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

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General Julia Sets of Non-analytic Families z^n+c 非解析族z^n+c的一般Julia集
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.87
Xiangdong Liu, Zhijie Li, N. Jiang, Junxing Zhang
{"title":"General Julia Sets of Non-analytic Families z^n+c","authors":"Xiangdong Liu, Zhijie Li, N. Jiang, Junxing Zhang","doi":"10.1109/IWCFTA.2009.87","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.87","url":null,"abstract":"In this paper we present general Julia sets of non-analytic families + c (n ³ 2), we also propose some properties of these general Julia sets. Moreover, by iterated function systems theory, we give out two estimations of Hausdorff dimension of these general Julia sets when |c| is sufficient large or sufficient small.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"17 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":"124594014","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
An LMI Approach to Robust Exponential Stabilizing Controller Design for a Class of Structured Uncertain Unified Chaotic Systems 一类结构不确定统一混沌系统鲁棒指数镇定控制器设计的LMI方法
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.32
Yi-Pin Kuo, H. Yau, S. Yang, Kao-Shing Hwang
{"title":"An LMI Approach to Robust Exponential Stabilizing Controller Design for a Class of Structured Uncertain Unified Chaotic Systems","authors":"Yi-Pin Kuo, H. Yau, S. Yang, Kao-Shing Hwang","doi":"10.1109/IWCFTA.2009.32","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.32","url":null,"abstract":"In this paper, the chaos suppression problem for a class of unified chaotic systems with structured uncertainties is considered. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Finally, a robust controller is designed to enforce the pre-specified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.","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":"130953405","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
Effect of Fishing on the Complex Dynamics of Marine Ecosystems 渔业对海洋生态系统复杂动态的影响
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.83
Jianfeng Feng, Hongli Wang
{"title":"Effect of Fishing on the Complex Dynamics of Marine Ecosystems","authors":"Jianfeng Feng, Hongli Wang","doi":"10.1109/IWCFTA.2009.83","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.83","url":null,"abstract":"Marine ecosystems are complex nonlinear systems, and there biological varibles have low-dimensional nonlinear chaos characteristics. Under certain conditions, marine planktonic ecosystem can have different nonlinear dynamic properties, such as point attractor, periodic attractor as well as chaotic attractor. In this paper, a phytoplankton-fish (herbivorous) model was constructed. With the fishing intensity changed, we studied the nonlinear dynamic properties such as the stability and bifurcation of this model. Futhermore, a model consisting of 6 phytoplankton species and 4 zooplankton species extended with fishing factor was used to analyze the different attractors of the system under different fishing intensity. Results showed that fishing can promote the occurrence of alternative attractors. Futhermore, fishing will decrease the relative frequency of chaos. Under median fishing intensity, there will be more cyclic attractors which mean that population abundance varies mostly.","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":"128927101","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
Modified Function Projective Synchronization of Two Different Discrete-Time Chaotic Systems 两种不同离散混沌系统的修正函数投影同步
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.9
Yin Li
{"title":"Modified Function Projective Synchronization of Two Different Discrete-Time Chaotic Systems","authors":"Yin Li","doi":"10.1109/IWCFTA.2009.9","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.9","url":null,"abstract":"This paper is concerned with modified function projective synchronization in discrete-time chaotic and hyperchaotic systems. The control method is based on the active control idea and the backstepping design method. Firstly, the projective synchronization control method is given mathematically. Then, the 2D discrete-time Hacute{e}non map, the 2D discrete-time kawakami system, the 3D Henon map and the 3D Henon-like map are chosen to verify the correctness and effectiveness of the control method.","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":"128901235","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
Analysis of a Predator-Prey System Concerning Impulsive Effect 考虑脉冲效应的捕食者-食饵系统分析
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.27
Lingshu Wang, Guanghui Feng
{"title":"Analysis of a Predator-Prey System Concerning Impulsive Effect","authors":"Lingshu Wang, Guanghui Feng","doi":"10.1109/IWCFTA.2009.27","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.27","url":null,"abstract":"A stage-structured predator-prey model with impulses is proposed and investigated. According to the fact of biological resource management, it is assumed that the immature individuals and the mature individuals of the predator population are divided by fixed age and that immature predator population does not have the ability to attack prey. Sufficient conditions, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system, are obtained. Furthermore, numerical simulations shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that the impulsive control model we considered has more complex dynamics including periodic doubling bifurcation, symmetry breaking bifurcation, period halving bifurcation, quasi-periodic oscillation and choas.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"145 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":"115713121","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
Study on Fault Analysis of Rotor Machinery Using Lyapunov Exponent-Fractal Dimension 基于李雅普诺夫指数-分形维数的转子机械故障分析研究
