{"title":"Spreading of Epidemics on Scale-Free Networks with Traffic Flow","authors":"Ya-Qi Wang, Guoping Jiang","doi":"10.1109/IWCFTA.2010.44","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.44","url":null,"abstract":"In this paper, based on the mean-field theory, we propose a new susceptible-infected-removed (SIR) model to study epidemic spreading on scale-free networks with traffic flow. Theoretical analysis shows that as the network traffic flow increases, the epidemic prevalence is obviously enhanced, and the epidemic threshold is reduced. We also find that the epidemic threshold is related to the ratio between the first and second moments of the network’s algorithm betweenness distribution. Moreover, the heterogeneity levels of the networks weaken the epidemic spreading. We confirm all results by sufficient numerical simulations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"81 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":"121730281","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":"Consensus Analysis of the Multi-agent System","authors":"Bo Liu, Xinmao Zhu, Jie Zhang","doi":"10.1109/IWCFTA.2010.102","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.102","url":null,"abstract":"This paper investigates the consensus problem of the multi-agent system. A new method is used to solve the problem, which is Lap lace transform. According to the Lap lace transform, the accurate solution of the system can be solved, and the state of the consensus center can be found. It is proved that the agents of the system will aggregate and form a cohesive cluster around the consensus center in a finite time under certain conditions. Moreover, a new system about the non-autonomous agents is discussed. Finally, some simulations are given to illustrate the theoretical results.","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":"131516319","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 Study of One-Dimensional Cellular Automata with Nearest-Nearest Neighborhoods","authors":"Shaowei Shen, J. Guan","doi":"10.1109/IWCFTA.2010.29","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.29","url":null,"abstract":"In this paper, we deal with the global equivalence classification of one-dimensional cellular automata (CA) with nearest-nearest neighborhoods. We present a theoretical classification of all rules through the two homeomorphisms identified in [1]. we demonstrate the 30 global equivalence classes of 64 additive rules, and show that in the same equivalence class they have the same number of independent connected component(s) for any L (number of cells). Furthermore, basing on this platform, we also explore the global equivalence class of totalistic rule 20 and 52, which are reputedly capable of highly complex dynamical behaviors and belong to Wolfram’s class IV. It is worth mentioning that the classification method we have presented are actually applicable to one-dimensional CA with any neighborhood radius.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"8 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":"126595454","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":"Energetic Relationships in a Driven Bistable System","authors":"Y. Meng, Min Lin","doi":"10.1109/IWCFTA.2010.48","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.48","url":null,"abstract":"The motion of an over damped Brownian particle in a bistable potential is analyzed from the perspective of stochastic energetics. Without noise and with the increase of the input amplitude, the work done by the periodic force increases first and reach the maximum, then decreases sharply, and finally increases. Only when the work is more than the height of the barrier and equal to the barrier height plus the work done by the resistance force can the particle jump to the other well. When driven by both the periodic force and noise, the work done by the periodic force changes slightly and exhibits the phenomenon of stochastic resonance when the noise induced interwell is synchronized with the weak periodic force.","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":"130776596","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":"Fractal Color Image Coding Based on Isosceles Triangle Segmentation","authors":"Yuli Zhao, Zhiliang Zhu, Hai Yu","doi":"10.1109/IWCFTA.2010.90","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.90","url":null,"abstract":"Based on isosceles triangle segmentation, a new approach of color image compression has been proposed by using correlation among RGB components and fractal image compression algorithm in this paper. The encoding process in this paper is composed of two steps: transforming color image into gray-level image according to correlation among RGB and compressing fractal image based on isosceles triangle segmentation. Compared to the fractal color image compression method based on Jacquin, the approach proposed in this paper has better performance because the use of isosceles triangle segmentation greatly reduced the searching time. Simulation results show that the proposed method can effectively reduce the encoding time and improve compression ratio while remaining the quality of the retrieved image.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"20 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":"132931313","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":"Chaos and Its Communication Application of Fractional-order Neutral Differential System","authors":"Xiaoran Lin, Shangbo Zhou, Z. Zou, Yong Li","doi":"10.1109/IWCFTA.2010.97","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.97","url":null,"abstract":"In this paper, the chaos in fractional-order neutral delay differential equation (NDDE) with fractional-order is discussed. Two different values of fractional-order are considered in the investigated system. Based on the chaotic NDDE system, we realize spread secure communications. Finally, fractional and integer-order neutral differential chaotic systems are compared in communication, and the simulation results certify that the performance of the fractional neutral differential chaotic system is much better.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"50 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":"115810995","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":"Forest Fire Image Segmentation Based on Contourlet Transform and Fractional Brownian Motion","authors":"Aiping Jiang, Lian Liu","doi":"10.1109/IWCFTA.2010.68","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.68","url":null,"abstract":"A new segmentation algorithm for the forest fire image based on Fractional Brownian motion and Contour let transform is proposed. Firstly, the algorithm decomposes the image into several sub-bands of multi-scale, location and multi-direction by Contour let transform. Fractional Brownian motion model is performed for low frequency sub-band, and then estimate the Hurst coefficient of each frequency coefficient in the sub-band. Hurst coefficient used as the characteristics of flame parameters for image segmentation. Experimental results show that the algorithm can segment flame effectively, and improve the efficiency of segmentation for forest fire image.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"53 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":"114853962","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 Ultimate Bounds and Positively Invariant Sets for a Class of General Lorenz-type New Chaotic Systems","authors":"Zhengwen Tu, Jigui Jian","doi":"10.1109/IWCFTA.2010.18","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.18","url":null,"abstract":"To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. In this paper, we attempt to investigate the ultimate bounds and positively invariant sets for a class of more general Lorenz-type new chaotic systems. We derive some ellipsoidal estimates of the globally exponentially attractive set and positively invariant set of the general Lorenz-type new system for all the positive values of its parameters via the generalized Lyapunov function theory. Furthermore, the estimations derived here contain the results given in as special cases and can lead to a series of new estimations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"3 8 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":"116824894","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":"Almost Periodic Mild Solutions to a Class of Fractional Delayed Differential Equations","authors":"Yongjian Liu, Aimin Liu","doi":"10.1109/IWCFTA.2010.9","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.9","url":null,"abstract":"In this paper, one studies the existence and uniqueness of almost periodic mild solutions to fractional delayed differential equations of the form D_t^alpha x(t)=Ax(t)+D_t^{alpha-1} f(t,x_t) where 1 < α < 2, A : D(A) subset X -- X is a linear densely defined operator of sectional type on a complex Banach space X and f : R times X -- X is jointly continuous. Let f(t; x) be almost periodic in t in R uniformly for x. Under some additional assumptions on A and f, the existence and uniqueness of a almost periodic mild solution to above equation is obtained by using the Banach fixed-point principle. The obtaining results extent corresponding results in time delay with respect to almost periodic mild solutions for fractional differential equations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"87 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":"129840518","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":"Global Attractors and Chaos of Complex Bernoulli-shift Rules","authors":"Weifeng Jin, F. Chen","doi":"10.1109/IWCFTA.2010.69","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.69","url":null,"abstract":"This paper provides a symbolic dynamics perspective to Chua’s topologically-distinct complex Bernoulli-shift rules 18, 122, 126 and 146. Through this work, a rigorous analysis of their global attractors is conducted in the space of bi-infinite symbolic sequences. Based on the concepts of blocking transformation and releasing transformation, their chaotic dynamics is further uncovered, including topological mixing and positive topological entropy.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"15 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":"130131436","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}