Relevant bibliographies by topics / Hyperchaotic system

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Hyperchaotic system'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 June 2024

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Journal articles on the topic "Hyperchaotic system"

1

MA, CHAO, and XINGYUAN WANG. "BRIDGE BETWEEN THE HYPERCHAOTIC LORENZ SYSTEM AND THE HYPERCHAOTIC CHEN SYSTEM." International Journal of Modern Physics B 25, no. 05 (February 20, 2011): 711–21. http://dx.doi.org/10.1142/s0217979211057967.

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This paper presents a novel unified hyperchaotic system that contains the hyperchaotic Lorenz system and the hyperchaotic Chen system as two dual systems at the two extremes of its parameter spectrum. The new system is hyperchaotic over almost the whole range of the system parameter and continuously transfers from the hyperchaotic Lorenz system to the hyperchaotic Chen system. The new findings are not only demonstrated by computer simulations but also verified with bifurcation analysis, Lyapunov exponents and Lyapunov dimension.
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Sahin, Muhammet Emin, Hasan Guler, and Serdar Ethem Hamamci. "Design and Realization of a Hyperchaotic Memristive System for Communication System on FPGA." Traitement du Signal 37, no. 6 (December 31, 2020): 939–53. http://dx.doi.org/10.18280/ts.370607.

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In this study, a memristor based hyperchaotic circuit is presented and implemented for communication systems on FPGA platform. Four dimensional hyperchaotic system, which contains active flux controlled memristor is designed by using a smooth continuous nonlinearity. Dynamical characteristics of designed hyperchaotic circuit are examined such as equilibrium points, chaotic attractors, Lyapunov exponents and bifurcation diagram. Furthermore, an electronic circuit model of hyperchaotic system has been modeled and results are submitted. Chaotic circuits are used in communication systems especially in secure communication due to their sensitive dependence on the initial conditions, not periodic, and having a spread spectrum. By using nonlinearity of memristor, the signals obtained from memristor based hyperchaotic system have been realized to analog and digital communication schemes on FPGA platform, which is suitable for re-programmable and reconfigurable systems. The success of memristor based hyperchaotic circuit with FPGA based communication is demonstrated by both simulation and experimental results.
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Vaidyanathan, Sundarapandian. "Hyperchaos, adaptive control and synchronization of a novel 4-D hyperchaotic system with two quadratic nonlinearities." Archives of Control Sciences 26, no. 4 (December 1, 2016): 471–95. http://dx.doi.org/10.1515/acsc-2016-0026.

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AbstractThis research work announces an eleven-term novel 4-D hyperchaotic system with two quadratic nonlinearities. We describe the qualitative properties of the novel 4-D hyperchaotic system and illustrate their phase portraits. We show that the novel 4-D hyperchaotic system has two unstable equilibrium points. The novel 4-D hyperchaotic system has the Lyapunov exponents L1= 3.1575, L2= 0.3035, L3= 0 and L4= −33.4180. The Kaplan-Yorke dimension of this novel hyperchaotic system is found as DKY= 3.1026. Since the sum of the Lyapunov exponents of the novel hyperchaotic system is negative, we deduce that the novel hyperchaotic system is dissipative. Next, an adaptive controller is designed to stabilize the novel 4-D hyperchaotic system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 4-D hyperchaotic systems with unknown system parameters. The adaptive control results are established using Lyapunov stability theory. MATLAB simulations are depicted to illustrate all the main results derived in this research work.
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Xiong, Li, Zhenlai Liu, and Xinguo Zhang. "Dynamical Analysis, Synchronization, Circuit Design, and Secure Communication of a Novel Hyperchaotic System." Complexity 2017 (2017): 1–23. http://dx.doi.org/10.1155/2017/4962739.

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This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the Lyapunov exponents of the new hyperchaotic system, are all investigated analytically and numerically. Then, an active control method is derived to achieve global chaotic synchronization of the novel hyperchaotic system through making the synchronization error system asymptotically stable at the origin based on Lyapunov stability theory. Next, the proposed novel hyperchaotic system is applied to construct another new hyperchaotic system with circuit deformation and design a new hyperchaotic secure communication circuit. Furthermore, the implementation of two novel electronic circuits of the proposed hyperchaotic systems is presented, examined, and realized using physical components. A good qualitative agreement is shown between the simulations and the experimental results around 500 kHz and below 1 MHz.
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Chai, Yi, Liping Chen, and Ranchao Wu. "Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order." Journal of Applied Mathematics 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/762807.

