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2010 International Workshop on Chaos-Fractal Theories and Applications最新文献

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Sliding Mode Control of Fractional-order Hyperchaotic Systems 分数阶超混沌系统的滑模控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.86
Jing Bai, Yongguang Yu
{"title":"Sliding Mode Control of Fractional-order Hyperchaotic Systems","authors":"Jing Bai, Yongguang Yu","doi":"10.1109/IWCFTA.2010.86","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.86","url":null,"abstract":"In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"47 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":"132510224","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: 10
A Chaotic Image Scrambling Scheme Based on Sorting Transformation 一种基于排序变换的混沌图像置乱方案
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.21
Xiangdong Liu, X. Ang, Cun-rui Wang
{"title":"A Chaotic Image Scrambling Scheme Based on Sorting Transformation","authors":"Xiangdong Liu, X. Ang, Cun-rui Wang","doi":"10.1109/IWCFTA.2010.21","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.21","url":null,"abstract":"This paper proposed a chaotic image scrambling scheme based on sorting transformation. The algorithm calculates the permuting address codes by sorting the chaotic sequence. Therefore, the scheme does not require knowing the probability density function of the chaotic orbits in advance, thus not only facilitating the choice of chaotic systems but also reducing the complexity of the scheme. The paper also presented performance analysis of the scheme by statistical methods. The results indicate that the scheme can provide high level of security owing to the strong irregularity of sorting transformation.","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":"129001831","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
Implementation of LT Codes with a Revised Robust Soliton Distribution by Using Kent Chaotic Map 利用Kent混沌映射实现修正鲁棒孤子分布的LT码
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.77
Zengqiang Chen, Qian Zhou
{"title":"Implementation of LT Codes with a Revised Robust Soliton Distribution by Using Kent Chaotic Map","authors":"Zengqiang Chen, Qian Zhou","doi":"10.1109/IWCFTA.2010.77","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.77","url":null,"abstract":"Fountain codes provide an efficient way to transfer information over erasure channels like Internet. LT codes are the first codes fully realizing the digital fountain concept. The key to make LT codes work well is the degree distribution used in the encoding procedure, which is sampled to determine the degree of each encoding symbol. This paper propose a revised robust soliton distribution which has only one parameter. LT codes with the revised distribution are implemented using Kent chaotic map and pseudo-randomness number generator, respectively. The performance of the revised distribution is compared with a robust soliton distribution and an optimized degree distribution. Simulation results show that regardless of the file size, LT codes with the revised robust soliton distribution have comparable decoding efficiency with robust soliton distribution. Moreover, it reduces the symbol operations numbers in the decoding, which can make the decoding more efficient.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"65 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":"126759231","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: 8
The Quadratic Time-Varying Hausdorff and Large Deviation Multifractal Spectrum of Stochastic Fractal Signal 随机分形信号的二次时变Hausdorff大偏差多重分形谱
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.66
Gang Xiong, Shuning Zhang, Li Shu
{"title":"The Quadratic Time-Varying Hausdorff and Large Deviation Multifractal Spectrum of Stochastic Fractal Signal","authors":"Gang Xiong, Shuning Zhang, Li Shu","doi":"10.1109/IWCFTA.2010.66","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.66","url":null,"abstract":"Although multifractal describes the spectrum distribution of Singularity Exponent (SE), it loses the temporal information, and it’s hard to describe the dynamics evolving process of non-stationary system. The time-varying singularity distribution indicates the spatial dynamics character of system. Therefore, the time-varying quadratic multifractal spectrum is proposed. Similar to the Wigner-Ville time-frequency analysis, the time-delayed conjugation of analyzed signal is selected as the windows function, and the quadratic time-singularity exponent distribution of the instantaneous self-correlation is deduced based on the short-time multifractal analysis, i.e. quadratic time-singularity multifractal distribution, which includes Hausdorff Measure, time-varying singular spectrum distribution, time-varying large deviation multifractal spectrum, which exhibits the singular exponent distribution of signal at arbitrary time.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"51 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":"126915689","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
Noise Effects on the Firing Behavior of FitzHugh-Nagumo Neuron 噪声对FitzHugh-Nagumo神经元放电行为的影响
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.10
D. Wei, Ying-Hua Qin, Xiaoshu Luo
{"title":"Noise Effects on the Firing Behavior of FitzHugh-Nagumo Neuron","authors":"D. Wei, Ying-Hua Qin, Xiaoshu Luo","doi":"10.1109/IWCFTA.2010.10","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.10","url":null,"abstract":"We investigate how firing behavior of Fitz Hugh-Nagumo neuron depends on the intensity of Gaussian white noise. It is found that there exists an intermediate range intensity of noise where the firing behavior of neuron is induced and enhanced. To quantitatively study the firing degree of the neuron, the average number of firing spiking is introduced to measure the frequency of the firing patterns. Our study imply that the noise plays a vital role in firing behavior of neuron. Furthermore, the possible mechanism behind the action of random noise also is addressed.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"30 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":"121847035","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 Auto-switched Chaos System and Circuit Implementation 一种自动切换混沌系统及其电路实现
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.89
Zhonglin Wang, Zengqiang Chen, Wenjuan Wu
