{"title":"Dynamics of the HBV Model with Diffusion and Time Delay","authors":"Meihong Qiao, Huan Qi","doi":"10.1109/CISE.2009.5364193","DOIUrl":"https://doi.org/10.1109/CISE.2009.5364193","url":null,"abstract":"A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. By using the method of upper-lower solutions, we obtain the sufficient conditions for the existence of traveling wave solutions of reaction--diffusion systems with delay. The travelling wave front, derived in this paper, corresponds to medicine injection that drives HBV to extinction. The result shows that HBV can be eliminated if the parameters satisfy some suitable conditions.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124419422","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":"Study on the Crack Surface of Fiber Reinforced Concrete in SHPB Experiment","authors":"G. Jiang, C. Jiao, Daoju Ren","doi":"10.1109/IWCFTA.2009.96","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.96","url":null,"abstract":"The crack characteristics of polypropylene concrete and plain concrete are investigated in the SHPB test. The relation between the character on the Crack Surface of Concrete and material properties and the impact pressure is analyzed. Also the multifractal characteristics are given on the Crack Surface of Concrete. The crack distributions of steel fiber reinforced concrete and polypropylene concrete are investigated. The crack resistance effects of fiber are analyzed from the degree of closenness and uniformity .","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"14 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":"125806920","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":"Inverse Displacement Analysis of General 7R Manipulator Based on Hyper-Chaotic Least Square Method","authors":"Youxin Luo, Gegang Liao","doi":"10.1109/IWCFTA.2009.23","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.23","url":null,"abstract":"The hyper-chaotic least square method finding all real solutions of nonlinear equations was proposed and the inverse displacement analysis of general 7R manipulator was completed. Applying D-H method, 4×4 matrix transform was obtained. Analyzing the characteristic of the matrix, six constrained equations were established and six supplement constrained equations were also established by adding variables. The inverse displacement analysis of general 7R manipulator can be solved by the above 12 equations and the method-finding was given. Combining least square method with hyper-chaotic sequences, hyper-chaotic least square method based on utilizing hyper-chaotic discrete system to obtain locate initial points to find all real solutions of the nonlinear questions was proposed. The numerical example was given for the inverse displacement analysis of general 7R manipulator. The results show that all real solutions have been obtained, and it proves the correctness and validity of the proposed method.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"12 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":"125543468","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}
W. Deng, Jifang Wang, Guangzhao Cui, Zhenjun Wu, Jie Fang
{"title":"Using an Adaptive Sliding Mode Variable Structure Controller with Sector Nonlinear Input to Achieve Chaotic Systems Synchronization","authors":"W. Deng, Jifang Wang, Guangzhao Cui, Zhenjun Wu, Jie Fang","doi":"10.1109/IWCFTA.2009.17","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.17","url":null,"abstract":"a method based on adaptive sliding mode variable structure controller is presented for synchronization of a class of chaotic system with perturbations and parameter mismatch. The controller is more robust to perturbations, parameter mismatch and inputs sector nonlinearity. Moreover, no restrictive assumption is imposed on the system. Thus the adaptation range of the proposed method becomes broad. Theoretical analysis and simulation results illustrate the validity.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"29 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":"126475436","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":"Bifurcation and Chaos Analysis of a Relative Short Spherical Air Bearing System via a Novel Hybrid Method","authors":"Cheng-Chi Wang, H. Yau, Chao-Lin Kuo","doi":"10.1109/IWCFTA.2009.75","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.75","url":null,"abstract":"This paper employs a novel hybrid numerical method combining the differential transformation method and the finite difference method to study the bifurcation and chaotic behavior of a flexible rotor supported by a relative short spherical air bearing (RSSAB) system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, quasi-periodic, and chaotic responses of the rotor center and the journal center. Furthermore, the results reveal the changes which take place in the dynamic behavior of the bearing system as the rotor mass are increased. The current analytical results are found to be in good agreement with those of other numerical methods. Therefore, the proposed method provides an effective means of gaining insights into the nonlinear dynamics of RSSAB systems.