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This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.
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Wang Xing-Yuan and Wang Ming-Jun. "Hyperchaotic Lorenz system." Acta Physica Sinica 56, no. 9 (2007): 5136. http://dx.doi.org/10.7498/aps.56.5136.

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Wu, Yan-Ping, and Guo-Dong Wang. "Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller." Journal of Applied Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/151025.

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The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and between integer-order hyperchaotic Chen system and fractional-order hyperchaotic Rössler system is used to illustrate the effectiveness of the proposed synchronization approach. Numerical simulations coincide with the theoretical analysis.
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Vaidyanathan, Sundarapandian, Christos Volos, and Viet-Thanh Pham. "Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation." Archives of Control Sciences 24, no. 4 (December 1, 2014): 409–46. http://dx.doi.org/10.2478/acsc-2014-0023.

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Abstract In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D hyperchaotic Lorenz system (Jia, 2007) with three quadratic nonlinearities. The 4-D hyperchaotic Lorenz system (Jia, 2007) has the Lyapunov exponents L1 = 0.3684,L2 = 0.2174,L3 = 0 and L4 =−12.9513, and the Kaplan-Yorke dimension of this 4-D system is found as DKY =3.0452. The 5-D novel hyperchaotic Lorenz system proposed in this work has the Lyapunov exponents L1 = 0.4195,L2 = 0.2430,L3 = 0.0145,L4 = 0 and L5 = −13.0405, and the Kaplan-Yorke dimension of this 5-D system is found as DKY =4.0159. Thus, the novel 5-D hyperchaotic Lorenz system has a maximal Lyapunov exponent (MLE), which is greater than the maximal Lyapunov exponent (MLE) of the 4-D hyperchaotic Lorenz system. The 5-D novel hyperchaotic Lorenz system has a unique equilibrium point at the origin, which is a saddle-point and hence unstable. Next, an adaptive controller is designed to stabilize the novel 5-D hyperchaotic Lorenz system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 5-D hyperchaotic Lorenz systems with unknown system parameters. Finally, an electronic circuit realization of the novel 5-D hyperchaotic Lorenz system using SPICE is described in detail to confirm the feasibility of the theoretical model.
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Chai, Xiuli, Zhihua Gan, and Chunxiao Shi. "Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure." Mathematical Problems in Engineering 2013 (2013): 1–15. http://dx.doi.org/10.1155/2013/282064.

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Modified function projective lag synchronization (MFPLS) of uncertain hyperchaotic dynamical systems with the same or different dimensions and structures is studied. Based on Lyapunov stability theory, a general theorem for controller designing, parameter update rule designing, and control gain strength adapt law designing is introduced by using adaptive control method. Furthermore, the scheme is applied to four typical examples: MFPLS between two five-dimensional hyperchaotic systems with the same structures, MFPLS between two four-dimensional hyperchaotic systems with different structures, MFPLS between a four-dimensional hyperchaotic system and a three-dimensional chaotic system and MFPLS between a novel three-dimensional chaotic system, and a five-dimensional hyperchaotic system. And the system parameters are all uncertain. Corresponding numerical simulations are performed to verify and illustrate the analytical results.
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BAO, BOCHENG, JIANPING XU, ZHONG LIU, and ZHENGHUA MA. "HYPERCHAOS FROM AN AUGMENTED LÜ SYSTEM." International Journal of Bifurcation and Chaos 20, no. 11 (November 2010): 3689–98. http://dx.doi.org/10.1142/s0218127410027969.

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This letter introduces a hyperchaotic system from the Lü system [Lü et al., 2004] with a linear state feedback controller. This hyperchaotic system has more complex dynamical behaviors, and can generate 4-scroll hyperchaotic attractor and 2-scroll chaotic attractor under different control parameters. In particular, the system can also exhibit novel coexisting intermittent chaotic orbits. Theoretical analyses and simulation experiments are conducted to investigate the dynamical behaviors of the proposed hyperchaotic system.
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Dissertations / Theses on the topic "Hyperchaotic system"

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Chen, Hang. "Optical Encryption Techniques for Color Image and Hyperspectral Data." Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0374.

