Pub Date : 2016-06-28DOI: 10.4236/IJMNTA.2016.52011
Chao Liu, Meimei Song
In this paper, to find the fixed points of the nonexpansive nonself-mappings, we introduced two new viscosity approximation methods, and then we prove the iterative sequences defined by above viscosity approximation methods which converge strongly to the fixed points of nonexpansive nonself-mappings. The results presented in this paper extend and improve the results of Song-Chen [1] and Song-Li [2].
{"title":"The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings","authors":"Chao Liu, Meimei Song","doi":"10.4236/IJMNTA.2016.52011","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.52011","url":null,"abstract":"In this paper, to find the fixed \u0000points of the nonexpansive nonself-mappings, we introduced two new viscosity \u0000approximation methods, and then we prove the iterative sequences defined by \u0000above viscosity approximation methods which converge strongly to the fixed \u0000points of nonexpansive nonself-mappings. The results presented in this paper \u0000extend and improve the results of Song-Chen [1] and Song-Li [2].","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"104-113"},"PeriodicalIF":0.0,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706974","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}
Pub Date : 2016-06-28DOI: 10.4236/IJMNTA.2016.52010
Mio Kobayashi, T. Yoshinaga
In this study, we propose a novel discrete-time coupled model to generate oscillatory responses via periodic points with a high periodic order. Our coupled system comprises one-dimensional oscillators based on the Rulkov map and a single globally coupled oscillator. Because the waveform of a one-dimensional oscillator has sharply defined peaks, the coupled system can be applied to dynamic image segmentation. Our proposed system iteratively transforms the coupling of each oscillator based on an input value that corresponds to the pixel value of an input image. This approach enables our system to segment image regions in which pixel values gradually change with respect to a connected region. We conducted a bifurcation analysis of a single oscillator and a three-coupled model. Through simulations, we demonstrated that our system works well for gray-level images with three isolated image regions.
{"title":"Discrete-Time Dynamic Image Segmentation Using Oscillators with Adaptive Coupling","authors":"Mio Kobayashi, T. Yoshinaga","doi":"10.4236/IJMNTA.2016.52010","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.52010","url":null,"abstract":"In this \u0000study, we propose a novel discrete-time coupled model to generate oscillatory \u0000responses via periodic points with a high periodic order. Our coupled system \u0000comprises one-dimensional oscillators based on the Rulkov map and a single \u0000globally coupled oscillator. Because the waveform of a one-dimensional \u0000oscillator has sharply defined peaks, the coupled system can be applied to dynamic \u0000image segmentation. Our proposed system iteratively transforms the coupling of \u0000each oscillator based on an input value that corresponds to the pixel value of \u0000an input image. This approach enables our system to segment image regions in \u0000which pixel values gradually change with respect to a connected region. We conducted \u0000a bifurcation analysis of a single oscillator and a three-coupled model. \u0000Through simulations, we demonstrated that our system works well for gray-level \u0000images with three isolated image regions.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"93-103"},"PeriodicalIF":0.0,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706923","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51004
Mingjun Wang
In the paper, the Liu system with a feedback controller is discussed. The influence of the feedback coefficient of the controlled system is studied through Lyapunov exponents spectrum and bifurcation diagram. Various attractors are demonstrated not only by numerical simulations but also by circuit experiments. Only one feedback channel is used in our study, which is useful in communication. The circuit experiments show that our study has significance in practical applications.
{"title":"Controlling Liu Chaotic System with Feedback Method and Its Circuit Realization","authors":"Mingjun Wang","doi":"10.4236/IJMNTA.2016.51004","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51004","url":null,"abstract":"In the paper, the Liu system with a feedback controller is discussed. The influence of the feedback coefficient of the controlled system is studied through Lyapunov exponents spectrum and bifurcation diagram. Various attractors are demonstrated not only by numerical simulations but also by circuit experiments. Only one feedback channel is used in our study, which is useful in communication. The circuit experiments show that our study has significance in practical applications.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"5 1","pages":"40-47"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706991","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51006
H. Bakodah
In this paper, we describe a comparison of two spatial discretization schemes for the advection equation, namely the first finite difference method and the method of lines. The stability of the methods has been studied by Von Neumann method and with the matrix analysis. The methods are applied to a number of test problems to compare the accuracy and computational efficiency. We show that both discretization techniques approximate correctly solution of advection equation and compare their accuracy and performance.
