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

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Bursting and Mode Transitions in Coupled Nonidentical Modified Morris-Lecar Neurons 耦合非相同修正Morris-Lecar神经元的爆破与模式转换
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.84
L. Duan, Dehong Zhai, Xuhui Tang, Q. Lu
{"title":"Bursting and Mode Transitions in Coupled Nonidentical Modified Morris-Lecar Neurons","authors":"L. Duan, Dehong Zhai, Xuhui Tang, Q. Lu","doi":"10.1109/IWCFTA.2010.84","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.84","url":null,"abstract":"Bursting oscillation in neurons and other excitable cells is thought to be the primary mode of electrical behavior in many biological system. In the previous work, we studied the bursting types in the single Morris-Lecar model with current-feedback control. In this paper, based on studying the nearly complete synchronization of two electrically coupled bursting neurons, we do the further research to find how the synchronous firing patterns depend on that of the individual neurons by means of numerical simulation and bifurcation analysis. Besides, we find a novel transition of the synchronous firing patterns with the change of $bf emph{V}_0$. These results may have instructive significance for us to understand the mechanisms of complex firing activities and information coding in biological neural systems.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"44 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":"125555495","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
Hopf Bifurcation Analysis and Control of a Ratio-Dependent Predator–Prey Model of Holling IV Type with Time Delayed Feedback 时滞反馈Holling IV型比例依赖捕食-食饵模型的Hopf分岔分析与控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.78
F. Sun, Yiping Lin, Jufeng Wang
{"title":"Hopf Bifurcation Analysis and Control of a Ratio-Dependent Predator–Prey Model of Holling IV Type with Time Delayed Feedback","authors":"F. Sun, Yiping Lin, Jufeng Wang","doi":"10.1109/IWCFTA.2010.78","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.78","url":null,"abstract":"In present paper, the time-delayed feedback is coupled with a ratio-dependent predator–prey model of Holling ??? type. This predator-prey system can be seen as a human-controlled biological system. Regarding the delay as parameter, we investigate the existence of local Hopf bifurcations. By using the Hassard method and the center manifold argument, we derive the explicit formulas determining the stability, direction and other properties of bifurcation. Finally, we give a numerical simulation, which indicates that when the delay passes through certain critical values, the positive equilibria is converted into a stable steady state. It means that we can control the stability of the equilibria by man-made control of the number of the predator with certain age.","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":"131162810","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
Generation of Hyperchaotic Chua System via State Feedback Control 基于状态反馈控制的超混沌Chua系统的生成
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.45
Huiling Xi, Simin Yu, Zhaoxia Zhang, Kuibiao Deng
{"title":"Generation of Hyperchaotic Chua System via State Feedback Control","authors":"Huiling Xi, Simin Yu, Zhaoxia Zhang, Kuibiao Deng","doi":"10.1109/IWCFTA.2010.45","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.45","url":null,"abstract":"This paper constructs a 4-D hyper chaotic Chua system via state feedback control, based on 3-D Chua system with both piecewise-linear and smooth cubic nonlinearity. Dynamical behaviors of this hyper chaotic system are further investigated, including Lyapunov exponents spectrum, bifurcation diagram and solution of equations. Numerical results show this system can generate hyper chaotic multi-scroll attractors.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"119 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":"132970283","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: 2
Chemical Connection Induced Firing Pattern Transition in Coupled Chaotic Neuron System 耦合混沌神经元系统的化学连接诱导放电模式转变
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.75
Lin Ji, Yujuan Wang
{"title":"Chemical Connection Induced Firing Pattern Transition in Coupled Chaotic Neuron System","authors":"Lin Ji, Yujuan Wang","doi":"10.1109/IWCFTA.2010.75","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.75","url":null,"abstract":"The modulation of chemical connection on neuron firing pattern is investigated in a coupled Hind marsh-Rose model with distributive delays. Simulation results show that chemical coupling not only can improve the spiking-bursting transition, but also may stabilize the coupling induced quiescent phase and induce oscillation death. Detailed characterizations of the transition are given. It reveals that the spiking-bursting transition helps to guarantee more reliable signal transmission and it is realized through “spike-adding” mechanism.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"303 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":"133633089","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
Exact Travelling Wave Solutions and the Bifurcation for Nonlinear Evolution Modified ZK Equation 非线性演化修正ZK方程的精确行波解与分岔
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.83
Fang Yan, Haihong Liu
{"title":"Exact Travelling Wave Solutions and the Bifurcation for Nonlinear Evolution Modified ZK Equation","authors":"Fang Yan, Haihong Liu","doi":"10.1109/IWCFTA.2010.83","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.83","url":null,"abstract":"By using the method of dynamical systems, this paper researches the exact travelling wave solutions and bifurcation for the modified ZK equation. As a result, exact implicit parametric representations of some solitary wave solutions and periodic wave solutions, as well as some exact solutions are given.","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":"132045940","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
Hybrid Synchronization of Hyperchaotic Lü System Based on Passive Control 基于被动控制的超混沌Lü系统混合同步
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.100
Xia Huang, Zhen Wang, Yuxia Li