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La sécurité est un problème important dans la transmission et le stockage de l'image, tandis que le cryptage est un moyen d'assurer la sécurité qui est requise dans de nombreuses applications (télévision par câble, la communication d'images militaires, systèmes d'imagerie confidentielle, etc.). Toutefois, à l'instar du message texte, les données images présentent des caractéristiques spéciales telles que la haute capacité, la redondance et la haute corrélation entre les pixels, et nécessite souvent une transmission et des traitements temps réel pour certaines applications. Construire un système rapide et efficace de cryptographie d'images suscite un intérêt considérable. C'est dans ce contexte qu’ont été menés ces travaux thèse qui portent sur l’élaboration d’un corrélateur optique en termes de cryptage/décryptage des données pour son implémentation dans un montage optique innovant. L’objectif de ces travaux est de réaliser un système optique de chiffrement sur la base d'exploitation de transformation optique et de générateurs chaotiques. L'idée originale des travaux consiste à exploiter la non-linéarité des systèmes chaotiques comme clés de chiffrement pour les systèmes optiques de chiffrement d'images multispectrales. Dans ces travaux de thèse, nous avons proposés et évalués plusieurs chiffrements d'images à base d’un système hyperchaotique et de transformées optiques (gyrator, Fourier, Baker , Arnold et Gerchberg- Saxton) à partir d’un processus de cryptage reposant sur une décomposition composants RVB et un encodage dans un flux dimensionnel d’images couleurs. L'originalité des solutions de chiffrement adoptée reposent sur l'exploitation de signaux réellement aléatoires à travers la mise en œuvre de générateurs hyperchaotiques pour la génération de données aléatoires sous forme images comme base de matrices de clés de chiffrement. En effet, ces générateurs présentent des propriétés et des caractéristiques fondamentales en termes de cryptage car il présente une non-linéarité, une imprédictibilité et une extrême sensibilité aux conditions initiales les rendant très intéressantes pour le développement de clés de chiffrement par flot. L’algorithme mis en œuvre permet d'extraire en temps réel les caractéristiques de texture dans les différentes bandes spectrales d'images en vue d’évaluer et de détecter les teneurs potentielles en information et dont les transmissions doivent être sécurisée via une transmission optique
Optical information security is one of the most important research directions in information science and technology, especially in the field of copyright protection, confidential information transmission/storage and military remote sensing. Since double random phase encoding technology (DRPE) was proposed, optical image encryption technology has become the main topic of optical information security and it has been developed and studied deeply. Optical encryption techniques offer the possibility of high-speed parallel processing of two dimension image data and hiding information in many different dimensions. In this context, much significant research and investigation on optical image encryption have been presented based on DRPE or further optical operation, such as digital holography, Fresnel transform, gyrator transform. Simultaneously, the encrypted image has been extended from single gray image to double image, color image and multi-image. However, the hyperspectral image, as a significant element in military and commercial remote sensing, has not been deeply researched in optical encryption area until now. This work extends the optical encryption technology from color image to hyperspectral image. For better comprehension of hyperspectral image encryption, this work begins with the introduction and analysis of the characteristics of hyperspectral cube. Subsequently, several kinds of encryption schemes for color image, including symmetric and asymmetric cryptosystem, are presented individually. Furthermore, the optical encryption algorithms for hyperspectral cube are designed for securing both the spatial and spectral information simultaneously. Some numerical simulations are given to validate the performance of the proposed encryption schemes. The corresponding attack experiment results demonstrate the capability and robustness of the approaches designed in this work. The research in this dissertation provides reference for the further practicality of hyperspectral image encryption
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Gade, Sandeep. "Design and Implementation of Hybrid Hyperchaotic Sequences for Chaos-Based Communication Systems." Thesis, California State University, Long Beach, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10638629.

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Chaos-based communication piqued interest of several researchers due to the aperiodic and low cross-correlated waveforms used for modulation at the transmitter. Because of their wideband nature, they were first used as spreading sequences in traditional spread-spectrum communication systems. Later, these techniques were followed by coherent and noncoherent schemes. Noncoherent schemes unlike coherent schemes do not require chaos synchronization.

Through the years, many methods have been proposed in this category. However, increasing data rates in these schemes posed a challenge. Therefore, multidimensional signaling schemes were proposed. Orthogonal chaotic vector shift keying is one such multidimensional signaling scheme proposed by Wren and Yang. However, the chaotic system which was used to generate signaling basis in their scheme was the Lorenz system. This system forms a weak signaling basis due to the pseudo-repetitive behavior of its chaotic waveforms. Hence, the bit error rate performance of this communication scheme deteriorates in higher dimensions. In this thesis, we design and implement a hybrid hyperchaotic sequence generator for improving the performance of the orthogonal chaotic vector shift keying for higher dimensions. The analysis in this thesis is performed through computer simulations.