{"title":"An Auto-switched Chaos System and Circuit Implementation","authors":"Zhonglin Wang, Zengqiang Chen, Wenjuan Wu","doi":"10.1109/IWCFTA.2010.89","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.89","url":null,"abstract":"In order to generate complex chaotic attractor, an atuo-switched chaotic system which consists of two subsystems is constructed. The switched chaotic system can change its behavior automatically from one to another via a data selector. The system is also implemented based on FPGA by EDA Technology, and the experiments shows a good agree with simulation.","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":"121580430","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
Research on Optimal Interpolation Times of Nonlinear Time-Series Using Metric Entropy and Fractal Interpolation 基于度量熵和分形插值的非线性时间序列最优插值次数研究
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.22
Zhiye Xia, Lisheng Xu
{"title":"Research on Optimal Interpolation Times of Nonlinear Time-Series Using Metric Entropy and Fractal Interpolation","authors":"Zhiye Xia, Lisheng Xu","doi":"10.1109/IWCFTA.2010.22","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.22","url":null,"abstract":"In the field of geoscience and atmospheric science, raw data should be interpolated by appropriate times due to the temporal and spatial resolution limitation or the length of initial data at the given observation time for the follow-up process. But this type of data have universal and special nonlinear characteristics, such as chaotic and fractal feature, these nonlinear time series are sensitive to initial condition when applied to model, so it means that the optimal approximation by interpolation to the raw data is required, there will be existing an optimal interpolation times to the data but not arbitrary times. In this paper, we propose a new approach by applying fractal interpolation and Metric Entropy to retrieve the optimal interpolation times. it’s found that higher order nonlinear fractal interpolation function can determine the optimal interpolation times for raw data without changing its initial structure and nonlinear characteristics under the constraining of Metric Entropy. This conclusion will be significant and used abroad in information science and physical science and so on.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"64 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":"114054394","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
Fractal Co-integration of RMB Exchange Rate and China's Stock Price 人民币汇率与中国股价的分形协整
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.82
Guangxi Cao, Jianhui Yuan
{"title":"Fractal Co-integration of RMB Exchange Rate and China's Stock Price","authors":"Guangxi Cao, Jianhui Yuan","doi":"10.1109/IWCFTA.2010.82","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.82","url":null,"abstract":"Nonlinear co-integration method is discussed. According to the generalized fractal co-integration relationship, one form of nonlinear co-integration is proposed based on GPH (Geweke, Porter-Hudak) method. Using the tests of the long-memory characteristic in finance time series, based on daily price series of RMB exchange rate and Shanghai stock markets from July 22, 2005 to April 24, 2009, empirical analysis of their relationship is performed with linear and nonlinear fractional co-integration method. As the results shown, Shanghai stock market and RMB/USD exchange rate series both show the characteristic of long-memory which implicates that China’s stock markets and RMB exchange rate are non-efficient. Furthermore, the empirical results ague that there tend to be a long-run linear equilibrium relationship and exist bidirectional causal relationship between China’s stock market and RMB exchange market.","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":"122542398","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
Distinguishing Mineralized Intensity Based on Lacunarity Index of Au Element Grade 基于Au元素品位间隙指数的矿化强度判别
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.74
L. Wan, Jiaoxiu Ling, R. Shao
{"title":"Distinguishing Mineralized Intensity Based on Lacunarity Index of Au Element Grade","authors":"L. Wan, Jiaoxiu Ling, R. Shao","doi":"10.1109/IWCFTA.2010.74","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.74","url":null,"abstract":"Mineralized intensity is one of the key problems in the study of ore deposit. The mineralization degree in drifts can be categorized into non-mineralized, weakly mineralized, mineralized ranks based on the number of the gold grades greater than cut-off. In this paper, the lacunarity analysis is utilized to analyze the mineralized intensity in drifts of the Dayingezhuang gold ore deposit in Jiaodong, Shandong province, China. It shows that with the increase of mineralized rank, the lacunarity index becomes greater. The results will provide information for both the ore-forming process and the exploitation.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"1 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":"122634567","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
The Design of a Fractal-based Number Generator 基于分形的数字生成器的设计
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.31
C. Huang, Shu-Chen Cheng, Yueh-Min Huang
{"title":"The Design of a Fractal-based Number Generator","authors":"C. Huang, Shu-Chen Cheng, Yueh-Min Huang","doi":"10.1109/IWCFTA.2010.31","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.31","url":null,"abstract":"This study is to investigate a number generator based on the curve or fold input and use it to simulate and verify the real world events. The main technology is to use and modify the principle and characteristics of fractal interpolation, in combination of our developed Affine Function of Vertical Distance Selection Method and Initial Point Selection Method, as well as various linear data characteristics of the input curves and folds, in order to obtain a series of numbers consistent with the undulation of these curves or folds. Since this method is produced based on Fractal related principles, we call it Fractal Number Generator. From the similarity comparison result between the simulation experimental data and original input data, it can be sure that no matter in simple statistical curve or complex statistical curve, Fractal Number Generator is of extremely high similarity with the original input curves or folds, so Fractal Number Generator can really have the simulation experimental data much more consistent with the curve distribution of historical data and endow the simulation process and result with more reference value.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"459 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":"122736928","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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