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

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Forward Displacement Analysis of the 5SPS-1CCS Generalized Stewart Parallel Robot Mechanism Based on Hyper-Chaotic Methods 基于超混沌方法的5SPS-1CCS广义Stewart并联机器人机构前向位移分析
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.22
Youxin Luo, W. Xiao, Bin Zeng, Xiguang Huang
{"title":"Forward Displacement Analysis of the 5SPS-1CCS Generalized Stewart Parallel Robot Mechanism Based on Hyper-Chaotic Methods","authors":"Youxin Luo, W. Xiao, Bin Zeng, Xiguang Huang","doi":"10.1109/IWCFTA.2009.22","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.22","url":null,"abstract":"The forward displacement analysis of parallel mechanism is attributed to find the solution of complex nonlinear equations which is a very difficult process. The more CCS kinematic chains are the more complicated the forward displacement is. Newton iterative method is an important one-dimension and multi-dimension technique which is sensitive to the initial point. Take chaotic sequences as the initial value of Newton iterative method, we can find all the solutions of equations quickly. The paper investigated the initial point generated by hyper-chaotic circuit system and provided a new method and calculation step of finding the all real number solutions of nonlinear equations which was based on hyper-chaotic circuit system and Newton iterative method. Using quaternion, the mathematical model of forward displacement for the generalized 5SPS-1CCS Stewart parallel robot mechanism was established and an example was given. Compared to the topological continuations method the result shows the calculation is brief and general. It can be used in forward displacement of other parallel mechanism. The research builds the theory basis for dimensional design, trajectory planning and controlling of this type of manipulator.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"5 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":"116330489","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: 5
Topologically Mixing and Chaos of One Class of Bernoulli-Shift Cellular Automata Rules 一类伯努利移位元胞自动机规则的拓扑混合与混沌
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.60
Mingyao Wang, F. Chen, Weifeng Jin, Lin Chen
{"title":"Topologically Mixing and Chaos of One Class of Bernoulli-Shift Cellular Automata Rules","authors":"Mingyao Wang, F. Chen, Weifeng Jin, Lin Chen","doi":"10.1109/IWCFTA.2009.60","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.60","url":null,"abstract":"This paper is devoted to an in-depth study of Chua's Bernoulli-shift rules 11, 14, 43 and 142 from the viewpoint of symbolic dynamics. It is shown that each of these four rules identifies two chaotic dynamical subsystems and presents very rich and complicated dynamical properties. In particular, they are topologically mixing and possess the positive topological entropies on their two subsystems. Therefore, they are chaotic in the sense of both Li-Yorke and Devaney on the subsystems. The method proposed in this work is also gives some support for investigating the dynamics of subsystems of other rules, especially the hyper-Bernoulli-shift rules therein.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"35 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":"123407774","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
Anti-synchronization of Systems with Unknown Parameters and Parameters Identification 未知参数系统的反同步与参数辨识
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.14
Mihua Ma, Meili Lin
{"title":"Anti-synchronization of Systems with Unknown Parameters and Parameters Identification","authors":"Mihua Ma, Meili Lin","doi":"10.1109/IWCFTA.2009.14","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.14","url":null,"abstract":"Anti-synchronization of two identical chaotic systems with unknown parameters and unknown parameters identification are discussed. A chaotic system with unknown parameters is considered as master system, and a slave system containing the estimated values of unknown parameters of the master system is constructed. We design some controllers consisting of adaptive controller and the update law of estimation parameters to make the master-slave systems achieve anti-synchronization. Then the negatives of the estimated values can converge to the exact values of unknown parameters of the master system. Therefore, the unknown parameters of the master system can be identified. A new chaotic system is taken as example to show that the presented method can give a result of high accuracy.","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":"122723167","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
The Globally Attracting and Repelling for a Class of Planar Piecewise Isometries 一类平面分段等距的全局吸引与排斥
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.24
Rong-zhong Yu, Xin-Chu Fu, Zhan-he Chen
{"title":"The Globally Attracting and Repelling for a Class of Planar Piecewise Isometries","authors":"Rong-zhong Yu, Xin-Chu Fu, Zhan-he Chen","doi":"10.1109/IWCFTA.2009.24","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.24","url":null,"abstract":"The authors investigate the globally attracting and repelling for planar piecewise isometric system in this paper. Firstly, we get two fundamental propositions about globally attracting and repelling for general piecewise isometry defined on the entire planar. Secondly, we discuss the attracting and repelling of a class of planar piecewise isometry with section partition by the similar way as the paper (Michael Boshernitzan and Arek Goetz \"A dichotomy for a two-parameter piecewise rotation\" Ergodic Theory and Dynamical Systems, 2003,23,(3) pp. 759-777.). In fact, the main result in this paper is the generalization of the one in above paper.","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":"124656533","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
Typical Power Quality Disturbance Identification Based on Fractal Box Dimension 基于分形盒维数的典型电能质量扰动辨识
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.93
Genghuang Yang, Yuliang Liu, Li Zhao, S. Cui