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Chen, Hang. "Optical Encryption Techniques for Color Image and Hyperspectral Data." Electronic Thesis or Diss., Université de Lorraine, 2017. http://www.theses.fr/2017LORR0374.

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La sécurité est un problème important dans la transmission et le stockage de l'image, tandis que le cryptage est un moyen d'assurer la sécurité qui est requise dans de nombreuses applications (télévision par câble, la communication d'images militaires, systèmes d'imagerie confidentielle, etc.). Toutefois, à l'instar du message texte, les données images présentent des caractéristiques spéciales telles que la haute capacité, la redondance et la haute corrélation entre les pixels, et nécessite souvent une transmission et des traitements temps réel pour certaines applications. Construire un système rapide et efficace de cryptographie d'images suscite un intérêt considérable. C'est dans ce contexte qu’ont été menés ces travaux thèse qui portent sur l’élaboration d’un corrélateur optique en termes de cryptage/décryptage des données pour son implémentation dans un montage optique innovant. L’objectif de ces travaux est de réaliser un système optique de chiffrement sur la base d'exploitation de transformation optique et de générateurs chaotiques. L'idée originale des travaux consiste à exploiter la non-linéarité des systèmes chaotiques comme clés de chiffrement pour les systèmes optiques de chiffrement d'images multispectrales. Dans ces travaux de thèse, nous avons proposés et évalués plusieurs chiffrements d'images à base d’un système hyperchaotique et de transformées optiques (gyrator, Fourier, Baker , Arnold et Gerchberg- Saxton) à partir d’un processus de cryptage reposant sur une décomposition composants RVB et un encodage dans un flux dimensionnel d’images couleurs. L'originalité des solutions de chiffrement adoptée reposent sur l'exploitation de signaux réellement aléatoires à travers la mise en œuvre de générateurs hyperchaotiques pour la génération de données aléatoires sous forme images comme base de matrices de clés de chiffrement. En effet, ces générateurs présentent des propriétés et des caractéristiques fondamentales en termes de cryptage car il présente une non-linéarité, une imprédictibilité et une extrême sensibilité aux conditions initiales les rendant très intéressantes pour le développement de clés de chiffrement par flot. L’algorithme mis en œuvre permet d'extraire en temps réel les caractéristiques de texture dans les différentes bandes spectrales d'images en vue d’évaluer et de détecter les teneurs potentielles en information et dont les transmissions doivent être sécurisée via une transmission optique
Optical information security is one of the most important research directions in information science and technology, especially in the field of copyright protection, confidential information transmission/storage and military remote sensing. Since double random phase encoding technology (DRPE) was proposed, optical image encryption technology has become the main topic of optical information security and it has been developed and studied deeply. Optical encryption techniques offer the possibility of high-speed parallel processing of two dimension image data and hiding information in many different dimensions. In this context, much significant research and investigation on optical image encryption have been presented based on DRPE or further optical operation, such as digital holography, Fresnel transform, gyrator transform. Simultaneously, the encrypted image has been extended from single gray image to double image, color image and multi-image. However, the hyperspectral image, as a significant element in military and commercial remote sensing, has not been deeply researched in optical encryption area until now. This work extends the optical encryption technology from color image to hyperspectral image. For better comprehension of hyperspectral image encryption, this work begins with the introduction and analysis of the characteristics of hyperspectral cube. Subsequently, several kinds of encryption schemes for color image, including symmetric and asymmetric cryptosystem, are presented individually. Furthermore, the optical encryption algorithms for hyperspectral cube are designed for securing both the spatial and spectral information simultaneously. Some numerical simulations are given to validate the performance of the proposed encryption schemes. The corresponding attack experiment results demonstrate the capability and robustness of the approaches designed in this work. The research in this dissertation provides reference for the further practicality of hyperspectral image encryption
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4

LIANG, WEI-LUN, and 梁偉倫. "Circuit Implementation of a New Unified Hyperchaotic System and Synchronization Control for Unified Drive-Response Hyperchaotic Systems." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/66947928156923981051.

