Zhi-liang Zhu, Ying Tang, Qiong Liu, Wei Zhang, Hai Yu
In this paper, a new joint compression and encryption scheme based on adaptive Huffman tree using chaotic maps is proposed. Due to the intrinsic feature of adaptive Huffman coding, it permits building the code as the symbols are being transmitted and can be applied in real time applications. In proposed scheme, the adaptive Huffman tree is mutated by a key-stream generated by two chaotic maps, and the probabilistic model is not changed after encryption. The security of the scheme is tested against the brute force attack and Shannon entropy analysis. In addition, performance analysis such as encryption-decryption efficiency and compression ratio are given.
{"title":"A Chaos-based Joint Compression and Encryption Scheme Using Mutated Adaptive Huffman Tree","authors":"Zhi-liang Zhu, Ying Tang, Qiong Liu, Wei Zhang, Hai Yu","doi":"10.1109/IWCFTA.2012.52","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.52","url":null,"abstract":"In this paper, a new joint compression and encryption scheme based on adaptive Huffman tree using chaotic maps is proposed. Due to the intrinsic feature of adaptive Huffman coding, it permits building the code as the symbols are being transmitted and can be applied in real time applications. In proposed scheme, the adaptive Huffman tree is mutated by a key-stream generated by two chaotic maps, and the probabilistic model is not changed after encryption. The security of the scheme is tested against the brute force attack and Shannon entropy analysis. In addition, performance analysis such as encryption-decryption efficiency and compression ratio are given.","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":"124270934","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 introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space such that the restriction of the delayed shift on the subset is distributively chaotic.
{"title":"Complexity of a Kind of Special Shift Map","authors":"Zhenyan Chu, Lidong Wang, Hong Lin","doi":"10.1109/IWCFTA.2012.13","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.13","url":null,"abstract":"In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space such that the restriction of the delayed shift on the subset is distributively chaotic.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"27 18","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120976963","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 work, we provide a practical implementation of a new memristor based chaotic circuit, which was generated by replacing the nonlinear resistor in the canonical Chua's circuit with a flux-controlled memristor. The existence of the chaos is not only demonstrated by computer simulations, but also verified with Lyapunov exponents and bifurcation analysis. Moreover, we present a breadboarded circuit for the implementation of this chaotic circuit, by employing only the four basic circuit elements, the resistor, capacitor, inductor and memristor. Different chaotic attractors are illustrated by both numerical simulations and electronic experiments.
{"title":"Implementation of a New Memristor Based Chaotic System","authors":"Yuxia Li, L. Zhao, Wenqing Chi, S. Lu, Xia Huang","doi":"10.1109/IWCFTA.2012.75","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.75","url":null,"abstract":"In this work, we provide a practical implementation of a new memristor based chaotic circuit, which was generated by replacing the nonlinear resistor in the canonical Chua's circuit with a flux-controlled memristor. The existence of the chaos is not only demonstrated by computer simulations, but also verified with Lyapunov exponents and bifurcation analysis. Moreover, we present a breadboarded circuit for the implementation of this chaotic circuit, by employing only the four basic circuit elements, the resistor, capacitor, inductor and memristor. Different chaotic attractors are illustrated by both numerical simulations and electronic experiments.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"48 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":"122385285","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 an operable, universal and simple theory on the attractiveness of the invariant manifolds of the two-dimensional dynamical systems is first obtained. It is motivated by the Lyapunovdirect method. It means that for any point x→ in the invariant manifold M, n(x→) is the normal passing by x→, and ∀x→ ∈n(x→), if the tangent f(x→) of the orbit of the dynamical system intersects at obtuse (sharp) angle with the n(x→), or the inner product of the normal vector n→(x→) and tangent vector f→(x→) is negative (positive), i.e., f→(x→). n→(x→) <; (>;)0, then the invariant manifold M is attractive (repulsive). Some illustrative examples of the invariant manifolds, such as equilibria, periodic solution, stable and unstable manifolds, other invariant manifold are presented to support this result.