{"title":"Typical Power Quality Disturbance Identification Based on Fractal Box Dimension","authors":"Genghuang Yang, Yuliang Liu, Li Zhao, S. Cui","doi":"10.1109/IWCFTA.2009.93","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.93","url":null,"abstract":"Power quality disturbance (PQD) identification is an important technology in power system especially when power market is realized. The producers of PQD are different which result in the difference of abnormity and complexity. Fractal dimension is a mean to characterize the abnormity and complexity of PQD and it is potential for PQD identification. Traditional fractal box counting dimension is based on the square which confuses the coordinate physical meaning in application. The dual-scale fractal box counting dimension is based on the rectangle in which time and range of PQD are included. The formulae for fractal scaleless range is developed based on the periodic or quasi-periodic characteristic of PQD. The formulae are tested by simple waveform and proved effective. Fractal box counting dimension of typical PQD depict the PQDs well especially in identification. The proposed method is a new time-based approach for PQD analysis.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"43 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":"125838742","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
A DCT-Based Fractal Image Compression Method 一种基于dct的分形图像压缩方法
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.99
Chong Fu, Zhi-liang Zhu
{"title":"A DCT-Based Fractal Image Compression Method","authors":"Chong Fu, Zhi-liang Zhu","doi":"10.1109/IWCFTA.2009.99","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.99","url":null,"abstract":"Fractal coding is a potential image compression scheme, which has the advantages of relatively high compression ratios and good reconstruction fidelity. However, the high computational complexity of fractal image encoding greatly restricts its application. This paper proposes a DCT-based fractal image coding method, which improves the self-similarities exploiting scheme. The range and domain blocks are divided into three classes based on their DCT lower frequency coefficients, and only the domain blocks with the same class to the range block are calculated during best match exploiting process. Experimental results show that compared with standard fractal coding scheme, the encoding time is significantly reduced and the PSNR of the reconstructed image is also improved.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"39 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":"127615217","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: 28
Topological Chaos of Cellular Automata Rules 元胞自动机规则的拓扑混沌
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.52
Weifeng Jin, F. Chen, Chunlan Yang
{"title":"Topological Chaos of Cellular Automata Rules","authors":"Weifeng Jin, F. Chen, Chunlan Yang","doi":"10.1109/IWCFTA.2009.52","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.52","url":null,"abstract":"The dynamical behaviors of elementary cellular automata rules are investigated from the viewpoint of symbolic dynamics in the space of bi-infinite symbolic sequences. It turns out the topologically conjugate equivalences between rules by applying blocking transformation and releasing transformation. Based on this result, the topological chaos of rule 22 is detailedly characterized; that is, rule 22 is topologically mixing and possesses the positive topological entropy on two subsystems. Thus, rule 22 is chaotic in the sense of both Li-Yorke and Devaney on these two subsystems. Finally, it is worth mentioning that the method presented in this paper is also applicable to other blocking transformation equivalences therein.","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":"127884779","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
Flocking in Multi-agent Systems with a Bounded Control Input 具有有限控制输入的多智能体系统中的群集
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.35
Bo Liu, Hai Yu
{"title":"Flocking in Multi-agent Systems with a Bounded Control Input","authors":"Bo Liu, Hai Yu","doi":"10.1109/IWCFTA.2009.35","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.35","url":null,"abstract":"Recently, the broad applications of multi-agent systems in many areas have stimulated a great deal of interests in studying coordinated control problems. Previous flocking protocols do not consider the input saturation. In this paper, we investigate the flocking problem with a bounded control input. Under the assumption that the underlying network is connected, all agents can attain the same velocity vector, and distances between the agents are stabilized. Numerical simulations are worked out to illustrate theoretical results.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"32 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":"131258154","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: 17
Converting a General 2D Quadratic Autonomous System to a 2D Lorenz-Type System 一般二维二次自治系统到二维洛伦兹型系统的转换
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.66
C. Hua, Guanrong Chen
{"title":"Converting a General 2D Quadratic Autonomous System to a 2D Lorenz-Type System","authors":"C. Hua, Guanrong Chen","doi":"10.1109/IWCFTA.2009.66","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.66","url":null,"abstract":"Under three necessary conditions for preserving the essential qualitative properties of the 3D Lorenz system, a general 2D quadratic autonomous system is converted to a 2D Lorenz-type system (2DLTS). A canonical form of the 2DLTS is derived with aid of a normalization technique. It is found that the 2DLTS can be converted to the 2D Duffing oscillator model under certain conditions. Furthermore, it is shown that the 2DLTS undergoes pitchfork bifurcation and Hopf bifurcation. Finally, approximate periodic solutions of both the 2DLTS near the Hopf bifurcation point and a time-periodically forced system are obtained.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"2 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":"133961010","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
A Coupled Model of Natural Resource and Environmental Pollution for Catastrophe Studies 灾害研究中自然资源与环境污染的耦合模型
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.80
Liujun Chen, Shuang Wu
{"title":"A Coupled Model of Natural Resource and Environmental Pollution for Catastrophe Studies","authors":"Liujun Chen, Shuang Wu","doi":"10.1109/IWCFTA.2009.80","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.80","url":null,"abstract":"Based on the irrelevant classic model of natural resource and environmental pollution, two kinds of coupling relationship between natural resource and environmental pollution are introduced and a coupled dynamic model is developed. One coupling relationship is the extra death due to environment pollution besides natural death, and the other coupling relationship is the dependence of self-purification capacity on the quantity of natural resource. Simulation and mathematical analysis of the coupled model show that the type of bifurcation structure should be swallowtail catastrophe. The economic meanings of catastrophic characteristics are investigated.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"19 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":"123016232","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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