{"title":"A Comparative Study of Two Spatial Discretization Schemes for Advection Equation","authors":"H. Bakodah","doi":"10.4236/IJMNTA.2016.51006","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51006","url":null,"abstract":"In this paper, we describe a comparison of two spatial discretization schemes for the advection equation, namely the first finite difference method and the method of lines. The stability of the methods has been studied by Von Neumann method and with the matrix analysis. The methods are applied to a number of test problems to compare the accuracy and computational efficiency. We show that both discretization techniques approximate correctly solution of advection equation and compare their accuracy and performance.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"59-66"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706740","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51009
Penghui Lv, Ruijin Lou, Guoguang Lin
In this paper, we study the long time behavior of solution to the initial boundary value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the wellness of the solutions. Then we establish the existence of global attractor.
{"title":"Global Attractor for a Class of Nonlinear Generalized Kirchhoff-Boussinesq Model","authors":"Penghui Lv, Ruijin Lou, Guoguang Lin","doi":"10.4236/IJMNTA.2016.51009","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51009","url":null,"abstract":"In this \u0000paper, we study the long time behavior of solution to the initial boundary \u0000value problem for a class of Kirchhoff-Boussinesq model flow . We first prove the \u0000wellness of the solutions. Then we establish the existence of global attractor.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"5 1","pages":"82-92"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706879","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51002
Mahmoud Ammous, S. Charfi, A. Harb, M. Chaabene
Photovoltaic based reverse osmosis desalination systems (PV/RO) present an effective method of water desalination especially in remote areas. The increase of the feed water temperature leads to an amelioration of the plant performances. Photovoltaic Thermal Collector (PV/T) represents an ideal power source as it provides both electric and thermal energies for the reverse osmosis process. Nevertheless, PV/T based RO plants should be controlled in order to solve operation problems related to electrical efficiency, reverse osmosis membrane, produced water and the rejected salts. This paper suggests a fuzzy logic controller for the flow rate of the circulating fluid into the PV/T collectors so as to ameliorate the system performances. The designed controller has improved the PV/T field electrical efficiency and preserved the reverse osmosis membrane which upgrades the system productivity. LABVIEW software is used to simulate the controlled system and validate the effectiveness of the controller.
{"title":"Improvement of PV/T Based Reverse Osmosis Desalination Plant Performances Using Fuzzy Logic Controller","authors":"Mahmoud Ammous, S. Charfi, A. Harb, M. Chaabene","doi":"10.4236/IJMNTA.2016.51002","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51002","url":null,"abstract":"Photovoltaic based reverse osmosis desalination systems (PV/RO) present an effective method of water desalination especially in remote areas. The increase of the feed water temperature leads to an amelioration of the plant performances. Photovoltaic Thermal Collector (PV/T) represents an ideal power source as it provides both electric and thermal energies for the reverse osmosis process. Nevertheless, PV/T based RO plants should be controlled in order to solve operation problems related to electrical efficiency, reverse osmosis membrane, produced water and the rejected salts. This paper suggests a fuzzy logic controller for the flow rate of the circulating fluid into the PV/T collectors so as to ameliorate the system performances. The designed controller has improved the PV/T field electrical efficiency and preserved the reverse osmosis membrane which upgrades the system productivity. LABVIEW software is used to simulate the controlled system and validate the effectiveness of the controller.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"5 1","pages":"11-27"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706841","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51005
A. Olutimo
Convergence behaviors of solutions arising from certain system of third-order nonlinear differential equations are studied. Such convergence of solutions corresponding to extreme stability of solutions when relates a pair of solutions of the system considered. Using suitable Lyapunov functionals, we prove that the solutions of the nonlinear differential equation are convergent. Result obtained generalizes and improves some known results in the literature. Example is included to illustrate the result.
{"title":"Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations","authors":"A. Olutimo","doi":"10.4236/IJMNTA.2016.51005","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51005","url":null,"abstract":"Convergence \u0000behaviors of solutions arising from certain system of third-order nonlinear \u0000differential equations are studied. Such convergence of solutions corresponding \u0000to extreme stability of solutions when relates a pair of solutions of the system considered. \u0000Using suitable Lyapunov functionals, we prove that the solutions of the \u0000nonlinear differential equation are convergent. Result obtained generalizes and \u0000improves some known results in the literature. Example is included to \u0000illustrate the result.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"5 1","pages":"48-58"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706658","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51007
Arunava Bhattacharyya, Dilip Kumar Gayen, T. Chattopadhyay
An all-optical 2-to-4 decoder unit with the assist of terahertz optical asymmetric demultiplexer (TOAD) is presented. The all-optical 2-to-4 decoder with a set of all-optical switches is designed which can be used to achieve a high-speed central processor unit using optical hardware. The unique output lines can be used for all-optical header processing. We attempt to develop an integrated all-optical circuit which can perform decoding of signal. This scheme is very simple and flexible for performing different logic operation and to design advanced complex logic. Simulated results are confirming the described methods.
