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2012 Fifth International Workshop on Chaos-fractals Theories and Applications最新文献

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Numerical Simulation of Limit Cycles for Two Differential Polynomial Systems 两个微分多项式系统极限环的数值模拟
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.26
X. Hong, J. Yan, Yun-qiu Wang
{"title":"Numerical Simulation of Limit Cycles for Two Differential Polynomial Systems","authors":"X. Hong, J. Yan, Yun-qiu Wang","doi":"10.1109/IWCFTA.2012.26","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.26","url":null,"abstract":"Bifurcation of limit cycles for two differential polynomial systems is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the differential polynomial systems. The study reveals that each of the two systems has 8 limit cycles using detection function approach. By using method of numerical simulation, the distributed orderliness of these limit cycles is observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"3 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":"130434492","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
Simulation Experiment Research on the Chaotic Characteristics of the Simple Unary Polynomial Transformation 简单一元多项式变换混沌特性的仿真实验研究
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.34
Hong Chen, Ling Wu, L. Lin, Guo-qiang Lan, Q. Ding
{"title":"Simulation Experiment Research on the Chaotic Characteristics of the Simple Unary Polynomial Transformation","authors":"Hong Chen, Ling Wu, L. Lin, Guo-qiang Lan, Q. Ding","doi":"10.1109/IWCFTA.2012.34","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.34","url":null,"abstract":"To enhance the complexity of the chaos, improve the characteristics of chaos, and increase the number of chaotic types, a simple method is put forward in this paper. This method does not need to change the existing chaotic system, but just makes a nonlinear transformation to the chaotic signal by a unary polynomial. The nonlinear transformation has the characteristic that its physical circuit is easy to implement. Therefore, after a systematic consideration, a simple unary polynomial is chosen in this paper and a series of simulation experiments are conducted from the aspects of Lyapunov exponent, power spectrum, phase diagram and the sensitivity to initial conditions. The results show that this method is effective and feasible.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"23 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":"131691500","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
Stability and Hopf Bifurcation Analysis of Genesio System with Distributed Delays Feedback 分布时滞反馈Genesio系统的稳定性与Hopf分岔分析
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.19
J. Guan, F. Chen
{"title":"Stability and Hopf Bifurcation Analysis of Genesio System with Distributed Delays Feedback","authors":"J. Guan, F. Chen","doi":"10.1109/IWCFTA.2012.19","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.19","url":null,"abstract":"In this paper, the Genesio system with distributed time delay feedback is studied. Its linear stability is investigated based on the Routh-Hurwitz criteria. After the local asymptotic stability is analyzed, Hopf bifurcation is demonstrated by choosing the mean time delay as a bifurcation parameter. The direction and the stability criteria of the bifurcating periodic solutions are determined by applying the normal form theory and the center manifold theorem. Finally, some numerical simulations are presented to verify the effectiveness of the theoretical results.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"9 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":"132926649","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 Dynamical Behavior and the Numerical Simulation of a Seven-Modes System of the Navier-Stokes Equations for a Two-Dimensional Incompressible Fluid on a Torus 二维不可压缩流体环面上Navier-Stokes方程组七模态系统的动力学行为及数值模拟
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.21
Heyuan Wang, Yan Gao
{"title":"The Dynamical Behavior and the Numerical Simulation of a Seven-Modes System of the Navier-Stokes Equations for a Two-Dimensional Incompressible Fluid on a Torus","authors":"Heyuan Wang, Yan Gao","doi":"10.1109/IWCFTA.2012.21","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.21","url":null,"abstract":"A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is considered. Its stationary solutions and stability are presented, the existence of attractor and the global stability of the system are discussed. The whole process, which shows a chaos behavior approached through an involved sequence of bifurcations, is simulated numerically by computer with the changing of Reynolds number.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"16 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":"121923484","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
A New Memristor Based Hyperchaotic System 一种基于忆阻器的超混沌系统
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.37
Yuxia Li, Wenqing Chi, Xia Huang
{"title":"A New Memristor Based Hyperchaotic System","authors":"Yuxia Li, Wenqing Chi, Xia Huang","doi":"10.1109/IWCFTA.2012.37","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.37","url":null,"abstract":"In this paper, based on improved Chua's chaotic oscillation circuit (MCK circuit), a four-dimensional autonomous hyper chaotic system with memristor is presented, in this system piecewise-linear function taken to describe the nonlinearity of the Chua diode has been replaced by a cubic polynomial. This circuit consists of just five linear components (two resistors, two capacitors and inductor), two nonlinear components (negative conductor and flux-controlled memristor). This has been investigated extensively using numerical analysis in this paper.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"6 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":"115936871","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
