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

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Global Bifurcation for a Predator-Prey Model with Ivlev Functional Response 具有Ivlev功能反应的捕食者-猎物模型的全局分岔
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.103
Shu-ling Zha, G. Guo
{"title":"Global Bifurcation for a Predator-Prey Model with Ivlev Functional Response","authors":"Shu-ling Zha, G. Guo","doi":"10.1109/IWCFTA.2010.103","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.103","url":null,"abstract":"The steady-state of a diffusive predator-prey system with Ivlev functional response is considered. Taking the diffusion coefficient as a bifurcation parameter, the local bifurcation from the unique positive constant steady-state solution is obtained and the structure of positive steady-states near the bifurcation point is given. Moreover, we find that the local branch can be extended to the global one. Our method used here is based on the bifurcation theory and Leray-Schauder degree.","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":"123084090","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
Dynamical Mechanisms of Glycolytic Oscillations in Ventricular Myocytes 心室肌细胞糖酵解振荡的动力学机制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.14
Shifu Feng, Ling Yang
{"title":"Dynamical Mechanisms of Glycolytic Oscillations in Ventricular Myocytes","authors":"Shifu Feng, Ling Yang","doi":"10.1109/IWCFTA.2010.14","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.14","url":null,"abstract":"Previous studies have shown that glycolysis can oscillate periodically, driven by positive feedback loops in regulation of key glycolytic enzymes by free ADP and other metabolites. The experimental observations isolated rabbit ventricular myocytes revealed that when the capacity of oxidative phosphorylation and the creatine kinase system to buffer the cellular ATP/ADP ratio is suppressed, glycolysis can cause periodic oscillations in cellular ATP levels. Here we theoretically analyze the underlying dynamical mechanisms of these oscillations, and explained the experimental results under varying conditions. Our findings suggest that: 1) the positive feedback does promote the oscillations via Hopf bifurcations; 2)the ATP level is the core factor in generating glycolytic oscillations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"133 1-4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120891759","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
Chaos Synchronization Between Two Stochastic Lorenz-family Systems 两个随机lorenz族系统的混沌同步
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.39
Yan-Xia Lin, Shaojuan Ma
{"title":"Chaos Synchronization Between Two Stochastic Lorenz-family Systems","authors":"Yan-Xia Lin, Shaojuan Ma","doi":"10.1109/IWCFTA.2010.39","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.39","url":null,"abstract":"In this paper, we address stochastic chaos synchronization of two stochastic Lorenz-family systems with bounded random parameters. In the analysis the stochastic Lorenz-family system is firstly transformed into an equivalent deterministic nonlinear system by the Chebyshev polynomial approximation, so that the chaos synchronization problem of stochastic Lorenz-family systems can be reduced into that of the equivalent deterministic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a series of simple feedback control laws are applied to two identical stochastic Lorenz-family systems. Numerical simulation shows the effectiveness of synchronous programs.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"7 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":"127017802","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
Fractal Theory and Its Application in Studying the Feature of Landforms 分形理论及其在地貌特征研究中的应用
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.81
Jiangdong Cai, Q. You
{"title":"Fractal Theory and Its Application in Studying the Feature of Landforms","authors":"Jiangdong Cai, Q. You","doi":"10.1109/IWCFTA.2010.81","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.81","url":null,"abstract":"It had been proved that the trends of the mountains, the shapes of the rivers, even the distribution of the various plants had the characteristics of fractal. Fractal and multi-fractal can be used to describe complex geometric shapes such as regular Cantor sets with non-uniform mass distributions. Investigation indicated that fractal and multi-fractal theory had been used widely in scientific field. In the past few years, fractal and multi-fractal had also been found to have important applications to characterize the terrains with the feature of complicity and irregularity. In this paper, the meaning of parameters of multi-fractal spectrum was discussed in detail at first, then simple dimension and merits of the multi-fractal characterization were defined respectively. Finally, taking the mountain landslide as example, we compared indices of simple fractal dimension and multi-fractal spectra of the area before landslide with those of the same area after the mountain slide; also we tried to explain the difference between these two groups of indices.","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":"131321896","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: 9
Chaos and Control of Nonlinear Dynamic Model in the Ecological System 生态系统非线性动态模型的混沌与控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.41
W. Ji
{"title":"Chaos and Control of Nonlinear Dynamic Model in the Ecological System","authors":"W. Ji","doi":"10.1109/IWCFTA.2010.41","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.41","url":null,"abstract":"One dynamic model has been established in ecological system. Considering the influence of foreign trade on the ecological footprint and ecological carrying capacity, the stability analysis of the system has been given. The influence of the parameter on the system has been discussed while the other conditions were fixed. Then the Variable feedback chaos control method is successfully applied to stabilize the unstable periodic orbits in chaotic attractor. The numerical simulation results show that this control method is effective. Based on the model, the complex nonlinear relationships among foreign trade, ecological footprint and ecological carrying capacity are obtained.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"45 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":"131897825","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
