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现代非线性理论与应用(英文)最新文献

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On Decomposition of New Kinds of Continuity in Bitopological Space 论双拓扑空间中新型连续性的分解
现代非线性理论与应用(英文) Pub Date : 2017-07-24 DOI: 10.4236/IJMNTA.2017.63009
H. Al-Malki, S. Al-Blowi
{"title":"On Decomposition of New Kinds of Continuity in Bitopological Space","authors":"H. Al-Malki, S. Al-Blowi","doi":"10.4236/IJMNTA.2017.63009","DOIUrl":"https://doi.org/10.4236/IJMNTA.2017.63009","url":null,"abstract":"In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces (a function from X to Y is continuous if the inverse image of each open set of Y is open in X) is studied via this new classes of sets. Here the authors also introduce new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set in bitopological space [1] which is a set with two topologies defined on it, then they study the notion of continuity via this set and introduce some of the theories which are studying the decomposition of continuity via this set in bitopological space.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"98-103"},"PeriodicalIF":0.0,"publicationDate":"2017-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42980713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation 高阶非线性kirchhoff型方程随机强阻尼的随机吸引子
现代非线性理论与应用(英文) Pub Date : 2017-06-14 DOI: 10.4236/IJMNTA.2017.62005
Guoguang Lin, Ling Chen, Wei Wang
{"title":"Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation","authors":"Guoguang Lin, Ling Chen, Wei Wang","doi":"10.4236/IJMNTA.2017.62005","DOIUrl":"https://doi.org/10.4236/IJMNTA.2017.62005","url":null,"abstract":"In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with random term by using Ornstein-Uhlenbeck process and establish the wellness of the solution, then the existence of global random attractor are proved.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"59-69"},"PeriodicalIF":0.0,"publicationDate":"2017-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44453654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Robust Model-Free Software Sensors for the HIV/AIDS Infection Process 用于HIV/AIDS感染过程的鲁棒无模型软件传感器
现代非线性理论与应用(英文) Pub Date : 2017-06-14 DOI: 10.4236/IJMNTA.2017.62004
H. Alazki, A. Poznyak
{"title":"Robust Model-Free Software Sensors for the HIV/AIDS Infection Process","authors":"H. Alazki, A. Poznyak","doi":"10.4236/IJMNTA.2017.62004","DOIUrl":"https://doi.org/10.4236/IJMNTA.2017.62004","url":null,"abstract":"This paper considers the problem of the HIV/AIDS Infection Process filtering characterized by three compounds, namely, the number of healthy T-cells, the number of infected T-cells and free virus particles. Only the first and third of them can be measurable during the medical treatment process. Moreover, the exact parameter values are admitted to be also unknown. So, here we deal with an uncertain dynamic model that excludes the application of classical filtering theory and requires the application of robust filters successfully working in the absence of a complete mathematical model of the considered process. The problem is to estimate the number of infected T-cells based on the available information. Here we admit the presence of stochastic “white noise” in current observations. To do that we apply the Luenberger-like filter (software sensor) with a matrix gain, which should be adjusted at the beginning of the process in such a way that the filtering error would be as less as possible using the Attractive Ellipsoid Method (AEM). It is shown that the corresponding trajectories of the filtering error converge to an ellipsoidal set of a prespecified form in mean-square sense. To generate the experimental data sequences in the test-simulation example, we have used the well-known simplified HIV/ AIDS model. The obtained results confirm the effectiveness of the suggested approach.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"39-58"},"PeriodicalIF":0.0,"publicationDate":"2017-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41819724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators 混沌强迫Duffing和Van der Pol振荡器的非线性控制
现代非线性理论与应用(英文) Pub Date : 2017-01-11 DOI: 10.4236/IJMNTA.2017.61003
Mohammed A. Alghassab, Amr Mahmoud, M. Zohdy
{"title":"Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators","authors":"Mohammed A. Alghassab, Amr Mahmoud, M. Zohdy","doi":"10.4236/IJMNTA.2017.61003","DOIUrl":"https://doi.org/10.4236/IJMNTA.2017.61003","url":null,"abstract":"This paper discusses a novel technique and implementation to perform nonlinear control for two different forced model state oscillators and actuators. The paper starts by discussing the Duffing oscillator which features a second order non-linear differential equation describing complex motion whereas the second model is the Van der Pol oscillator with non-linear damping. A first order actuator is added to both models to expand on the chaotic behavior of the oscillators. In order to control the system without comprising linearization, Lyapunov non-linear control was used. A control Lyapunov function was tailored to the system. This led to improved maneuverability of the controller and the performance of the overall system. The controller was found to be highly efficient in system tracking and had swift response time. Simulations were performed on both the uncontrolled and controlled cases. Both simulation results ultimately confirmed the effectiveness of the proposed controller.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"26-37"},"PeriodicalIF":0.0,"publicationDate":"2017-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46481724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
On Local Existence and Blow-Up of Solutions for Nonlinear Wave Equations of Higher-Order Kirchhoff Type with Strong Dissipation 高阶强耗散Kirchhoff型非线性波动方程解的局部存在性和爆破
现代非线性理论与应用(英文) Pub Date : 2017-01-11 DOI: 10.4236/IJMNTA.2017.61002
Guoguang Lin, Yunlong Gao, Yuting Sun