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"88 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":"132258709","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":"H8 Synchronization of Switched Chaotic Systems via Output Feedback Control","authors":"Z. Wan, Jun‐Juh Yan, Yi‐You Hou, T. Liao","doi":"10.1109/IWCFTA.2009.18","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.18","url":null,"abstract":"This study addresses the H∞ synchronization problem for switched chaotic systems which depend on a time-driven switching law. Based on the Lyapunov stability theorem, Linear matrix inequality (LMI), and Linear matrix equality (LME) optimization techniques, an output feedback controller guaranteeing the synchronization of the switching master-slave chaotic systems is proposed. Finally, a numerical example is given to demonstrate the effectiveness of the main method.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"82 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":"132688518","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":"Self-Organization of Swarms with Communication Delays under Disturbances","authors":"Bo Liu, Zhimin Zhao, Jie Zhang, Yulian Fan","doi":"10.1109/IWCFTA.2009.84","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.84","url":null,"abstract":"In this paper we establish a general swarm model with time delays under disturbances for the quadratic attractant/repellant profiles. It is proved that the swarm members will converge and form a cohesive cluster around the center in a finite time under certain conditions in the presence of communication delays and disturbances. For quadratic attractant/repellant profiles, all the swarm members will converge to more favorable areas in the presence of noise disturbances. Numerical simulations illustrate the theoretical results.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"45 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":"127827982","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":"Halting Infectious Disease Spread in Social Network","authors":"Zhen-peng Li, Guo-liang Shao","doi":"10.1109/IWCFTA.2009.70","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.70","url":null,"abstract":"We present a hierarchical structure or multi-scales infectious diseases analysis based on meta-population model with heterogenous connectivity and mobility patterns, and study the effect of multi-scales hierarchical connectivity pattern of complex social network on the propagation dynamics of epidemics. The simulation results show that the scale of growth time of outbreaks is inversely proportional to the network degree ¿uctuations within each hierarchies(scales). We also provide the analysis of infected evolution density versus hierarchical degree and time scale. This paper presents an approach to understand the disease spreading in large transportation network or virus transmission in the Internet. In addition, our study offer some useful measures to control and eradicate epidemic or virus within the large scale complex network with hierarchical meta-population structure.","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":"114923817","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":"Forced Oscillations in Wind Energy Generation Systems","authors":"Zhen Li, Siu-Chung Wong, C. Tse","doi":"10.1109/IWCFTA.2009.28","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.28","url":null,"abstract":"Use of the doubly fed induction generator (DFIG) in wind energy generation systems allows variable speed operation by using partially rated back-to-back quadruple active and reactive power PWM converters. The control of the system is very complex. Despite numerous new control schemes reported in the literature, these control techniques, which are designed to solve some particular control problems, have rarely been tested for general stability problems systematically. Specifically, nonlinear stability analysis of the system has not been reported before. In this paper, we use a commonly used control scheme to study the system stability in terms of the oscillatory magnitude of the voltage link capacitor of the system under unbalanced grid voltage. An important variation parameter, frequency of the unbalanced grid voltage, is used in this paper. Stability diagrams is collected using the voltage of the link capacitor of the back-to-back PWM power converters, exposing the possibility of chaotic behavior of the wind generation system. This paper thus plays the role of characterizing wind energy generation systems using nonlinear stability analysis.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"63 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":"125065448","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":"Analysis of Self-Similar Traffic Based on the On/Off Model","authors":"Fang Ju, Jie Yang, Heng Liu","doi":"10.1109/IWCFTA.2009.69","DOIUrl":"https://doi.org/10.1109/IWCFTA.2009.69","url":null,"abstract":"This paper analyzes the influence of self-similar traffic on Ethernet based on the On/Off model, which treats the self-similar process as the superposition of tremendous data sources with heavy-tailed distribution. Simulated in several scenarios with different H parameter, the result indicates that self-similar traffic has negative influence on the performance of networks at delay, throughput and other aspects. As a significant property, it has really brought great challenge to the deeper research of today’s network.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"34 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":"132988113","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}