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2009 International Workshop on Chaos-Fractals Theories and Applications最新文献

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Flocking of Multiple Dynamic Agents 多个动态代理的群集
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.36
Bo Liu, Jiancheng Zou, Jianwen Wang
{"title":"Flocking of Multiple Dynamic Agents","authors":"Bo Liu, Jiancheng Zou, Jianwen Wang","doi":"10.1109/IWCFTA.2009.36","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.36","url":null,"abstract":"In this paper, we consider the coordinated motion of multiple dynamic agents via nearest neighbor rules based on fixed and switching topologies, respectively. We design the control law which consists of two parts: a potential field force that makes the agents attract to each other and at the same time avoid collision in the group, and an alignment force that makes all dynamic agents' headings and speeds to converge respectively to common values. This paper is studied based on the Lyapunov theory and basic graph theory. The effect of disturbances on the collective dynamics of the group.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128512708","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
Chaos and Its Synchronization in a Fractional Order Neutral Differential System 分数阶中立型微分系统中的混沌及其同步
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.67
Xiaoran Lin, Shangbo Zhou, X. Liao, Xiubang Tang
{"title":"Chaos and Its Synchronization in a Fractional Order Neutral Differential System","authors":"Xiaoran Lin, Shangbo Zhou, X. Liao, Xiubang Tang","doi":"10.1109/IWCFTA.2009.67","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.67","url":null,"abstract":"In this paper, for the first time, chaos in fractional-order neutral delay differential equation(NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115764146","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
Global Chaos Synchronization of the Brushless DC Motor Systems via Variable Substitution Control 基于变量替换控制的无刷直流电动机系统全局混沌同步
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.12
Zhong Liu, Yun Chen, Xiaofeng Wu
{"title":"Global Chaos Synchronization of the Brushless DC Motor Systems via Variable Substitution Control","authors":"Zhong Liu, Yun Chen, Xiaofeng Wu","doi":"10.1109/IWCFTA.2009.12","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.12","url":null,"abstract":"The global synchronization of chaotic brushless DC motor (BLDCM) systems via variable substitution control is investigated. A master-slave synchronization scheme with variable substitution control is constructed at first. Based on this scheme, some sufficient criteria for global chaos synchronization of the master and slave BLDCM systems via various single-variable coupling are proved. The effectiveness of the obtained criteria is numerically verified by the examples.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114368012","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
A New Hyper-Chaos Generated from Chen's System via an External Periodic Perturbation 陈氏系统经外部周期扰动产生的新超混沌
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.61
Zhi-liang Zhu, Qi Zhang, Hai Yu, Jiangning Gao
{"title":"A New Hyper-Chaos Generated from Chen's System via an External Periodic Perturbation","authors":"Zhi-liang Zhu, Qi Zhang, Hai Yu, Jiangning Gao","doi":"10.1109/IWCFTA.2009.61","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.61","url":null,"abstract":"Based on the chaos anti-control theory, a new four-dimensional autonomous hyperchaotic system is formulated by adding a periodic driving signal rsin(cos(φt)) to the second equation of the three-dimensional autonomous Chen chaotic system in this paper. The basic dynamical behavior of the new hyperchaotic system was not only demonstrated by numerical simulation, but also verified with Lyapunov exponents and bifurcation analysis. The new hyperchaotic system can be periodic, quasi-periodic, chaotic and hyperchaotic with the variation of the parameter φ. It also has broad and stable hyperchaotic region which makes the new hyperchaotic system has a good application prospect.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126364331","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
General Mandelbrot Sets and Julia Sets Generated from Non-analytic Complex Iteration F_m(z)=z^n+c 非解析复迭代F_m(z)=z^n+c生成的一般Mandelbrot集和Julia集
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.89
Dejun Yan, Junxing Zhang, N. Jiang, Lidong Wang
{"title":"General Mandelbrot Sets and Julia Sets Generated from Non-analytic Complex Iteration F_m(z)=z^n+c","authors":"Dejun Yan, Junxing Zhang, N. Jiang, Lidong Wang","doi":"10.1109/IWCFTA.2009.89","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.89","url":null,"abstract":"In this paper we investigate the general Mandelbrot sets and Julia sets generated from non-analytic complex iteration . We use the escaping time algorithm and the periodic scanning algorithm to construct the general Mandelbrot set and its local enlargement. We find that general Mandelbrot sets are symmetrical by reflection in the real axis, and has (m+1)- fold rotational symmetry around 0, the Julia sets have m-fold structures. Similar to the analytic complex iterated function systems, the general Mandelbrot sets are kinds of mathematical dictionary or atlas that map out the behavior of the Julia sets for different values of c.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"253 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123074173","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
Finite Time Synchronization of Nonautonomous Multiscroll Chaotic Systems 非自治多涡旋混沌系统的有限时间同步
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.11
Z. Gui, Xiaofeng Wu, Qian Lin