{"title":"On Local Existence and Blow-Up of Solutions for Nonlinear Wave Equations of Higher-Order Kirchhoff Type with Strong Dissipation","authors":"Guoguang Lin, Yunlong Gao, Yuting Sun","doi":"10.4236/IJMNTA.2017.61002","DOIUrl":"https://doi.org/10.4236/IJMNTA.2017.61002","url":null,"abstract":"In this paper, we study on the initial-boundary value problem for nonlinear wave equations of higher-order Kirchhoff type with Strong Dissipation: . At first, we prove the existence and uniqueness of the local solution by the Banach contraction mapping principle. Then, by “Concavity” method we establish three blow-up results for certain solutions in the case 1): , in the case 2): and in the case 3): . At last, we consider that the estimation of the upper bounds of the blow-up time is given for deferent initial energy.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"11-25"},"PeriodicalIF":0.0,"publicationDate":"2017-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43069198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Super-Twisting Control of the Duffing-Holmes Chaotic System Duffing-Holmes混沌系统的超扭转控制
现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI: 10.4236/IJMNTA.2016.54016
F. A. Khadra
{"title":"Super-Twisting Control of the Duffing-Holmes Chaotic System","authors":"F. A. Khadra","doi":"10.4236/IJMNTA.2016.54016","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.54016","url":null,"abstract":"In this paper, a super twisting controller (STC) is designed to control the chaotic behavior of the Duffing-Holmes system in stabilization and tracking cases. Due to lack of availability of the performance evaluation of STC in controlling Duffing-Holmes system, this paper aims to test the performance of STC in controlling Duffing-Holmes system. In order to achieve this control design, a modification of the conventional super twisting algorithm is adapted. Numerical simulations showed that the modified STC had high performance and ability to ensure robustness with respect to bounded external disturbances.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"160-170"},"PeriodicalIF":0.0,"publicationDate":"2016-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70707274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Approximate Inertial Manifold for a Class of the Kirchhoff Wave Equations with Nonlinear Strongly Damped Terms 一类非线性强阻尼Kirchhoff波动方程的近似惯性流形
现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI: 10.4236/IJMNTA.2016.54020
Chengfei Ai, Huixian Zhu, Guoguang Lin
{"title":"Approximate Inertial Manifold for a Class of the Kirchhoff Wave Equations with Nonlinear Strongly Damped Terms","authors":"Chengfei Ai, Huixian Zhu, Guoguang Lin","doi":"10.4236/IJMNTA.2016.54020","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.54020","url":null,"abstract":"This paper is devoted to the long time behavior of the solution to the initial boundary value problems for a class of the Kirchhoff wave equations with nonlinear strongly damped terms: . Firstly, in order to prove the smoothing effect of the solution, we make efficient use of the analytic property of the semigroup generated by the principal operator of the equation in the phase space. Then we obtain the regularity of the global attractor and construct the approximate inertial manifold of the equation. Finally, we prove that arbitrary trajectory of the Kirchhoff wave equations goes into a small neighbourhood of the approximate inertial manifold after large time.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"218-234"},"PeriodicalIF":0.0,"publicationDate":"2016-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70707411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Modelling the Dynamical State of the Projected Primary and Secondary Intra-Solution-Particle Movement System of Efavirenz In-Vivo 模拟依非韦伦体内主要和次要溶液内粒子运动系统的动态状态
现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI: 10.4236/IJMNTA.2016.54021
T. Nemaura
{"title":"Modelling the Dynamical State of the Projected Primary and Secondary Intra-Solution-Particle Movement System of Efavirenz In-Vivo","authors":"T. Nemaura","doi":"10.4236/IJMNTA.2016.54021","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.54021","url":null,"abstract":"This work seeks to describe intra-solution particle movement system. It makes use of data obtained from simulations of patients on efavirenz. A system of ordinary differential equations is used to model movement state at some particular concentration. The movement states’ description is found for the primary and secondary level. The primary system is found to be predominantly an unstable system while the secondary system is stable. This is derived from the state of dynamic eigenvalues associated with the system. The saturated solution-particle is projected to be stable both for the primary potential and secondary state. A volume conserving linear system has been suggested to describe the dynamical state of movement of a solution particle.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"235-247"},"PeriodicalIF":0.0,"publicationDate":"2016-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70707187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term 具有非线性强阻尼项的高阶kirchhoff型方程的全局吸引子
现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI: 10.4236/IJMNTA.2016.54019
Yuting Sun, Yunlong Gao, Guoguang Lin
{"title":"The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term","authors":"Yuting Sun, Yunlong Gao, Guoguang Lin","doi":"10.4236/IJMNTA.2016.54019","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.54019","url":null,"abstract":"We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear \u0000damping σ and ?, we make assumptions (H1) \u0000- (H4). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"203-217"},"PeriodicalIF":0.0,"publicationDate":"2016-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70707250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation 离焦质量临界非线性Schrödinger方程的稳定性
现代非线性理论与应用(英文) Pub Date : 2016-09-16 DOI: 10.4236/IJMNTA.2016.53012
Guangqing Zhang
{"title":"On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation","authors":"Guangqing Zhang","doi":"10.4236/IJMNTA.2016.53012","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.53012","url":null,"abstract":"We consider the defocusing mass-critical nonlinear Schr?dinger equation in the exterior domain in (). By analyzing Strichartz estimate and utilizing the inductive hypothesis method, we prove the stability for all initial data in .","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"115-121"},"PeriodicalIF":0.0,"publicationDate":"2016-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70707011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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