{"title":"Using ESDA to Detect Overlapping Multi-communities","authors":"Weihua Su, Li Wang","doi":"10.1109/IWCFTA.2009.81","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.81","url":null,"abstract":"Traditional algorithm in Community identification take full advantage of vertex. But in these algorithms, node’s aggregation characteristics are not obvious and the quantity of communities is not reasonable. The Edge of the Spectral Decomposition Algorithm (ESDA) is different from traditional method for Community partition. There are four steps in ESDA: first, we translate the origin graph into line graph. Second, edge degree for 1 and the special local gathered structure are dealt by pre-processing to simplify complex networks. Third, ESDA would use the second smallest, third smallest, the special eigenvalue corresponding to eigenvector to build up coordinate system. Finally, we can identify community by using coordinate system. Experiments show that this algorithm not only make more prominent characteristics of community together and has a better effect, but also speeds up partition of community by sub-step pretreatment.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"486 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133911872","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}
{"title":"Estimating the Globally Attractive Set and Positively Invariant Set of a New Lorenz-Like Chaotic System and Its Applications","authors":"Jigui Jian, Zhengwen Tu, Hui Yu","doi":"10.1109/IWCFTA.2009.57","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.57","url":null,"abstract":"This paper treats the globally exponentially attractive set and synchronization problem of a new Lorenz-like chaotic systems. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, by constructing a family of generalized positive definite Lyapunov functions with radially unbound respect with to the parameters of the system, a new estimation of the globally exponentially attractive set of the new Lorenz-like chaotic system was obtained without existence assumptions and the results presented here improve the existing relative results on the globally exponentially attractive set as special cases and can lead to a series of new estimations. Secondly, nonlinear feedback control approach for two inputs with partial states is proposed to realize the globally exponential synchronization of two chaotic systems and some sufficient conditions for the globally exponential synchronization of two chaotic systems are obtained analytically. The controllers designed have simple structure and less conservation. The numerical simulation results show the effectiveness of the method.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"71 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":"117104483","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}
{"title":"Adaptive Noise Reduction Method for Chaotic Signals Using Dual-Lifting Wavelet Transform","authors":"Yunxia Liu, X. Liao","doi":"10.1109/IWCFTA.2009.40","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.40","url":null,"abstract":"Based on different features between chaotic signals and Gaussian noises, an adaptive noise reduction method is proposed using dual-lifting wavelet transform. The proposed method has two major steps: the estimation of approximation signals and the adaptive choice of detail coefficients. The former is handled by singular spectrum analysis, whereas the latter is analyzed combining with gradient decent algorithm in neural networks. The chaotic signals generated by Lorenz model as well as the observed monthly series of sunspots are respectively applied for simulation analysis, the experimental results show that the performance of the proposed method is superior to that of other methods.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"65 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":"117341314","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}
{"title":"The Hybrid Function Projective Synchronization of Discrete Chaotic Systems","authors":"M. Diao, Yongguang Yu, Sha Wang","doi":"10.1109/IWCFTA.2009.21","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.21","url":null,"abstract":"Generalized projective synchronization is further studied. Based on the Lyapunov stability theory, a new kind of synchronization scheme is presented to achieve function projective synchronization between two different discrete chaotic systems. The involved numerical simulations are given to show the feasibility of theoretical results obtained.","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":"130692358","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}
Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han
{"title":"Synchronization of Two Physical Systems with Fully Unknown Parameters by Adaptive Control","authors":"Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han","doi":"10.1109/IWCFTA.2009.13","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.13","url":null,"abstract":"In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.","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":"125461755","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}
{"title":"A New Hyper-Chaotic Lü Attractor and Its Local Bifurcation Analysis","authors":"H. Jia, Zengqiang Chen, Wenjuan Wu","doi":"10.1109/IWCFTA.2009.55","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.55","url":null,"abstract":"The paper analyzes a new hyper-chaotic Lü attractor which has rich and complex dynamical behaviors, by utilizing Lyapunov exponent spectrum, bifurcation diagram and phase portraits. And the local bifurcation is investigated by the centre manifold theorem. With the variation of parameters, the system will undergo pitchfork bifurcation and Hopf bifurcation at zero equilibrium, respectively. Finally, numerical simulations are showed to verify the theoretical analyses.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"30 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":"116120802","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}
{"title":"Adaptive Fuzzy Sliding Mode Controller Design for Lorenz System","authors":"Chao-Lin Kuo, N. Pai, H. Yau","doi":"10.1109/IWCFTA.2009.33","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.33","url":null,"abstract":"This paper presents an adaptive fuzzy sliding mode control (AFSMC) scheme for chaos control of Lorenz system. In this scheme, the reaching law required to drive the system states of Lorenz system to the sliding surface is inferred by an adaptive technique and a set of fuzzy logic rules based upon the output of a sliding mode controller (SMC). The feasibility and effectiveness of the AFSMC scheme are demonstrated via a numerical simulation. The numerical results demonstrate the ability of AFSMC scheme to suppress the chaotic Lorenz system and reveal that the control signal is chatter free.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"295 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":"133847753","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}
{"title":"Chaotic Oscillator Detection Based on Empirical Mode Decomposition and Its Application","authors":"Fengli Wang, Deyou Zhao","doi":"10.1109/IWCFTA.2009.73","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.73","url":null,"abstract":"In order to accurately make out early fault diagnosis of rotor system with weak signal, a novel fault diagnosis method based on empirical mode decomposition(EMD) associated with chaos oscillator was presented. Weak periodic signals can be detected by identifying the transformation of the chaotic oscillator from the chaotic state to the large-scale periodic state when a weak external periodic signal is applied. As the actual signal is generally a mixture of signal and noise, and interested weak signal is usually submerged in strong background and noise signals. EMD is proposed to remove component interference, and actual signal is divided into finite intrinsic mode functions (IMFs), so that weak characteristic signal can be separated from background and noise signals, and a reliable and convenient measure for weak periodic signal detection by Duffing oscillator can be completed efficiently. Numerical simulation and experimental results show the validity of the presented method.","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":"131619771","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}
{"title":"An Analysis of the Double-Module Fractal Structure of Enterprises and Its Forming Motivations and Mechanism","authors":"Huaibin Li, Xiang Li","doi":"10.1109/IWCFTA.2009.95","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.95","url":null,"abstract":"The thesis proposes and demonstrates that the general form of the fractal of enterprises is a double-module system which combines standard module and differentiated module; the self-similarity of such double-module structure is an example of institutional convergence, and its dual motivation consists of both factors of economic competition and non-economic social system; its forming mechanism is legitimacy, and its self-organizing process is carried out through the embeddedness of social networks. By constructing and applying such double-module structure according to those principles, enterprises may realize both their economic and social targets more easily.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"4 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":"125356801","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}
{"title":"An Image Encryption Scheme Based on Chaotic Maps","authors":"Wei Zhang, Zhi-liang Zhu, Hai Yu","doi":"10.1109/IWCFTA.2009.48","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.48","url":null,"abstract":"In recent years, the classic encryption architecture based on chaotic map—“confusion diffusion” has been investigated. Among them, a two dimension Cat map is usually employed in confusion phase as an image can be seen as a two dimension array, meanwhile the flew of Cat map is obvious, that is the key space of it is not large enough. In the proposed encryption scheme, the Cat map is not with the fixed control parameters but a variable one during the confusion phase to enlarge the key space of the encryption scheme. Simulations are carried out with detail analyses, demonstrating the high security and efficient operation of our cryptosystem.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"58 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":"125499204","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}