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Generalized Function Projective Synchronization of a Class of Delayed Chaotic Systems 一类延迟混沌系统的广义函数投影同步
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.34
Xiangjun Wu, Hui Wang
{"title":"Generalized Function Projective Synchronization of a Class of Delayed Chaotic Systems","authors":"Xiangjun Wu, Hui Wang","doi":"10.1109/IWCFTA.2010.34","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.34","url":null,"abstract":"In the literatures, most studies mainly concentrate on synchronization of the finite-dimensional chaotic systems, i.e., the chaotic systems without time delay. To overcome this limitation, generalized function projective synchronization (GFPS) of a class of delayed chaotic systems is investigated in this paper. In the GFPS scheme, the drive and response systems are asymptotically synchronized up to a desired scaling function matrix. Based on LaSalle’s invariance principle and the adaptive control method, a nonlinear controller and corresponding update law are designed to achieve GFPS between two different delayed chaotic systems. Numerical simulations are given to validate the effectiveness the proposed synchronization scheme.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"532 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127639939","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
Chaotifing Duffing-type System with Large Parameter Range Based on Optimal Time-Delay Feedback Control 基于最优时滞反馈控制的大参数范围超定duffing型系统
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.38
Jiaxi Zhou, Daolin Xu, Yingli Li
{"title":"Chaotifing Duffing-type System with Large Parameter Range Based on Optimal Time-Delay Feedback Control","authors":"Jiaxi Zhou, Daolin Xu, Yingli Li","doi":"10.1109/IWCFTA.2010.38","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.38","url":null,"abstract":"This report presents a technique of chaotification based on the optimal time-delay feedback that can make a system chaotic with large chaotic parameters range. The bifurcation analysis is done to determine the stability of the time-delay system. An implicit performance index and an optimization strategy are proposed for the time-delay control scheme that can be effectively carried out to obtain the optimal delay time for chaos with best quality. Simulation results of Duffing-type systems show that it is possible to excite the system behaving chaotically while the feedback controls remain small at favorable level. Chaotification performance is further discussed when the excitation frequency and system parameters are widely changed. Results also reveal an interesting phenomenon that the optimal time-delay chaotification can reduce or even eliminates line spectra apparently when the excitation frequency is approximately lower than 8Hz, which may potentially lead to an application for line spectra reduction of the radiated noise emitted from underwater vehicles.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117316464","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
Synthesizing Chaotic Systems with Genetic Programming 基于遗传规划的混沌系统综合
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.110
Q. Jia, W. Tang
{"title":"Synthesizing Chaotic Systems with Genetic Programming","authors":"Q. Jia, W. Tang","doi":"10.1109/IWCFTA.2010.110","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.110","url":null,"abstract":"In this paper, it is to apply genetic programming to explore some new chaotic systems. Based on a tree representation, each function in the state dynamical equation of a chaotic system can be well defined. Thus, through the optimization process governed by genetic programming, it is demonstrated that some new potential forms can be determined, for which chaotic systems are obtained by having tuning of the coefficients.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125236588","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
Fractal-Research on the Complex Carry System and Its Decimal Set 复进位系统及其十进制集的分形研究
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.107
Y. Huang, Jian Huang, J. Yang, Yan-ping Liu
{"title":"Fractal-Research on the Complex Carry System and Its Decimal Set","authors":"Y. Huang, Jian Huang, J. Yang, Yan-ping Liu","doi":"10.1109/IWCFTA.2010.107","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.107","url":null,"abstract":"In this paper we discuss the complex carry system after the extension of the real carry system. We focus on the relationship between the decimal set of the complex carry system and fractal and its general speculation.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129577946","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
Scale-free Network with Variable Scaling Exponent 具有可变标度指数的无标度网络
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.80
Bing Ye, Z. Hou, Xiangxing Kong
{"title":"Scale-free Network with Variable Scaling Exponent","authors":"Bing Ye, Z. Hou, Xiangxing Kong","doi":"10.1109/IWCFTA.2010.80","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.80","url":null,"abstract":"In line with the BA model, we propose a new growing network, Group preferential model, which incorporates a precise evolving mechanism. And from the perspective of Markov chain, explicit formulas are derived analytically characterizing the evolution and distribution of degree, which is scale-free with scaling exponent related with parameter m.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129919382","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
