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

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A 3D Chaotic Oscillator's Stability and Chaos Behavior 三维混沌振荡器的稳定性和混沌行为
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-12-17 DOI: 10.1109/IWCFTA.2010.87
Zhengping Shi, Tong-jun He
{"title":"A 3D Chaotic Oscillator's Stability and Chaos Behavior","authors":"Zhengping Shi, Tong-jun He","doi":"10.1109/IWCFTA.2010.87","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.87","url":null,"abstract":"The main aim of this paper is to analyze a 3D chaotic oscillator's stability and chaos behavior by the theoretical and numerical methods to obtain a sufficient and necessary condition of the 3D chaotic oscillator's stability and a necessary condition to generate chaos. A detail numerical example and a circuit experimental simulation verify the correctness of the mentioned two conditions above.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128256536","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
Numerical and Experimental Research on Dynamics of Two DOF Vibration System with Piecewise Stiffness 具有分段刚度的二自由度振动系统动力学的数值与实验研究
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.64
Qiwei He, Shijian Zhu
{"title":"Numerical and Experimental Research on Dynamics of Two DOF Vibration System with Piecewise Stiffness","authors":"Qiwei He, Shijian Zhu","doi":"10.1109/IWCFTA.2010.64","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.64","url":null,"abstract":"In this paper, the two dof vibration isolation system with piecewise linear vibration isolators under force excitation is analyzed. Isolators with asymmetric restoring forces are considered, and the results of periodic-n and chaotic motions are calculated by numerical simulation. These motions are described by phase plane diagram, spectrogram and Poincaré mapping. The simulation results are experimentally verified. The results that are obtained in this paper would be significant for chaos method to line spectra reduction.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"24 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":"117272102","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: 4
Bifurcation of Limit Cycles for a Quintic System 一类五次系统极限环的分岔
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.88
X. Hong
{"title":"Bifurcation of Limit Cycles for a Quintic System","authors":"X. Hong","doi":"10.1109/IWCFTA.2010.88","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.88","url":null,"abstract":"Bifurcation of limit cycles for a quintic system is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the quintic system. The study reveals that the quintic system has 8 limit cycles using detection function approach, and two different distributed orderliness of 8 limit cycles for the quintic system are shown. By using method of numerical simulation, these limit cycles are observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point. The results presented here are helpful for further investigating the Hilbert's 16th problem.","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":"121368430","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: 4
Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps 非解析复映射的广义Mandelbrot集和Julia集
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.42
Yan Dejun, Yang Rijing, Xing Huijie, Zheng Jiangchao
{"title":"Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps","authors":"Yan Dejun, Yang Rijing, Xing Huijie, Zheng Jiangchao","doi":"10.1109/IWCFTA.2010.42","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.42","url":null,"abstract":"In this paper we investigate the generalized Mandelbrot sets and Julia sets generated from non-analytic complex maps . We use the escaping time algorithm to construct the generalized Mandelbrot set and Julia sets. We find that the structures of the generalized Mandelbrot sets and the Julia sets are similar to the analytic complex iterated function systems.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"11 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":"125091968","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 Optimization Scheme of Chaotic Masking Secure Communication Based on Lorenz System 基于Lorenz系统的混沌掩蔽保密通信优化方案
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.61
Jing Pan, Q. Ding, Baoxiang Du
{"title":"The Optimization Scheme of Chaotic Masking Secure Communication Based on Lorenz System","authors":"Jing Pan, Q. Ding, Baoxiang Du","doi":"10.1109/IWCFTA.2010.61","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.61","url":null,"abstract":"This research gives a new improvement scheme of Lorenz signal based on chaotic masking secure communication, which improves the notable features of Lorenz signal and the confidentiality of transmission signal in channel. The scheme here mainly changes the properties of chaotic signal in both time and frequency domains, which makes the masking signal in channel more like noise. This paper also does simulations and comparisons of these two schemes, which verifies that this new chaotic masking optimization scheme based on Lorenz system realizes the optimization for signals in both time and frequency domains, and the synchronization in chaotic masking secure communication.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"46 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":"116440898","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
Multi-wing Butterfly Attractors in Lü System Lü系统中的多翼蝴蝶吸引子
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.52
Bo-cheng Bao, Xiaofeng Wang, Jianping Xu
