{"title":"Study on a New Chaos Method to Line Spectra Reduction and Amplitude Attenuation","authors":"Simi Tang, Qiwei He, J. Lou, Shijian Zhu","doi":"10.1109/IWCFTA.2010.62","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.62","url":null,"abstract":"The line spectra can be reduced greatly by chaos, but high efficiency of line spectra reduction also results in large amplitude. That is deficiency for engineering implementation. In order to improve the performance of line spectra reduction and attenuate the amplitude of the main system, the model of linear system coupled with an essential non-linear absorber is studied in this paper. The linear system is induced to chaotic motion by the absorber, and the bifurcation diagram with frequency ratio is plotted. Some parameters for periodic and chaotic motion are obtained, and the effectiveness of line spectra reduction is verified by simulation. The results also show that the amplitude of the linear system is attenuated at the same time. This technology would be significant for engineering implementation.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"26 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":"114615040","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}
Zhi-Fang Gao, Xingmei Shen, Shi-huai Su, Liao-sha Li, Shansheng Zhu, Yong-hui Liu
{"title":"Study on Fractal Characteristics of Particle Size Distribution Function for Modified-Brown Coal","authors":"Zhi-Fang Gao, Xingmei Shen, Shi-huai Su, Liao-sha Li, Shansheng Zhu, Yong-hui Liu","doi":"10.1109/IWCFTA.2010.23","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.23","url":null,"abstract":"Particle size distributions (PSDs) are often rendered as cumulative functions, either as number of particles larger than a certain diameter, or as mass smaller than a certain diameter. According to the application status of low rank brown coals of Inner Mongolia, the fractal characteristics of particle size distribution function of raw brown coals and modified-brown coals were analyzed in the paper. The grain size analysis and microstructure analysis of coal samples were measured by the Euro-American gram LS-C (1) type laser Particle analytical instrument, Fourier infrared spectrum (FRIT) and scanning electron microscope (SEM), respectively. The results of the study indicate that raw brown coals and modified-brown coals have fractal feature by using the mathematical model of fractal characteristics of particle size distribution function based on fractal theory. The paper provides the fractal dimensions of modified-brown coals increased with the rank of coal. Thus fractal dimensions can be used as an evaluation index of coal rank providing theoretical basis and distinguish basis for a further study on properties of modified-brown coals.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"255 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":"114362465","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":"Dynamical Behaviors of a Three Species Food Chain System with Time Delayed Harvesting","authors":"Xinghua Huang, Yiping Lin","doi":"10.1109/IWCFTA.2010.25","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.25","url":null,"abstract":"A three species food chain model with time delayed harvesting is concerned. By using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given. Finally numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.","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":"121438420","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":"Impulsive Synchronization for Reaction-Diffusion System","authors":"Wanli Yang, Suwen Zheng","doi":"10.1109/IWCFTA.2010.17","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.17","url":null,"abstract":"In this paper, an impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equiattractivity property of the impulsive error system, the impulsive synchronization of the reaction-diffusion system is investigated, and the sufficient conditions leading to the equiattractivity property are obtained, and a numerical example is given.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"875 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":"123025869","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 Four-Wing Hyper-chaotic Attractor and Its Circuit Implementation","authors":"Enzeng Dong, Zengqiang Chen, Zhuzhi Yuan, Zaiping Chen","doi":"10.1109/IWCFTA.2010.94","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.94","url":null,"abstract":"This paper presents a new four dimensional autonomous hyper-chaotic system which contains four quadratic terms and five system parameters. The proposed system has complex dynamical behaviors, can generate a four-wing hyper-chaotic attractor with proper parameters ranges. The theoretical analysis and numerical analysis demonstrate that a Hopf bifurcation arises at zero equilibrium point. Finally, an electronic circuit is designed to implement the proposed system, and circuit experimental results are in agreement with the numerical simulations, which verifies the existence of the four-wing hyper-chaotic attractor.","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":"132023129","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":"Glider Dynamics and