{"title":"Finite Time Synchronization of Nonautonomous Multiscroll Chaotic Systems","authors":"Z. Gui, Xiaofeng Wu, Qian Lin","doi":"10.1109/IWCFTA.2009.11","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.11","url":null,"abstract":"This paper proposes a finite time synchronization scheme for nonautonomous multiscroll chaotic systems via unidirectional nonsmooth feedback control. Based on the finite time stability theory, some sufficient criteria for the finite time synchronization of the scheme are proposed and formulated in the algebraic inequalities. The settling times of the synchronization are well estimated. The effectiveness of the obtained synchronization criteria is illustrated in numerical examples.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124961414","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
Dynamical Complexity of Planar Piecewise Isometries 平面分段等距的动态复杂性
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.10
Zhan-he Chen, Xin-Chu Fu, Rong-zhong Yu
{"title":"Dynamical Complexity of Planar Piecewise Isometries","authors":"Zhan-he Chen, Xin-Chu Fu, Rong-zhong Yu","doi":"10.1109/IWCFTA.2009.10","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.10","url":null,"abstract":"In this paper, we investigate dynamical complexity of general planar piecewise isometries. We reveal the relations between the complexity and the admissible finite words generated by a planar piecewise isometry, and present the necessary and sufficient conditions for the complexity to be zero. Furthermore, we give equivalent statements for the complexity to be not less than 1, and also discuss some essential properties about the complexity.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130944831","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
Estimation of Undiscovered Hydrocarbon Resources Potential through Fractal Geometry Based on GIS 基于GIS的分形几何未发现油气资源潜力估算
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.90
Bo Li, Tingshan Zhang, Liye Bai, Xiaoguang Miao
{"title":"Estimation of Undiscovered Hydrocarbon Resources Potential through Fractal Geometry Based on GIS","authors":"Bo Li, Tingshan Zhang, Liye Bai, Xiaoguang Miao","doi":"10.1109/IWCFTA.2009.90","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.90","url":null,"abstract":"The clustered objects in nature are often fractal. Oil-gas reservoir’s distribution in space is inhomogeneous, always occurs in groups. Therefore, in this paper, we use the theory of Fractal Geometry and Nonlinear Regression method to estimate the unproved oil and gas resources in the study area. As the steps of using Fractal Geometry to predict the oil and gas resources is complex and involve not only spatial data but also attribute data such as oil-gas reservoir’s spatial location and reserves, it’s hard to put it into practice. Geographic Information System (GIS) has a powerful spatial analysis capacity and efficient Geodatabase, it can simplify the process and reduce difficulties of the Fractal Geometry methods. This paper presents a GIS-based Fractal Geometry method to estimate the reserves of potential oil and gas resources and applies this method to estimate the undiscovered oil-gas reserves in Jinhu Sag, North Jiangsu Basin. The result shows Jinhu Sag’s oil and gas reserves are about 3343×104t, still has some exploration potentials. Finally we verify the practicability and validity of Fractal Geometry method by comparing with the results has been taken by other researchers in the past years.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116376573","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
Noise Induced Anticoherence Resonance in a Delayed Circadian Rhythm System 延迟昼夜节律系统中噪声诱导的反相干共振
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.29
Lin Ji, Xinfang Wei, Qionghua Jin, Meiling Yu
{"title":"Noise Induced Anticoherence Resonance in a Delayed Circadian Rhythm System","authors":"Lin Ji, Xinfang Wei, Qionghua Jin, Meiling Yu","doi":"10.1109/IWCFTA.2009.29","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.29","url":null,"abstract":"The counterintuitive noise effect in nonlinear systems plays an important role in determining the system dynamics. Circadian rhythm is an important biological signal that regulates many behavior, physiology or cellular processes. This work find light noise can apparently influence the rhythm regularity and induce anticoherence resonance phenomenon. There is always a worst noise intensity that the rhythm regularity is the most dramatically destroyed, however, even stronger noise can counterintuitively minimize this destructive effect. It is of significance to reveal the constructive role of noise in complex living systems.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"530 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116734812","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
Design and Application of Fractal Pattern Art in the Fashion Design 分形图案艺术在服装设计中的设计与应用
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.88
Xiaotian Long, Wen Li, Weiyan Luo
{"title":"Design and Application of Fractal Pattern Art in the Fashion Design","authors":"Xiaotian Long, Wen Li, Weiyan Luo","doi":"10.1109/IWCFTA.2009.88","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.88","url":null,"abstract":"Fractal Pattern Art is the unification of the perfect science and art. The article mainly explores the specific application of the art which contains esthetic and useful value in the modern visual art—Fashion Design. Several aspects such as the fabric, the color, the structure and the pattern in Fashion Design are analyzed respectively in the attempt to mature supporting of theory and technology that combines design and Fractal Pattern Art, as well as, in order to apply Fractal Pattern Art into the Fashion Design specifically and precisely.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114784444","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
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