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.91
Bingcheng Wang, Z. Ren, Rongtao Hou
{"title":"Study on Fault Analysis of Rotor Machinery Using Lyapunov Exponent-Fractal Dimension","authors":"Bingcheng Wang, Z. Ren, Rongtao Hou","doi":"10.1109/IWCFTA.2009.91","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.91","url":null,"abstract":"The time series of rotor system are tested under 3 different working conditions in this paper, which respectively calculates the largest Lyapunov exponent and general dimension, and analyzes and studies these two characteristic quantities. The study results show that: the Lyapunov exponent and general dimension of the time series for rotor system under different working conditions are different. Therefore, \"Lyapunov exponent - general dimension\" is proposed to act as the quantitative characterization of the fault diagnosis for rotor system, which can diagnose and monitor the mechanical faults of rotor system. The study also opens up an effective way for diagnosis.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"16 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":"124091515","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
General Quaternion M Sets with Noise Perturbations 具有噪声扰动的一般四元数M集
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.94
Yuanyuan Sun, Xing-yuan Wang
{"title":"General Quaternion M Sets with Noise Perturbations","authors":"Yuanyuan Sun, Xing-yuan Wang","doi":"10.1109/IWCFTA.2009.94","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.94","url":null,"abstract":"The general quaternion Mandelbrot sets (abbreviated as M sets) with the additive and multiplicative dynamic noise perturbations are constructed. The topology structures and the fission evolutions of the M sets are investigated, and the boundaries the stability regions are calculated. Plenty of experiments and analysis indicate that the additive dynamic noise makes M sets displace from the original position and the multiplicative noise impels the stability regions of M sets shrink in a certain proportion. It can be concluded that the noises impact on the M sets greatly.","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":"127307795","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
Fractal Research on Relation between Coalfield Geological Tectonic and Gas Outburst 煤田地质构造与瓦斯突出关系的分形研究
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.92
Jun He, Mingju Liu, Xinsheng Chen
{"title":"Fractal Research on Relation between Coalfield Geological Tectonic and Gas Outburst","authors":"Jun He, Mingju Liu, Xinsheng Chen","doi":"10.1109/IWCFTA.2009.92","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.92","url":null,"abstract":"The relation between geological tectonics in certain coalfields and the outburst proneness of mining areas has been analyzed in China by means of fractal geometry, and the index of tectonic fractal dimension for outburst prediction has been optimized. All of the distribution of fault and fold tectonics in coalfields of each category mining area follow the fractal law, and the influence of distribution of geological tectonic in coalfield to hazard extent of coal and gas outburst can be described using fractal dimension. There is a positive correlation between fault fractal dimension and hazard extent of outburst, and between fold fractal dimension and hazard extent of outburst. Tectonic fractal dimension summation composed of fault and fold fractal dimensions is a well index for outburst zone prediction.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"6 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":"125793223","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
Image Encryption Algorithm Based on Hyperchaotic System 基于超混沌系统的图像加密算法
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.39
Jinqiu Lin, Si Xica
{"title":"Image Encryption Algorithm Based on Hyperchaotic System","authors":"Jinqiu Lin, Si Xica","doi":"10.1109/IWCFTA.2009.39","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.39","url":null,"abstract":"The chaos based cryptographic algorithms have suggested some new and efficient ways to develop secure image encryption techniques. A new approach to image encryption based on hyperchaotic map which is called coupled map lattices(CML) is proposed in order to meet the requirements of the secure image transfer. The results of several experimental, analysis of correlation of adjacent pixels and key sensitivity tests show that the proposed image encryption scheme provides an efficient and secure way for image encryption and transmission.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"27 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":"133348683","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: 11
Secure Communication via Finite-Time Synchronization between Two Different Chaotic Systems with Uncertainties 两个不确定混沌系统的有限时间同步保密通信
2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI: 10.1109/IWCFTA.2009.42
Jianping Cai, Meili Lin, Zhengzhong Yuan
{"title":"Secure Communication via Finite-Time Synchronization between Two Different Chaotic Systems with Uncertainties","authors":"Jianping Cai, Meili Lin, Zhengzhong Yuan","doi":"10.1109/IWCFTA.2009.42","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.42","url":null,"abstract":"A new method of virtual unknown parameter is proposed to synchronize two different systems with unknown parameters and disturbance in finite time. The information signal hidden in chaotic signal is transmitted and can be successfully recovered at the receiver once synchronization is achieved. Numerical simulations show that the present method is effective.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"27 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":"123141273","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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