{"title":"Hybrid Synchronization of Hyperchaotic Lü System Based on Passive Control","authors":"Xia Huang, Zhen Wang, Yuxia Li","doi":"10.1109/IWCFTA.2010.100","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.100","url":null,"abstract":"In this paper, based on passivity theory, coexistence of anti-synchronization and complete synchronization is found between two identical hyper chaotic Lu systems with different initial conditions. The passive controller is employed to make the error dynamical system not only passive but also asymptotically stable. Numerical simulation results illustrate that the designed controller can realize anti-synchronization of three pairs of states and complete synchronization of the remaining one pair.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"92 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":"134152424","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
Formal Development of Non-recursive Algorithm for Koch Curve 科赫曲线非递归算法的形式化发展
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.93
Qiuchen Yang, Runjie Liu, Jinyuan Shen, Weixin Mu
{"title":"Formal Development of Non-recursive Algorithm for Koch Curve","authors":"Qiuchen Yang, Runjie Liu, Jinyuan Shen, Weixin Mu","doi":"10.1109/IWCFTA.2010.93","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.93","url":null,"abstract":"Formal method is an important approach for constructing the trustworthy software. Koch curve is one of the typical fractals graph. A non-recursive algorithm of Koch curve is proposed by employing PAR method and the strategy of developing loop invariant. This algorithm is verified formally. This paper achieves loop invariant of Koch curve with readable, efficient and reliable non-recursive algorithm finally.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"22 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":"133868712","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
An Image Encryption Algorithm Utilizing Mandelbrot Set 一种基于Mandelbrot集的图像加密算法
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.70
Yuanyuan Sun, Rui Kong, Xing-yuan Wang, Lian-cheng Bi
{"title":"An Image Encryption Algorithm Utilizing Mandelbrot Set","authors":"Yuanyuan Sun, Rui Kong, Xing-yuan Wang, Lian-cheng Bi","doi":"10.1109/IWCFTA.2010.70","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.70","url":null,"abstract":"As an important field in information security, image encryption algorithm has been a research focus. At the same time there are few works on fractal set as the encryption key among various encryption algorithms. In the paper, Mandelbrot set (abbreviated as M set) and the Hilbert transformation are utilized to generate the random key. Since M set can be iterated from only a few parameters, it can reduce the storage space greatly. In addition, the infinite boundaries of the M set and the Hilbert transformation enhance the randomness of the key. Experimental results show that even the slight disturbance of the parameters can change the key dramatically. Moreover, the algorithm needs small space for key storage and the real-time encryption can be achieved.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"13 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":"133908099","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: 17
Scalar Feedback Control in a Chaotic Prey-Predator System 混沌捕食-捕食系统的标量反馈控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.92
Ning Li, Qingling Zhang, Haiyi Sun
{"title":"Scalar Feedback Control in a Chaotic Prey-Predator System","authors":"Ning Li, Qingling Zhang, Haiyi Sun","doi":"10.1109/IWCFTA.2010.92","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.92","url":null,"abstract":"Scalar feedback control in a chaotic discrete prey predator system is investigated. The existence of the fixed points and the local stability of the positive fixed point are discussed. By using center manifold theorem, it is proved rigorously that the system undergoes the flip bifurcation near the unique positive fixed point. To eliminate the undesirable chaos induced by the flip bifurcation and stabilize the unstable periodic points, scalar feedback control is adopted. It is clear that the control strategies can be obtained analytically. Numerical simulations are presented not only to illustrate the results with the theoretical analysis but also to exhibit the new complex dynamics. The effectiveness of the control method are shown at last.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"111 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":"133257057","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
Study on Arc Chaos for SF6 Circuit Breaker Based on Coupled Physical Field Simulation 基于耦合物理场仿真的SF6断路器电弧混沌研究
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.99
Ying Han, Xiaoming Liu, X. Leng, Yundong Cao, Yuejun An, Cao Song
{"title":"Study on Arc Chaos for SF6 Circuit Breaker Based on Coupled Physical Field Simulation","authors":"Ying Han, Xiaoming Liu, X. Leng, Yundong Cao, Yuejun An, Cao Song","doi":"10.1109/IWCFTA.2010.99","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.99","url":null,"abstract":"Based on the N-S and Maxwell equation, a mathematical model describing the arc behavior in SF6 circuit breaker (CB) has been deduced. The effect of Lorentz force, turbulent and physical parameters on the characteristic of arc plasma was considered in the model. Using the finite volume method, the distributions of controlling parameters for arc in SF6 circuit breaker, such as viscosity, electric conductivity, heat diffusion and heat conductivity have been calculated. By linearizing a set of nonlinear differential equation for arc model according to the theory of differential geometry, arc instable property has been analyzed and nonlinear differential equations with constant coefficient for arc in SF6 CB has been obtained. By adjusting the controlling parameter of arc in SF6 CB, the variations of amplitude parameters and phase trajectory in the phase space with time have been analyzed. The calculation results show that the nonlinear system for SF6 CB has significant chaotic behavior.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"98 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":"133433093","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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