Topological Dynamics of Bernoulli-shift Rule 61","authors":"Yi Wang, F. Chen, Yunfang Han","doi":"10.1109/IWCFTA.2010.36","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.36","url":null,"abstract":"In this paper, the dynamics of elementary cellular automata rule 61 is investigated in the bi-infinite symbolic sequence space. This work provides the glider properties and the interactions in rule 61, including several natural gliders, a catalog of gliders and glider collisions, which were found in Wolfram’s complex rules 110 and 54 before. In addition, It is also proved that rule 61 defines three subsystems with complicated dynamical behaviors such as topologically mixing, topologically transitive and positive topological entropy. Finally, a relation between the collisions in rule 61 and a logical operation is established.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"17 6 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":"126197878","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":"Network Traffic Prediction Based on Multifractal MLD Model","authors":"L. Hong, Yan Tie, W. Lanlan","doi":"10.1109/IWCFTA.2010.109","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.109","url":null,"abstract":"In this paper, a multifractal approach to the classification of unknown self affine signals is presented as an improvement over traditional traffic signal. The fundamental advantages of using multifractal measures include normalization and a very high compression ratio of a signature of the traffic, thereby leading to faster implementations, and the abiliiy to add new traffic classes without redesigning the traffic classifier. Mixed logical dynamical (MLD) modeling appears as an effective and realistic approach in modeling and control of hybrid systems. In this paper, the MLD framework is used for modeling of a multi-server system as a switched nonlinear system. Control of data flow in multiple servers is considered as a case study for predictive control of MLD systems. It is a good model for network traffic control and research as shown in the simulation.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"166 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":"125976436","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 Generation and Circuit Implementation of a Hyperchaos with Four-Wing","authors":"Yuxia Li, Yongchao Cao, Xia Huang, Guanrong Chen","doi":"10.1109/IWCFTA.2010.98","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.98","url":null,"abstract":"In this paper, a new four-dimensional continuous-time autonomous hyper chaotic system, which has a complicated four-wing attractor, is formulated by adding a linear controller to a chaotic system. The existence of the hyper chaos is verified with bifurcation analysis and Lyapunov exponent spectrum. The bifurcation routes from periodic, chaotic to hyper chaotic evolutions are observed simultaneously. The essential dynamical behaviors are demonstrated not only by numerical simulation but also by circuit realization.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"146 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":"124671890","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":"Generation of Koch Curve with Unitary Regulation of L System and Its Applications","authors":"Lin Guo, R. Xu","doi":"10.1109/IWCFTA.2010.91","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.91","url":null,"abstract":"In this paper, the classical fractal graph – Koch curve was generated with unitary regulation of L system in visual C++, and the regular fractal graphs, fractal trees and handkerchief curves which have typical fractal characteristics were generated by changing the elements of generation. The unitary regulation of L system is intuitively expressed by computer language, it can not only help to understand the program design ideas, but also appreciate the way of fractal generation and the basic principles and features of fractal, for profound exploring the rules in process of fractal generation has certain research value. Generated fractal graphs can also be applied to the design field.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"48 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":"122268539","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":"Irrational-Based Cryptosystem","authors":"Wang Jing, Guoping Jiang","doi":"10.1109/IWCFTA.2010.30","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.30","url":null,"abstract":"Strong cryptographic security, short encryption time, and robustness against noise are three goals of cryptosystem. However, most existing chaotic cryptosystems only focus on the research of enhancing cryptographic security and shortening encryption time. To overcome drawbacks and weaknesses of the existing algorithms, the paper analyzes the pseudo-chaotic characteristics of irrational numbers and proposes a completely different algorithm for encryption. Theoretical analysis and simulation results show that the proposed algorithm has a good robustness against noise, and can effectively resist chosen-plaintext attack, statistical attack and differential attack.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131282047","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}