such that its convergence does not require the Lipschitz continuous condition of the variational inequality mapping. Finally, some numerical experiments are provided to demonstrate the advantages and efficiency of the proposed methods.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"917 - 937"},"PeriodicalIF":1.5,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47613052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global stability for a SEIQR worm propagation model in mobile internet 移动互联网中SEIQR蠕虫传播模型的全局稳定性
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-19 DOI: 10.1515/ijnsns-2021-0186
L. Zhang, Pengyan Liu
{"title":"Global stability for a SEIQR worm propagation model in mobile internet","authors":"L. Zhang, Pengyan Liu","doi":"10.1515/ijnsns-2021-0186","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0186","url":null,"abstract":"Abstract Recently, propagation models of worms in the mobile environment are drawing extensive attention, particularly in the Wi-Fi scenario. Considering that worm-free equilibrium is exponential convergent means that the propagation time and control time of worms are much shorter than for other asymptotic convergence. Besides, the global asymptotic stability of the endemic equilibrium is more important than the local asymptotic stability, which reflects the more global qualitative behavior of the worm propagation. In this paper, we discuss the global dynamics of SEIQR worm propagation model in mobile internet proposed by Xiao et al. [X. Xiao, P. Fu, C. Dou, Q. Li, G. Hu, and S. Xia, “Design and analysis of SEIQR worm propagation model in mobile internet,” Commun. Nonlinear Sci. Numer. Simulat., vol. 43, pp. 341–350, 2017] to improve and complement the related results. Through a series of mathematical derivations, sufficient conditions are derived to ensure the global exponentially stability of worm-free equilibrium, and the exponential convergent rate can be unveiled. Then, by using the classical geometric approach, it is shown that the endemic equilibrium is globally asymptotically stable and the system is persistent when R 0 > 1. Moreover, numerical simulations are given to demonstrate our theoretical results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"23 1","pages":"797 - 812"},"PeriodicalIF":1.5,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45425622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array 菱形椭圆阵列空腔内浮力驱动的流动特性
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-18 DOI: 10.1515/ijnsns-2021-0073
R. Chaabane, L. Kolsi, A. Jemni, A. D'Orazio
{"title":"Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array","authors":"R. Chaabane, L. Kolsi, A. Jemni, A. D'Orazio","doi":"10.1515/ijnsns-2021-0073","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0073","url":null,"abstract":"Abstract This study numerically investigates the two-dimensional natural convection in a square enclosure with an isothermal diamond elliptic array at Rayleigh numbers of 104 ≤ Ra ≤ 107. Three cases are considered, i.e., case 1 where two pairs of circular heating bodies are used inside the cavity, one is placed on the vertical centerline (VC) of the cavity and the other on the horizontal centerline (HC), case 2 where one pair of horizontal elliptic heating bodies is placed on the VC of the cavity and the other on the HC and case 3 where the horizontal elliptic heating bodies are replaced by vertical elliptic heating bodies. Numerical simulation was carried out based on the mesoscopic approach (LBM). The effects of the horizontally and vertically heated arrays were investigated. We demonstrate that, only when the Rayleigh number increases to Ra = 107, the numerical solutions reach an unsteady state for all cases. The transition of the flow regime from the unsteady state to the steady state depends on the variation in the ratio of the elliptical cylinder.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44661718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation （3+1）维Jimbo–Miwa方程的M-块波及其与多孤子解的相互作用
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-09 DOI: 10.1515/ijnsns-2021-0468
H. Ismael, S. El‐Ganaini, H. Bulut
{"title":"M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation","authors":"H. Ismael, S. El‐Ganaini, H. Bulut","doi":"10.1515/ijnsns-2021-0468","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0468","url":null,"abstract":"Abstract In this work, the dynamical behaviors of the Jimbo–Miwa equation that describes certain interesting (3 + 1)-dimensional waves in physics but does not pass any of the conventional integrability tests are studied. One-, two-, and three-M-lump waves are constructed successfully. Interactions between one-M-lump and one-soliton wave, between one-M-lump and two-soliton wave as well as between two-M-lump and one-soliton solution are reported. Also, complex multi-soliton, solutions are offered. The simplified Hirota’s method and a long-wave method are used to construct these types of solutions. The velocity of a one-M-lump wave is studied. Straight Lines of travel for M-lump waves are also reported. To our knowledge, all gained solutions in this research paper are novel and not reported beforehand. Moreover, the gained solutions are presented graphically in three dimensions to better understand the physical phenomena of the suggested equation.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"1221 - 1232"},"PeriodicalIF":1.5,"publicationDate":"2022-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48582969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Optimal control for a class of fractional order neutral evolution equations 一类分数阶中立型发展方程的最优控制
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-09 DOI: 10.1515/ijnsns-2021-0410
He Yang, Jihong Wang
