This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.
{"title":"Tracking Control Synchronization and Adaptive Feedback Synchronization of Unified Chaotic Systems","authors":"Hai Xie, B. Hu","doi":"10.1109/IWCFTA.2012.60","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.60","url":null,"abstract":"This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114764253","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}
This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the amplitude of a plasma instability proposed by Pikovski, Rabinovich and Trakhtengerts. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive a new ellipsoidal estimate and a cylindrical domain of the globally exponentially attractive set and positively invariant set for the PRT system via the generalized Lyapunov function theory. In addition, linear feedback control with both two states and two inputs is proposed to realize the globally exponential synchronization of two PRT systems via inequality techniques. Some sufficient algebraic criteria for the globally exponential synchronization of two PRT chaotic systems are obtained analytically. Numerical simulations are presented to show the effectiveness of the method.
{"title":"Estimations of Ultimate Bounds for the PRT System and Its Application in Chaos Synchronization","authors":"Weiwei Wang, Jigui Jian, Zhihua Zhao","doi":"10.1109/IWCFTA.2012.80","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.80","url":null,"abstract":"This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the amplitude of a plasma instability proposed by Pikovski, Rabinovich and Trakhtengerts. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive a new ellipsoidal estimate and a cylindrical domain of the globally exponentially attractive set and positively invariant set for the PRT system via the generalized Lyapunov function theory. In addition, linear feedback control with both two states and two inputs is proposed to realize the globally exponential synchronization of two PRT systems via inequality techniques. Some sufficient algebraic criteria for the globally exponential synchronization of two PRT chaotic systems are obtained analytically. Numerical simulations are presented to show the effectiveness of the method.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131511999","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}
In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.
{"title":"Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays","authors":"Yunxian Dai, Huitao Zhao, Yiping Lin","doi":"10.1109/IWCFTA.2012.20","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.20","url":null,"abstract":"In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124659955","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}
In this paper, we investigate active, nonlinear and linear matrix inequality (LMI) synchronization methods between two novel unified hyper chaotic systems. Synchronization between the two hyper chaotic systems is achieved based on the corresponding stability theorem. The main contribution of this paper is introducing LMI method to the synchronization of the hyper chaotic systems. Numerical simulations are presented to demonstrate the effectiveness of these methods.
{"title":"Some Synchronized Methods of a New Hyperchaotic System","authors":"Longge Zhang, Yan Yan","doi":"10.1109/IWCFTA.2012.57","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.57","url":null,"abstract":"In this paper, we investigate active, nonlinear and linear matrix inequality (LMI) synchronization methods between two novel unified hyper chaotic systems. Synchronization between the two hyper chaotic systems is achieved based on the corresponding stability theorem. The main contribution of this paper is introducing LMI method to the synchronization of the hyper chaotic systems. Numerical simulations are presented to demonstrate the effectiveness of these methods.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116635246","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}
In this paper, a simple adaptive control scheme is developed to study the full state hybrid projective synchronization (FSHPS) behavior between two identical hyper chaotic systems with unknown parameters. The adaptive FSHPS controllers are designed based on Lyapunov stability theorem and an analytic expression of the controllers with the adaptive laws of parameters are presented. The adaptive controllers can be simplified ulteriorly such that it is not necessary to exert controllers on all the variables to achieve complete synchronization. The experimental results show that parameters identification and FSHPS of two hyper chaotic systems can be realized simultaneously. The proposed methods have certain significance for reducing the cost and complexity for controller implementation.
{"title":"Adaptive Controller Design for Full State Hybrid Projective Synchronization of Uncertain Hyperchaotic Systems","authors":"Congxu Zhu, K. Sun","doi":"10.1109/IWCFTA.2012.62","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.62","url":null,"abstract":"In this paper, a simple adaptive control scheme is developed to study the full state hybrid projective synchronization (FSHPS) behavior between two identical hyper chaotic systems with unknown parameters. The adaptive FSHPS controllers are designed based on Lyapunov stability theorem and an analytic expression of the controllers with the adaptive laws of parameters are presented. The adaptive controllers can be simplified ulteriorly such that it is not necessary to exert controllers on all the variables to achieve complete synchronization. The experimental results show that parameters identification and FSHPS of two hyper chaotic systems can be realized simultaneously. The proposed methods have certain significance for reducing the cost and complexity for controller implementation.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134173890","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}
Four different fault signals are simulated and collected which are oil whip fault signal, rub-impact fault signal, rub-oil whip coupling fault signal and rub - oil whip - loose coupling fault signal In the experimental stage. Using fractal theory, fractal dimension of vibration signal of X direction and the Y direction are separately calculated and resultant dimension of these two directions is obtained. Then, resultant dimension and its dimension energy spectrum are used as characteristic quantity to achieve the feature extraction and recognition. Because resultant dimension is synthesis of the fractal dimension of two directions vibrates signal, it combines the vibration information of two directions. Therefore, it can reflect comprehensively and really mechanical system's vibration characteristic, the reliability of failure diagnosis is greatly improved.