{"title":"Attractiveness of Invariant Manifolds of Two Dimensional Dynamical Systems","authors":"Pei Lijun","doi":"10.1109/IWCFTA.2012.15","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.15","url":null,"abstract":"In this paper an operable, universal and simple theory on the attractiveness of the invariant manifolds of the two-dimensional dynamical systems is first obtained. It is motivated by the Lyapunovdirect method. It means that for any point x<sup>→</sup> in the invariant manifold M, n(x<sup>→</sup>) is the normal passing by x<sup>→</sup>, and ∀x<sup>→</sup> ∈n(x<sup>→</sup>), if the tangent f(x<sup>→</sup>) of the orbit of the dynamical system intersects at obtuse (sharp) angle with the n(x<sup>→</sup>), or the inner product of the normal vector n<sup>→</sup>(x<sup>→</sup>) and tangent vector f<sup>→</sup>(x<sup>→</sup>) is negative (positive), i.e., f<sup>→</sup>(x<sup>→</sup>). n<sup>→</sup>(x<sup>→</sup>) <; (>;)0, then the invariant manifold M is attractive (repulsive). Some illustrative examples of the invariant manifolds, such as equilibria, periodic solution, stable and unstable manifolds, other invariant manifold are presented to support this result.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"12 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":"123807869","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}
Sen Wang, Yangyang Zhao, Linyuan Xiao, Shaohua Wang
The motor control has progressed into more advanced PLC and MCU control system from the original relay control system. Currently, the thought of chaos control and chaos anti-control is budding. New information technology on the control of the motor, based on chaotic neural network, has higher stability, accuracy and reliability. While chaos control and anti-control can be used in pattern classification, information encryption, signal detection, image processing, optimization calculation, the application of chaos control and anti-control in the UAV has great advantages. The research for PMSM system chaos anti-control of UAV main-driven gradually popular, which will be a revolution of the UAV main-driven control.
{"title":"The Anti-control of UAV Main-driven System of PMSM Based on Chaos","authors":"Sen Wang, Yangyang Zhao, Linyuan Xiao, Shaohua Wang","doi":"10.1109/IWCFTA.2012.64","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.64","url":null,"abstract":"The motor control has progressed into more advanced PLC and MCU control system from the original relay control system. Currently, the thought of chaos control and chaos anti-control is budding. New information technology on the control of the motor, based on chaotic neural network, has higher stability, accuracy and reliability. While chaos control and anti-control can be used in pattern classification, information encryption, signal detection, image processing, optimization calculation, the application of chaos control and anti-control in the UAV has great advantages. The research for PMSM system chaos anti-control of UAV main-driven gradually popular, which will be a revolution of the UAV main-driven control.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"03 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":"131286315","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}
The Protein-Protein Interaction networks are the typical complex biological networks, and the analysis of their topological characteristics is one of the most important and widely discussed research topics today. This paper analyzes the topological characteristics of a PPI network based on the theory of complex networks, focusing on degree distribution, average path length, network diameter, clustering coefficient, degree correlations as well as fractality. The experimental results show that this PPI network has the typical scale-free and small-world distributions, low clustering coefficient, negative correlation, but it has no fractal feature.
{"title":"Analysis of the Topological Characteristics of a Protein-Protein Interaction Network","authors":"Yuanyuan Sun, Yujie Zhao, C. Tse, F. Lau","doi":"10.1109/IWCFTA.2012.36","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.36","url":null,"abstract":"The Protein-Protein Interaction networks are the typical complex biological networks, and the analysis of their topological characteristics is one of the most important and widely discussed research topics today. This paper analyzes the topological characteristics of a PPI network based on the theory of complex networks, focusing on degree distribution, average path length, network diameter, clustering coefficient, degree correlations as well as fractality. The experimental results show that this PPI network has the typical scale-free and small-world distributions, low clustering coefficient, negative correlation, but it has no fractal feature.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"129 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":"115188751","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}
Formal method is an important approach for construction of the trustworthy software. Koch curve is one of the typical fractals. Employing PAR method and the strategy of developing loop invariant, this paper develops non-recursive algorithmic program of L system based Koch curve and verifies the program formally. This paper aims at non-recursive algorithms directly", "and achieves loop invariant of L system based Koch curve with readable", "efficient and reliable non-recursive algorithm finally. The paper contributes to developing non-recursive algorithm using formal method and new strategy of developing loop invariant.
