{"title":"Hopf-type Bifurcation in Three-Phase PFC Power Supplies Connected to Non-ideal Power Grid","authors":"Meng Huang, C. Tse, Siu-Chung Wong","doi":"10.1109/IWCFTA.2012.41","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.41","url":null,"abstract":"Three-phase power factor correction (PFC) power supplies are commonly used to convert ac power from a three-phase grid to a regulated dc voltage. However, the non-ideal power grid may drive the converter to enter a low-frequency instability region. In this paper, a low-frequency instability phenomenon in three-phase PFC power supplies is reported. The converter can also be regarded as exhibiting a Hopf-type bifurcation in which the dc output voltage oscillates at 150 Hz, and large amount of harmonics appear on the line current. We develop an averaged model of the grid-converter system to predict the low-frequency instability. Additionally, as a result of the emergence of low-frequency oscillation, the stability boundary leading to a catastrophic bifurcation changes dramatically. These phenomena are verified with realistic cycle-by-cycle simulations.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"7 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":"127699283","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}
{"title":"Estimations of Bounds for the Laser-Plasma Interaction System","authors":"Weiwei Wang, Jigui Jian","doi":"10.1109/IWCFTA.2012.74","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.74","url":null,"abstract":"To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the laser-plasma interaction. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive some new ellipsoidal estimates of the globally exponentially attractive set and positively invariant set of the laser-plasma interaction system via the generalized Lyapunov function theory. Furthermore, the estimations derived here contain the existing relative results on the globally exponentially attractive set as special cases and can lead to a series of new estimations.","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":"131377933","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}
{"title":"Anti-Synchronization Control and Stabilization of 3-dimension Discrete Hénon Map","authors":"Yin Li, Chun-long Zheng","doi":"10.1109/IWCFTA.2012.53","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.53","url":null,"abstract":"In this paper, we study general anti-synchronization control and stabilization of 3-dimension discrete h-enon map by symbolic computation system Maple and control method, the 3D generalized H-enon map is stabilized to fixed points. In stabilizing unstable discrete systems to a fixed point or high-period orbit process, we require no a prior analytical knowledge of the system under investigation, nor any additional control parameters. And we also use general anti-synchronization scheme to illustrate the controllable scheme of 3D H-enon maps. Numeric simulations are used to verify the effectiveness of our scheme.","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":"123915460","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}
{"title":"AES Key Expansion Algorithm Based on 2D Logistic Mapping","authors":"Dongming Chen, Deding Qing, Dongqi Wang","doi":"10.1109/IWCFTA.2012.81","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.81","url":null,"abstract":"The shortage of original AES key generation and expansion strategy was researched. Based on these researches, the new AES key generation and expansion algorithms are proposed. In these algorithms, two-dimensional Logistic mapping is used to reduce the dependence between sub-keys. Experimental result shows that the security and robustness of the AES sub-keys have been strengthened.","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":"124315537","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}
{"title":"The Generation of Hyperchaotic System and its Circuit Implementation","authors":"Hai Yu, Xu Zhang, G. Lv, Zhiliang Zhu","doi":"10.1109/IWCFTA.2012.38","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.38","url":null,"abstract":"Based on the chaos anti-control theory, a new Lorenz hyper chaotic system family is proposed by adding a linear controller to the three dimensional autonomous Lorenz system family in this paper. It has been verified that the systems in the newly proposed family have the possibility of hyper chaos by analyzing their symmetry, dissipation, the stability of their equilibrium points, as well as the Lyapunov exponent spectrum. The circuits of hyper chaotic systems are given, from which hyper chaotic attractors are obtained. Thus the feasibility of this method can be proved.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"83 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":"116687982","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}
{"title":"The Bidirectional Coupled Synchronization of Chaotic System Using Finite-time Control","authors":"Tao Ren, Zhi-liang Zhu, Hai Yu","doi":"10.1109/IWCFTA.2012.65","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.65","url":null,"abstract":"In this paper, the finite-time control method is proposed to achieve synchronization based on bidirectional coupled chaotic systems. The stability criteria is presented for error system based on Lyapunov method. Compared to other results, the proposed controller is simpler and the new nonlinear system is considered which is consisted of the chaos system and the finite time controller. The Wolf method is used to calculate the largest Lyapunov exponent which shows that the controlled chaos system remains chaotic features. Simulation results for Lorenz system are presented to illustrate the effectiveness of the finite-time synchronization control 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":"116162328","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}
Shuming Jiang, Z. Wei, Jianfeng Zhang, Hao Liu, Shuai Wang
{"title":"A New Chaotic System Based on Delayed Feedback Control Method","authors":"Shuming Jiang, Z. Wei, Jianfeng Zhang, Hao Liu, Shuai Wang","doi":"10.1109/IWCFTA.2012.17","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.17","url":null,"abstract":"With the further research of nonlinear systems, we have discovered that many practical physical circuits contain chaotic phenomenon. At the same time, a number of control schemes can be used to controlled chaotic system, such as control by Ott-Grebogi-Yorke (OGY) method, control by delayed feedback control (DFC) method, control by synchronization and so on. Delayed feedback control was proposed by Pyragas to stabilize unstable period orbits embedded in a chaotic attractor. In contrast to the other method, it has the advantage of not requiring prior knowledge of anything except the period of the desired orbit. In this paper, we took a new three dimensional autonomous continuous system in [6] as an example and analyzed chaotic characters of this chaotic system and studied the stability of DFC system by using theoretical explanation and experimental results.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"121 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":"132770754","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}
{"title":"Chaos Control in a Class of Fractional-order Stochastic Lorenz System","authors":"Jing Hou, Shaojuan Ma","doi":"10.1109/IWCFTA.2012.58","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.58","url":null,"abstract":"This paper briefly introduce the chaos control in a class of fractional-order stochastic Lorenz system. The fractional-order Lorenz system with random parameter can be reduced to its equivalent deterministic one according to orthogonal polynomial approximation principle, and researched by linear feedback method. The numerical results show that this method used in a class of fractional-order stochastic Lorenz system is effective and feasible.","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":"133189706","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}
{"title":"Mean First-passage Time on a Network through Edge Iteration","authors":"Long Li, Wei-gang Sun, Guixiang Wang","doi":"10.1109/IWCFTA.2012.33","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.33","url":null,"abstract":"In this paper, we study mean first-passage time (MFPT) for random walks on a network through edge iteration. The feature of this kind of network is that every existing edge gives birth to finite nodes at each step. According to the network structures, we obtain the analytical expression for MFPT, which shows that the MFPT grows as a power-law function with the number of nodes in the large limit of network order. In addition, the scaling exponent of MFPT is same for the initial state of the networks with three or four nodes.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"462 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":"131579146","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}
{"title":"On a New Three-dimensional Chaotic System with Only One Equilibrium Based on a Series Memristive Circuit","authors":"Zengqiang Chen, Shijian Cang, Zenghui Wang, Yuchi Zhao","doi":"10.1109/IWCFTA.2012.16","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.16","url":null,"abstract":"This paper introduces several basic principles of chaos generated by memristive circuits in accordance with the characteristic of memristor, and a new three-dimensional chaotic system with only one equilibrium are further proposed based on a series memristive circuit. The numerical results show that the proposed memristive system has the common features of nonlinear system under different parameters, such as periodic orbit and chaos which are demonstrated by numerical simulations, bifurcation analysis. Most importantly, the system can be used for illustrating continuous period-double bifurcations routing to chaos.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"93 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":"132061273","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}