{"title":"Technical Method of Fault Diagnoses Based on Fractal Theory","authors":"Bingcheng Wang, Z. Ren","doi":"10.1109/IWCFTA.2012.66","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.66","url":null,"abstract":"Four different fault signals are simulated and collected which are oil whip fault signal, rub-impact fault signal, rub-oil whip coupling fault signal and rub - oil whip - loose coupling fault signal In the experimental stage. Using fractal theory, fractal dimension of vibration signal of X direction and the Y direction are separately calculated and resultant dimension of these two directions is obtained. Then, resultant dimension and its dimension energy spectrum are used as characteristic quantity to achieve the feature extraction and recognition. Because resultant dimension is synthesis of the fractal dimension of two directions vibrates signal, it combines the vibration information of two directions. Therefore, it can reflect comprehensively and really mechanical system's vibration characteristic, the reliability of failure diagnosis is greatly improved.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"1991 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130872048","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}
This study examines some dynamical behaviors, in simulations of financial systems. A new fractional-order financial system is proposed in this study. It is a generalization of a dynamic financial model recently reported in the literature. The basic dynamical behaviors of this financial system are investigated, such as the equilibrium, stability. Furthermore, it has been found that chaos exists in the fractional-order financial systems. Numerical simulations are given to illustrate and verify the results.
{"title":"Dynamical Behaviors and Chaos in a New Fractional-order Financial System","authors":"Zhoujin Cui, P. Yu, Zong Wen","doi":"10.1109/IWCFTA.2012.32","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.32","url":null,"abstract":"This study examines some dynamical behaviors, in simulations of financial systems. A new fractional-order financial system is proposed in this study. It is a generalization of a dynamic financial model recently reported in the literature. The basic dynamical behaviors of this financial system are investigated, such as the equilibrium, stability. Furthermore, it has been found that chaos exists in the fractional-order financial systems. Numerical simulations are given to illustrate and verify the results.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133807897","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}
In this paper we study the performance of communication networks from a network science perspective. We study the traffic performance of scale-free network under shortest path and minimum degree routing. We introduce the node usage probability, which depends on both the network topology and routing algorithm, to characterize the traffic load distribution and show that resource allocation based on the node usage probability outperforms the uniform and degree-based allocation scheme.
{"title":"Concept of Node Usage Probability for Analysis and Design of Communication Networks","authors":"Jiajing Wu, C. Tse, F. Lau, I. W. Ho","doi":"10.1109/IWCFTA.2012.43","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.43","url":null,"abstract":"In this paper we study the performance of communication networks from a network science perspective. We study the traffic performance of scale-free network under shortest path and minimum degree routing. We introduce the node usage probability, which depends on both the network topology and routing algorithm, to characterize the traffic load distribution and show that resource allocation based on the node usage probability outperforms the uniform and degree-based allocation scheme.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133822870","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}
This Paper explores using a non-linear system to construct dynamic logic architecture-cellular neural networks (CNN). The proposed CNN schemes can discriminate the two input signals and switch easily among different 16 kinds of operational roles by changing parameters. Each logic cell performs more flexibly, that makes it possible to achieve complex logic operations and construct computing architecture with less logic cells. We also proposed a new formula of hysteresis CNN to ensure that the output is strict binary.
{"title":"Implementation and Improvement of Dynamic Logic Gates Based on Cellular Neural Networks","authors":"Xiaozheng Yuan, Wenbo Liu","doi":"10.1109/IWCFTA.2012.30","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.30","url":null,"abstract":"This Paper explores using a non-linear system to construct dynamic logic architecture-cellular neural networks (CNN). The proposed CNN schemes can discriminate the two input signals and switch easily among different 16 kinds of operational roles by changing parameters. Each logic cell performs more flexibly, that makes it possible to achieve complex logic operations and construct computing architecture with less logic cells. We also proposed a new formula of hysteresis CNN to ensure that the output is strict binary.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133389743","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}
Recently, various image encryption algorithms have been proposed in order to images from unauthorized access and distribution, and most of them only has the operation on encryption in spatial domain, but no consideration of its corresponding compression. Therefore, to ensure the level of compression ratio and image quality, a class of JPEG image encryption algorithm based on spatiotemporal chaos is proposed in this paper. Here, only the DC coefficients are extracted and split so that general statistical distribution of all Discrete Cosine Transform (DCT) coefficients remains unchanged. For the encryption process, a spatiotemporal-chaos system is utilized to shuffle the DCT blocks and diffuse the quantized DC coefficients. Analysis and experimental results show the encryption algorithm is secure and the compression ration is good.
{"title":"JPEG Image Encryption Algorithm Based on Spatiotemporal Chaos","authors":"Yuling Luo, Minghui Du, Dong Liu","doi":"10.1109/IWCFTA.2012.49","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.49","url":null,"abstract":"Recently, various image encryption algorithms have been proposed in order to images from unauthorized access and distribution, and most of them only has the operation on encryption in spatial domain, but no consideration of its corresponding compression. Therefore, to ensure the level of compression ratio and image quality, a class of JPEG image encryption algorithm based on spatiotemporal chaos is proposed in this paper. Here, only the DC coefficients are extracted and split so that general statistical distribution of all Discrete Cosine Transform (DCT) coefficients remains unchanged. For the encryption process, a spatiotemporal-chaos system is utilized to shuffle the DCT blocks and diffuse the quantized DC coefficients. Analysis and experimental results show the encryption algorithm is secure and the compression ration is good.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"8 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125660788","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}
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