{"title":"Formal Development of Non-recursive Algorithm for L-system Based Koch Curve","authors":"Zhu Wei, Run-Jie Liu, Jin-Yuan Shen, Wei-Xin Mu","doi":"10.1109/IWCFTA.2012.67","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.67","url":null,"abstract":"Formal method is an important approach for construction of the trustworthy software. Koch curve is one of the typical fractals. Employing PAR method and the strategy of developing loop invariant, this paper develops non-recursive algorithmic program of L system based Koch curve and verifies the program formally. This paper aims at non-recursive algorithms directly\", \"and achieves loop invariant of L system based Koch curve with readable\", \"efficient and reliable non-recursive algorithm finally. The paper contributes to developing non-recursive algorithm using formal method and new strategy of developing loop invariant.","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":"114460777","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 the letter, we investigate the pinning synchronization in complex networks with non-delay and delay couplings. For the scheme of linear feedback control, synchronization criteria are obtained by Lyapunov stability theory. Sufficient conditions are derived for the synchronization to need the minimum number of pinning nodes. At last, a numerical simulation gives effectiveness of the pinning synchronization in complex networks with non-delay and delay couplings.
{"title":"Chaos Synchronization in Complex Networks with Non-delay and Delay Couplings via Pinning Control","authors":"Yi Liang, Xing-yuan Wang","doi":"10.1109/IWCFTA.2012.55","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.55","url":null,"abstract":"In the letter, we investigate the pinning synchronization in complex networks with non-delay and delay couplings. For the scheme of linear feedback control, synchronization criteria are obtained by Lyapunov stability theory. Sufficient conditions are derived for the synchronization to need the minimum number of pinning nodes. At last, a numerical simulation gives effectiveness of the pinning synchronization in complex networks with non-delay and delay couplings.","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":"126195313","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 new image encryption algorithm is proposed based on Qi hyper-chaotic system. Pseudo random sequences generated from Qi hyper-chaotic system are used to hide the image visual information and to change the image characteristics in the frequency and spatial domains. In this method, a two-level encryption is employed. The first level consists of a selective encryption of Discrete Cosine Transform coefficients at the frequency domain using exclusive or operation. In the second level, the pseudo random sequences' sorting is used to shuffle the image pixels in the spatial domain. The experimental results and analysis of the algorithm suggest that the proposed scheme provides not only effective encryption but also a large key space and a resistance to different types of attacks.
{"title":"Two-Level Image Encryption Algorithm Based on Qi Hyper-Chaos","authors":"S. B. Matondo, Guoyuan Qi","doi":"10.1109/IWCFTA.2012.47","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.47","url":null,"abstract":"In this paper a new image encryption algorithm is proposed based on Qi hyper-chaotic system. Pseudo random sequences generated from Qi hyper-chaotic system are used to hide the image visual information and to change the image characteristics in the frequency and spatial domains. In this method, a two-level encryption is employed. The first level consists of a selective encryption of Discrete Cosine Transform coefficients at the frequency domain using exclusive or operation. In the second level, the pseudo random sequences' sorting is used to shuffle the image pixels in the spatial domain. The experimental results and analysis of the algorithm suggest that the proposed scheme provides not only effective encryption but also a large key space and a resistance to different types of attacks.","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":"126480976","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}
Generalized function projective synchronization of coupled chaotic systems with parameter mismatch, time-delay and stochastic perturbation is investigated. The synchronization is realized by analyzing the stochastic stability of the error system. According to the invariance principle of the stochastic differential equation, the unknown parameters update laws and the control laws are proposed. The generalized function projective synchronization of coupled chaotic or hyper chaotic systems is realized. At last, a numerical example is presented to show the effectiveness of the theoretical results.
{"title":"Generalized Function Projective Synchronization of Chaotic Systems with Time-delay and Stochastic Perturbation","authors":"Shuo Zhang, Yongguang Yu, Hu Wang","doi":"10.1109/IWCFTA.2012.63","DOIUrl":"https://doi.org/10.1109/IWCFTA.2012.63","url":null,"abstract":"Generalized function projective synchronization of coupled chaotic systems with parameter mismatch, time-delay and stochastic perturbation is investigated. The synchronization is realized by analyzing the stochastic stability of the error system. According to the invariance principle of the stochastic differential equation, the unknown parameters update laws and the control laws are proposed. The generalized function projective synchronization of coupled chaotic or hyper chaotic systems is realized. At last, a numerical example is presented to show the effectiveness of the theoretical results.","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":"125165864","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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