On the Non-equivalence of Lü System and Lorenz System 论Lü系统与Lorenz系统的非等价性
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.79
Xiangxing Kong, Z. Hou, Ning Kang
{"title":"On the Non-equivalence of Lü System and Lorenz System","authors":"Xiangxing Kong, Z. Hou, Ning Kang","doi":"10.1109/IWCFTA.2010.79","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.79","url":null,"abstract":"The equivalence of the Lü system and the Lorenz system is studied in this paper. Based on the concept and techniques of the equilibrium point and resultant elimination, we prove that the Lü system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters, therefore prove the non-equivalence of Lü System and Lorenz System.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121830552","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
Lag, Complete and Anticipated Control of the No-automatic System and Modified Chua Circuit 非自动系统及改进型蔡氏电路的滞后、完全和预期控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.35
Yin Li, Weican Yan
{"title":"Lag, Complete and Anticipated Control of the No-automatic System and Modified Chua Circuit","authors":"Yin Li, Weican Yan","doi":"10.1109/IWCFTA.2010.35","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.35","url":null,"abstract":"Firstly, based on symbolic computation system Maple, Lyapunov stability theory and a back stepping design with one controller, a systematic, automatic and concrete scheme is extended to study the lag, complete and anticipated control of the no-automatic system and Modified Chua circuit with a strict-feedback form. Secondly, two system with different initial values are chosen to illustrate the scheme. Finally, numerical simulations are used to verify the effectiveness of the obtained controllers.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126863416","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
Synchronization Analysis in Local-Interaction Networks with Time-Varying Delays 时变时滞局部交互网络的同步分析
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.101
Bo Liu, Man Li, Jie Zhang
{"title":"Synchronization Analysis in Local-Interaction Networks with Time-Varying Delays","authors":"Bo Liu, Man Li, Jie Zhang","doi":"10.1109/IWCFTA.2010.101","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.101","url":null,"abstract":"In this paper, we consider a complex dynamical network with time-varying delays. We prove that the dynamical complex network is synchronized if the delays satisfy the linear matrix inequality. In addition, we analyze the synchronization of the given network based on the coupling configuration matrix and the delays of the synchronous target. Some simulations illustrate our theoretical results.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131216431","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
A Note on the Exact Solutions of a Nonlinear Diffusion-Convection Equation 一类非线性扩散-对流方程精确解的注记
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.104
Yi Zhang, Jibin Li
{"title":"A Note on the Exact Solutions of a Nonlinear Diffusion-Convection Equation","authors":"Yi Zhang, Jibin Li","doi":"10.1109/IWCFTA.2010.104","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.104","url":null,"abstract":"By using the method of planar dynamical systems, the dynamical behavior of the corresponding traveling wave system to a nonlinear diffusion-convection equation is discussed, and the exact explicit parametric representations of all the traveling wave solutions are obtained.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117312228","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
A Chaotic Time Series Prediction Method Based on Fuzzy Neural Network and Its Application 基于模糊神经网络的混沌时间序列预测方法及其应用
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.106
Zhuo Chen, Chen Lu, Wen-jin Zhang, Xiaowei Du
{"title":"A Chaotic Time Series Prediction Method Based on Fuzzy Neural Network and Its Application","authors":"Zhuo Chen, Chen Lu, Wen-jin Zhang, Xiaowei Du","doi":"10.1109/IWCFTA.2010.106","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.106","url":null,"abstract":"An approach based on chaos theory and fuzzy neural network (FNN) is proposed for chaotic time series prediction. Firstly, C-C algorithm is applied to estimate the delay time of chaotic signal. Grassberger-Procaccia (G-P) algorithm and least squares regression are employed to calculate the correlation dimension of chaotic signal simultaneously. Considering the difficulty in determining the number of input nodes of FNN, minimum embedding dimension obtained from chaotic time series analysis is used to design FNN. It was proved from two study cases that the proposed model is efficient in the practical prediction of chaotic time series.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115779619","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: 4
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