{"title":"Design of 2-to-4 All-Optical Decoder with the Help of Terahertz Optical Asymmetric Demultiplexer","authors":"Arunava Bhattacharyya, Dilip Kumar Gayen, T. Chattopadhyay","doi":"10.4236/IJMNTA.2016.51007","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51007","url":null,"abstract":"An all-optical 2-to-4 decoder unit with the assist of terahertz optical asymmetric demultiplexer (TOAD) is presented. The all-optical 2-to-4 decoder with a set of all-optical switches is designed which can be used to achieve a high-speed central processor unit using optical hardware. The unique output lines can be used for all-optical header processing. We attempt to develop an integrated all-optical circuit which can perform decoding of signal. This scheme is very simple and flexible for performing different logic operation and to design advanced complex logic. Simulated results are confirming the described methods.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"5 1","pages":"67-72"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706815","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51003
Md. Nur Alam, F. Belgacem
In this work, while applying a new and novel (G'/G)-expansion version technique, we identify four families of the traveling wave solutions to the (1 + 1)-dimensional compound KdVB equation. The exact solutions are derived, in terms of hyperbolic, trigonometric and rational functions, involving various parameters. When the parameters are tuned to special values, both solitary, and periodic wave models are distinguished. State of the art symbolic algebra graphical representations and dynamical interpretations of the obtained solutions physics are provided and discussed. This in turn ends up revealing salient solutions features and demonstrating the used method efficiency.
{"title":"Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method","authors":"Md. Nur Alam, F. Belgacem","doi":"10.4236/IJMNTA.2016.51003","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51003","url":null,"abstract":"In this work, while applying a new and novel (G'/G)-expansion version technique, we identify four families of the traveling wave solutions to the (1 + 1)-dimensional compound KdVB equation. The exact solutions are derived, in terms of hyperbolic, trigonometric and rational functions, involving various parameters. When the parameters are tuned to special values, both solitary, and periodic wave models are distinguished. State of the art symbolic algebra graphical representations and dynamical interpretations of the obtained solutions physics are provided and discussed. This in turn ends up revealing salient solutions features and demonstrating the used method efficiency.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"06 1","pages":"28-39"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706931","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}
Pub Date : 2016-03-02DOI: 10.4236/IJMNTA.2016.51001
Hafsi Slah, D. Mehdi, S. Lassâad
In this work, an intelligent artificial control of a variable speed wind turbine (PMSG) is proposed. First, a mathematical model of turbine written at variable speed is established to investigate simulations results. In order to optimize energy production from wind, a pitch angle and DC bus control law is synthesized using PI controllers. Then, an intelligent artificial control such as fuzzy logic and artificial neural network control is applied. Its simulated performances are then compared to those of a classical PI controller. Results obtained in MATLAB/Simulink environment show that the fuzzy and the neuro control is more robust and has superior dynamic performance and hence is found to be a suitable replacement of the conventional PI controller for the high performance drive applications.
{"title":"Advanced Control of a PMSG Wind Turbine","authors":"Hafsi Slah, D. Mehdi, S. Lassâad","doi":"10.4236/IJMNTA.2016.51001","DOIUrl":"https://doi.org/10.4236/IJMNTA.2016.51001","url":null,"abstract":"In this work, an intelligent artificial control of a variable speed wind turbine (PMSG) is proposed. First, a mathematical model of turbine written at variable speed is established to investigate simulations results. In order to optimize energy production from wind, a pitch angle and DC bus control law is synthesized using PI controllers. Then, an intelligent artificial control such as fuzzy logic and artificial neural network control is applied. Its simulated performances are then compared to those of a classical PI controller. Results obtained in MATLAB/Simulink environment show that the fuzzy and the neuro control is more robust and has superior dynamic performance and hence is found to be a suitable replacement of the conventional PI controller for the high performance drive applications.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2016-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70706719","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}
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