Synchronization of Fractional-order Chaotic Systems via Modified Sliding Mode Control 分数阶混沌系统的改进滑模同步控制
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.56
Weibo Jiang, Tiedong Ma
{"title":"Synchronization of Fractional-order Chaotic Systems via Modified Sliding Mode Control","authors":"Weibo Jiang, Tiedong Ma","doi":"10.1109/IWCFTA.2012.56","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.56","url":null,"abstract":"This paper investigates the synchronization of fractional-order chaotic systems via sliding mode control method. A fractional-order sliding surface is proposed and the corrreponding controller is formulated based on the fractional version of the Lyapunov stability theory, which can guarantees asymptotical stability of fractional-order chaotic systems. Finally, simulation results are given to demonstrate the effectiveness of the proposed sliding mode control method.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"21 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":"114480571","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
Hyperspace System Induced by a Class of Non-primitive Substitutions 一类非原元替换诱导的超空间系统
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.18
Wei Wang, Jian Li, Xin Zhao
{"title":"Hyperspace System Induced by a Class of Non-primitive Substitutions","authors":"Wei Wang, Jian Li, Xin Zhao","doi":"10.1109/IWCFTA.2012.18","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.18","url":null,"abstract":"This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"1 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":"130865694","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
Adaptive Synchronization of the Incommensurate Fractional-order Chaotic Systems with Fully Unknown Parameters 参数完全未知的非相称分数阶混沌系统的自适应同步
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.82
R. Zhanga, Gang Tian, Lanzhong Li, Jingbo Gong
{"title":"Adaptive Synchronization of the Incommensurate Fractional-order Chaotic Systems with Fully Unknown Parameters","authors":"R. Zhanga, Gang Tian, Lanzhong Li, Jingbo Gong","doi":"10.1109/IWCFTA.2012.82","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.82","url":null,"abstract":"This letter presents a modified adaptive control scheme to synchronize the incommensurate fractional-order chaotic systems with fully unknown parameters. Based on Lyapunov stability theory and fractional order differential inequality, a simple adaptive controller is developed using modified adaptive control scheme. The proposed scheme is global and theoretically rigorous. Simulation results for the fractional-order hyperchaotic Lorenz system is provided to illustrate the effectiveness of the proposed scheme.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"8 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":"125397910","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
A Novel Digital Image Cryptosystem with Chaotic Permutation and Perturbation Mechanism 一种具有混沌置换和摄动机制的新型数字图像密码系统
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.51
Tao Song
{"title":"A Novel Digital Image Cryptosystem with Chaotic Permutation and Perturbation Mechanism","authors":"Tao Song","doi":"10.1109/IWCFTA.2012.51","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.51","url":null,"abstract":"Symmetric stream cipher with chaotic maps have been proven to be feasible and secure for digital image encryption, where 2D Cat map as well as Baker map are usually employed to permute pixels and 1D chaotic maps are employed to diffuse the values of pixels. In this paper, a new permutation method with perturbation strategy is proposed, which is used to enhance the performance of Cat map and hence the security degree of the image cryptosystem. Moreover, a chaotic orbit perturbation mechanism is introduced in diffusion procedure to further enhance the security of the cryptosystem. Intensive security analysis is carried out and the results demonstrate that the proposed cryptosystem is suitable for high secure image transmission applications.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"35 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":"114402298","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
Path-Based Incremental Target Level Algorithm for Nondifferentiable Optimization 基于路径的不可微优化增量目标级算法
2012 Fifth International Workshop on Chaos-fractals Theories and Applications Pub Date : 2012-10-18 DOI: 10.1109/IWCFTA.2012.35
Peng Zhang
{"title":"Path-Based Incremental Target Level Algorithm for Nondifferentiable Optimization","authors":"Peng Zhang","doi":"10.1109/IWCFTA.2012.35","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.35","url":null,"abstract":"In this paper, we consider Path-Based incremental target level algorithm for a type of nondifferentiable optimization in a Hilbert space. We prove that the problem has solutions when the constraint set is bounded, and the sequence generated in this way is weakly convergence.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"32 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":"124567859","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
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