Analysis and Circuit Implementation of a Three-Wing or Four-Wing Chaotic Attractor 三翼或四翼混沌吸引子的分析与电路实现
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.76
H. Jia, Wei Xue, Zengqiang Chen
{"title":"Analysis and Circuit Implementation of a Three-Wing or Four-Wing Chaotic Attractor","authors":"H. Jia, Wei Xue, Zengqiang Chen","doi":"10.1109/IWCFTA.2010.76","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.76","url":null,"abstract":"The paper firstly analyzes a three-wing or four-wing chaotic attractor which is reported recently. When vary, the dynamics of the chaotic attractor are very complex, not only can the three-wing or four-wing chaotic attractor be observed by numerical simulation, but also some typical periodic attractors can be found. In addition, an analog circuit is also made for the three-wing or four-wing chaotic system, and the results of circuit experiment observed by oscillation are well coincided with those of simulation. Furthermore, the chaotic characteristics of the three-wing or four-wing chaotic system are verified physically.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"66 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":"133892301","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
The Bifurcation Analysis of Digital Chaos Circuit and Its Application 数字混沌电路的分岔分析及其应用
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.63
Lu Wang, Q. Ding
{"title":"The Bifurcation Analysis of Digital Chaos Circuit and Its Application","authors":"Lu Wang, Q. Ding","doi":"10.1109/IWCFTA.2010.63","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.63","url":null,"abstract":"With the large scale application of integrated circuit in the chaotic encryption, the design of cryptogram program based on the chaotic system becomes a new trend of cryptography. The digital degradation after the chaotic digitization is a key issue to be resolved, while current study pays more attention to digital chaotic period behavior, but the other characteristics of digital chaotic also plays a crucial role. This paper conducts research on the instability of the digital chaotic orbit and the bifurcation behavior, designs the hardware circuit which is used to realize the bifurcation of digital chaotic based on FPGA, analyzes the similarity between dynamics of chaotic systems and digital chaotic system with test comparative method, confirms the fact that digital chaotic indeed have the behavior of bifurcation, and provides the corresponding value of u. According to the phenomenon of digital chaotic bifurcation, we put forward the point of the view that chaotic systems have complex dynamic behavior, which is the basis of for the application of chaotic secure system.","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":"130368677","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 and Synchronization of a New Chaotic System 一种新型混沌系统的混沌控制与同步
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.71
Chengrong Xie, Yuhua Xu
{"title":"Chaos Control and Synchronization of a New Chaotic System","authors":"Chengrong Xie, Yuhua Xu","doi":"10.1109/IWCFTA.2010.71","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.71","url":null,"abstract":"This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically for two different response systems, and compare the speed of synchronization between the drive system and two different response systems. Numerical simulations are given to show the effectiveness of these methods.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"32 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":"125904763","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
New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems 一类混沌金融系统全局指数吸引集的新估计及同步控制
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.19
Jigui Jian, Hui Yu
{"title":"New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems","authors":"Jigui Jian, Hui Yu","doi":"10.1109/IWCFTA.2010.19","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.19","url":null,"abstract":"In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of two chaotic finance systems. The controllers here designed have simple structure. The numerical simulation results are in line with the theoretical analysis.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"283 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":"113982739","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 Legendre Multifractal Spectrum Distribution Based on WTMM 基于WTMM的Legendre多重分形谱分布
2010 International Workshop on Chaos-Fractal Theories and Applications Pub Date : 2010-10-29 DOI: 10.1109/IWCFTA.2010.67
Gang Xiong, Shuning Zhang, Li Shu
{"title":"The Legendre Multifractal Spectrum Distribution Based on WTMM","authors":"Gang Xiong, Shuning Zhang, Li Shu","doi":"10.1109/IWCFTA.2010.67","DOIUrl":"https://doi.org/10.1109/IWCFTA.2010.67","url":null,"abstract":"In this paper, the time-varying Legendre multifractal spectrum is proposed. Similar to the Wigner-Ville time-frequency analysis, the time-delayed conjugation of analyzed signal is selected as the windows function, and the quadratic time-singularity exponent distribution of the instantaneous self-correlation is deduced based on the short-time multifractal analysis, i.e. quadratic time-singularity multifractal distribution. As a special form of Legendre spectrum, the Wavelet Transform Module Maxima (WTMM)Method of the quadratic time-singularity multifractal spectrum distribution is brought forward, and simulation based on WTMM proves the validity.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"40 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":"124637854","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
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