{"title":"Optimal control for a class of fractional order neutral evolution equations","authors":"He Yang, Jihong Wang","doi":"10.1515/ijnsns-2021-0410","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0410","url":null,"abstract":"Abstract The optimal control, for a class of nonlinear neutral evolution equations involving Riemann–Liouville fractional derivative, is investigated in this paper by using Darbo–Sadovskii fixed point theorem. An example is given in the last section to illustrate the validity of the abstract conclusions.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"1233 - 1248"},"PeriodicalIF":1.5,"publicationDate":"2022-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42888175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shehu transform on time-fractional Schrödinger equations – an analytical approach 时间分数阶薛定谔方程的Shehu变换——一种分析方法
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-08 DOI: 10.1515/ijnsns-2021-0423
Mamta Kapoor
{"title":"Shehu transform on time-fractional Schrödinger equations – an analytical approach","authors":"Mamta Kapoor","doi":"10.1515/ijnsns-2021-0423","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0423","url":null,"abstract":"Abstract In the present study, time-fractional Schrödinger equations are dealt with for the analytical solution using an integral transform named Shehu Transform. Three kinds of time-fractional Schrödinger equations are discussed in the present study. Shehu transform is utilized to reduce the time-fractional PDE along with the fractional derivative in the Caputo sense. The present method is easy to implement in the search for an analytical solution. As no discretization or numerical program is required, the present scheme will surely be helpful in finding the analytical solution to some complex-natured fractional PDEs.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41438278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Trajectory controllability of nonlinear fractional Langevin systems 非线性分式Langevin系统的轨迹可控性
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-05 DOI: 10.1515/ijnsns-2021-0358
Govindaraj Venkatesan, Suresh Kumar Pitchaikkannu
{"title":"Trajectory controllability of nonlinear fractional Langevin systems","authors":"Govindaraj Venkatesan, Suresh Kumar Pitchaikkannu","doi":"10.1515/ijnsns-2021-0358","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0358","url":null,"abstract":"Abstract In this paper, we discuss the trajectory controllability of linear and nonlinear fractional Langevin dynamical systems represented by the Caputo fractional derivative by using the Mittag–Leffler function and Gronwall–Bellman inequality. For the nonlinear system, we assume Lipschitz-type conditions on the nonlinearity. Examples are given to illustrate the theoretical results.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":"24 1","pages":"1079 - 1093"},"PeriodicalIF":1.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46247133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential 具有Clarke子微分的非瞬时脉冲二阶随机McKean-Vlasov演化系统的最优控制
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-08-03 DOI: 10.1515/ijnsns-2021-0321
K. Anukiruthika, N. Durga, P. Muthukumar
{"title":"Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential","authors":"K. Anukiruthika, N. Durga, P. Muthukumar","doi":"10.1515/ijnsns-2021-0321","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0321","url":null,"abstract":"Abstract The optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential and mixed fractional Brownian motion is investigated in this article. The deterministic nonlinear second-order controlled partial differential system is enriched with stochastic perturbations, non-instantaneous impulses, and Clarke subdifferential. In particular, the nonlinearities in the system that rely on the state of the solution are allowed to rely on the corresponding probability distribution of the state. The solvability of the considered system is discussed with the help of stochastic analysis, multivalued analysis, and multivalued fixed point theorem. Further, the existence of optimal control is established with the aid of Balder’s theorem. Finally, an example is provided to illustrate the developed theory.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46345654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary 具有可渗透边界的双收缩锥形管中流体流动的数学模型
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-07-11 DOI: 10.1515/ijnsns-2021-0244
Varunkumar Merugu, Muthu Poosan
{"title":"Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary","authors":"Varunkumar Merugu, Muthu Poosan","doi":"10.1515/ijnsns-2021-0244","DOIUrl":"https://doi.org/10.1515/ijnsns-2021-0244","url":null,"abstract":"Abstract In this paper, a mathematical model for the steady laminar, incompressible and Newtonian fluid flow in a proximal renal tubule is presented. In this, the tubule is considered as a tapered tube with double constriction and permeable boundary. The impact of the fluid reabsorption across the tubule wall is assumed as the occurrence of exponentially decreasing flow at each cross-section. The present model is formulated through the Navier–Stokes equations, under the appropriate boundary conditions. A regular perturbation technique is used to obtain the approximate solutions. This study brings out the significant impacts of reabsorption coefficient (α) and tapered angle (ϕ) on the flow variables such as velocities, the drop in pressure, and wall shear stress are discussed through graphs. The streamlines are also plotted to understand the influence of the reabsorption and tapering phenomena on the flow.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41398586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","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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