{"title":"Multi-wing Butterfly Attractors in Lü System","authors":"Bo-cheng Bao, Xiaofeng Wang, Jianping Xu","doi":"10.1109/IWCFTA.2010.52","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.52","url":null,"abstract":"The multi-wing butterfly attractors generated from Lü system via a single or multiple pulse function control is proposed in this paper. With the introduction of the single or multiple pulse function to the third equation of Lü system, the additional index-2 equilibrium points are created, from which multi-wing attractors are evolved. The evolutions of the strange four-wing butterfly attractor and the bifurcation analysis of Lü system with a single pulse function control are investigated. Furthermore, six-wing, eight-wing and ten-wing butterfly attractors in Lü system with different multiple pulse functions control are also revealed. Numerical simulation and experimental results demonstrate that the multi-wing butterfly attractors can be generated by utilizing this control method with the typical parameters of Lü attractor.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"330 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":"122743102","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
Topology of a Modified Extended BA Model 修改后扩展BA模型的拓扑结构
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.59
Bing Ye, HangSheng Tan
{"title":"Topology of a Modified Extended BA Model","authors":"Bing Ye, HangSheng Tan","doi":"10.1109/IWCFTA.2010.59","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.59","url":null,"abstract":"From the perspective of Markov Chain, the stability of a modified extended BA model is studied in the present paper. Based on the concept and technique of the Markov chains, we give the steady-state degree distribution an explicit analysis. The approach based on Markov chain theory is universal and performs well in a large class of evolving networks.","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":"122916070","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 Computation of Two-Dimensional Manifold for Hindmarsh-Rose Neuron Model Hindmarsh-Rose神经元模型二维流形的计算
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.65
M. Jia, Yangyu Fan, Weijian Tian, Jiong Zhao
{"title":"The Computation of Two-Dimensional Manifold for Hindmarsh-Rose Neuron Model","authors":"M. Jia, Yangyu Fan, Weijian Tian, Jiong Zhao","doi":"10.1109/IWCFTA.2010.65","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.65","url":null,"abstract":"The Hind marsh-Rose (HR) Neuron not only contained the features of cell biological physical model, but also included the traits of non-linear dynamical system model. The paper analyzed the HR model by computing manifold. It computed the equilibria, simulated the bifurcation phenomenon of the parameters, estimated the unstable local manifold and computed the global manifold using the angle constraint method. The simulation results showed the trend of the unstable manifold and the distribution of the trajectories. It offered good results to study the chaos phenomenon of the HR mode.","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":"129579019","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
Chaos Control in Duffing-Van Der Pol System Duffing-Van Der Pol系统的混沌控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.32
Zhiyan Yang, T. Jiang, Zhujun Jing
{"title":"Chaos Control in Duffing-Van Der Pol System","authors":"Zhiyan Yang, T. Jiang, Zhujun Jing","doi":"10.1109/IWCFTA.2010.32","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.32","url":null,"abstract":"In this paper we present analytical and numerical results concerning the inhibition of chaos in Duffing-van der Pol system with fifth nonlinear-restoring force and two external forcing terms. We theoretically give parameter-space regions interval of initial phase difference on the basis of Melnikov methods proposed in [6], where homoclinic chaos can be suppressed. Numerical simulation results show the consistence with the theoretical analysis and find that the chaotic motions can be controlled to period-motions by adjusting phase difference and amplitude of second forcing excitation. Moreover, we give the distribution of maximum Lyapunov exponents(LE) in parameter plane, which shows the regions of non-chaotic states (non-positive LE) and chaotic states (positive LE).","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"186 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":"128641123","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: 4
Boolean Networks: Coding, Linearizing and Dynamics 布尔网络:编码、线性化和动态
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.33
Qinbin He, F. Chen, Zengrong Liu
{"title":"Boolean Networks: Coding, Linearizing and Dynamics","authors":"Qinbin He, F. Chen, Zengrong Liu","doi":"10.1109/IWCFTA.2010.33","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.33","url":null,"abstract":"In this paper, an effective scheme is proposed for coding $n$-node Boolean networks. The scheme can uniquely designate a distinguished integer in the range from $0$ to $(2^{ntimes2^n}-1)$ for any a given Boolean network. At the same time, a linearized matrix is obtained for any a given Boolean network. The linearized matrix depends only on the information hidden in the logical table of the given network. By analyzing the linearized matrix corresponding to the given network, we can easily deal with the dynamics of the network such as the number of the fixed points and the numbers of all possible circles of different lengths, basins of attraction of all attractors, and so on.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"18 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":"114725135","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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