Weizhong Yang, Zhenhua Jiao, Zhifeng Zhang, Conghao Jin
In this paper, the authors get a common fixed point theorem for a sequence of mappings admitting intuitionistic fuzzy contractive conditions defined on intuitionistic fuzzy metric spaces.
本文给出了在直觉模糊度量空间上定义的具有直觉模糊压缩条件的映射序列的一个公共不动点定理。
{"title":"A Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces","authors":"Weizhong Yang, Zhenhua Jiao, Zhifeng Zhang, Conghao Jin","doi":"10.1109/IWCFTA.2012.10","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.10","url":null,"abstract":"In this paper, the authors get a common fixed point theorem for a sequence of mappings admitting intuitionistic fuzzy contractive conditions defined on intuitionistic fuzzy metric spaces.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130076435","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}
In this paper, upon the nonlinear Korteweg-de Vries(KdV) equation, controlling the amplitude of nonlinear Ross by waves, which was induced by nonlinear effect of and nonlinear effect of topography, the numerical solution was gotten using the numerical method.
{"title":"The Numerical Simulation of the Evolution of the Amplitude of Solitary Rossby Waves Induced by Nonlinear Effect of ß and Nonlinear Effect of Topography","authors":"Chaojiu Da, Weiyuan Ma, Jian Song","doi":"10.1109/IWCFTA.2012.22","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.22","url":null,"abstract":"In this paper, upon the nonlinear Korteweg-de Vries(KdV) equation, controlling the amplitude of nonlinear Ross by waves, which was induced by nonlinear effect of and nonlinear effect of topography, the numerical solution was gotten using the numerical method.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133769552","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}
In this paper, a delayed predator-prey model incorporating a constant prey refuge and diffusion is studied. By analyzing the characteristic equation of linearized system corresponding to the model, we study the local asymptotic stability of the positive equilibrium of the system. Hopf bifurcation is occurred. By using the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, numerical simulations are performed to support the analytical results. With delay increasing, chaotic behaviors are observed.
{"title":"Bifurcation Analysis for a Predator-Prey System with Prey Refuge and Diffusion","authors":"Chaoming Huang, Yiping Lin","doi":"10.1109/IWCFTA.2012.40","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.40","url":null,"abstract":"In this paper, a delayed predator-prey model incorporating a constant prey refuge and diffusion is studied. By analyzing the characteristic equation of linearized system corresponding to the model, we study the local asymptotic stability of the positive equilibrium of the system. Hopf bifurcation is occurred. By using the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, numerical simulations are performed to support the analytical results. With delay increasing, chaotic behaviors are observed.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121958804","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}
In this paper, an adaptive sliding mode controller (SMC) with a parameter update law is developed to realize projective synchronization of the Lorenz system and the Chen system with fully unknown parameters. The projective synchronization includes complete synchronization and anti-phase synchronization. Moreover, it is proven that the proposed adaptive SMC can maintain the existence of sliding mode in uncertain chaotic systems based on Lyapunov stability theory. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed control method.
{"title":"SMC-based Projective Synchronization of Lorenz System and Chen System with Fully Unknown Parameters","authors":"Shijian Cang, Zengqiang Chen, Zenghui Wang, Yuchi Zhao","doi":"10.1109/IWCFTA.2012.54","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.54","url":null,"abstract":"In this paper, an adaptive sliding mode controller (SMC) with a parameter update law is developed to realize projective synchronization of the Lorenz system and the Chen system with fully unknown parameters. The projective synchronization includes complete synchronization and anti-phase synchronization. Moreover, it is proven that the proposed adaptive SMC can maintain the existence of sliding mode in uncertain chaotic systems based on Lyapunov stability theory. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed control method.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129315793","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}
We consider the nonhomogeneous problem uxx(x, t) = ut(x, t) + f(x, t), 0 ≤ x <; 1, t ≥ 0, where the Cauchy data g(t) is given at x = 1. This is an ill-posed problem in the sense that a small disturbance on the boundary g(t) can produce a big alteration on its solution (if it exists). In this paper, we shall define a Meyer wavelet solution to obtain well-posed solution in the scaling space Vj. We shall also show that under certain conditions this regularized solution is convergent to the exact solution. In the previous papers, most of the theoretical results concerning the error estimate are about the homogeneous equation, i.e., f(x, t) ≡ 0.
{"title":"Regularized Wavelet Solutions for Ill-posed Nonhomogeneous Parabolic Equations","authors":"Jinru Wang, Yuan Zhou","doi":"10.1109/IWCFTA.2012.12","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.12","url":null,"abstract":"We consider the nonhomogeneous problem uxx(x, t) = ut(x, t) + f(x, t), 0 ≤ x <; 1, t ≥ 0, where the Cauchy data g(t) is given at x = 1. This is an ill-posed problem in the sense that a small disturbance on the boundary g(t) can produce a big alteration on its solution (if it exists). In this paper, we shall define a Meyer wavelet solution to obtain well-posed solution in the scaling space Vj. We shall also show that under certain conditions this regularized solution is convergent to the exact solution. In the previous papers, most of the theoretical results concerning the error estimate are about the homogeneous equation, i.e., f(x, t) ≡ 0.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125746945","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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