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碩士
國立高雄應用科技大學
機械工程系
105
Based on the four-dimensional unified hyperchaotic system in this thesis, a new unified hyperchaotic system is constructed to facilitate the realization of the electric circuit. The chaotic phenomena are analyzed by using numerical methods such as phase diagram, bifurcation diagram, Lyapunov exponent and power spectrum. Firstly, the system circuit is implemented on the circuit board. An adaptive and an adaptive sliding mode controllers are then developed for unified drive and response hyperchaotic systems with unknown system parameters, different initial values, and external disturbance problems to achieve the synchronization control goal. In this thesis, the stability of the controlled chaotic system is proved by Lyapunov stability theorem. Finally, we use MATLAB, LabVIEW and NI DAQ capture card to construct the chaotic system and to give the experimental results. From the experimental results, it is shown that the effectiveness and feasibility of the proposed control methods can achieve the synchronization control performance very well.
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Sibiya, Abram Hlophane. "Numerical methods for a four dimensional hyperchaotic system with applications." Diss., 2019. http://hdl.handle.net/10500/26398.

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This study seeks to develop a method that generalises the use of Adams-Bashforth to solve or treat partial differential equations with local and non-local differentiation by deriving a two-step Adams-Bashforth numerical scheme in Laplace space. The resulting solution is then transformed back into the real space by using the inverse Laplace transform. This is a powerful numerical algorithm for fractional order derivative. The error analysis for the method is studied and presented. The numerical simulations of the method as applied to the four-dimensional model, Caputo-Lu-Chen model and the wave equation are presented. In the analysis, the bifurcation dynamics are discussed and the periodic doubling processes that eventually caused chaotic behaviour (butterfly attractor) are shown. The related graphical simulations that show the existence of fractal structure that is characterised by chaos and usually called strange attractors are provided. For the Caputo-Lu-Chen model, graphical simulations have been realised in both integer and fractional derivative orders.
Mathematical Sciences
M. Sc. (Applied Mathematics)
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陳鈞璞. "The circuit realization and nonlinear analysis of phase synchronization between four-scroll hyperchaotic system and external force." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/87570092921087373706.

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碩士
高雄師範大學
物理學系
99
In this paper, we present a four-scroll chaotic and hyper-chaotic system and analyze its characteristics in both numerical simulation and circuit realization. We study the synchronization between the signal of the system and the external periodical signal with the Mean phase coherence and the Statistical phase synchrony. Thus in the relational graph of the driven signal strength, the frequency and the phase synchronal strength, we are able to find the patterns of the Arnold tongue.
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Tang, Chiang Cheng, and 江正塘. "Hyperchaotic Cryptography systems based on Adaptive Observer." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/61064884175768777924.

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碩士
國立雲林科技大學
電機工程技術研究所
88
The thesis is mainly concerned with the secure communication systems and three subject are studied. In the first part, we emphasize on the so-called synchronization. By the Lyapunov stability theorem, we designed a state feedback gain to guarantee the synchronization for the master-slave chaotic systems. On the second part, the concept of adaptive observer is considered to design an adaptive control law for the unknown parameter or parameter with uncertainty for the chaotic system. So that the master-slave systems can be achieved the so-called adaptive algorithm synchronization. In the design procedure of the adaptive law, is well known speed-gradient algorithm is applied to derive a set of direct adaptive controller that guarantees the achievement of the adaptive synchronization. From the first and second part, low security is obvious in the communica -tion for master-slave systems by the chaotic circuit. It is due that an adaptive observer by only one of the state variable. How to exchange the security of master-slave chaotic system is a subject in the three part of the thesis. A novel scheme of hyperchaotic cryptographic system based on adaptive observer is presented. In the scheme, adaptive synchronization and cryptograph are combined to achieve a high secure communication by using the adaptive direct control from the two part in the thesis. Finally, some numerical simulation are give to demonstrate the efficiency of the proposed scheme.
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Yu-Kai, Lin, and 林于凱. "Synchronization and anti-synchronization coexist in chaotic and hyperchaotic Chen–Lee systems." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/22728532070283828677.

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碩士
中華大學
機械與航太工程研究所
95
In this thesis, a new type of synchronization of chaos was presented. For some chaotic systems, synchronization and anti-synchronization can coexist in chaotic systems. This new type of synchronization is called “hybrid synchronization”. This study demonstrates that synchronization and anti-synchronization can coexist in the Chen-Lee chaotic systems by direct linear coupling. Based on the Lyapunov’s direct method, a linear controller was designed to assure coexistence of two different types of synchronization. In additions, the hybrid projective synchronizations of the chaotic and hyperchaotic Chen-Lee systems were also studied by using nonlinear control scheme. By utilizing the Lyapunov stability theory, the nonlinear controller was designed to guarantee the hybrid projective synchronization, which includes synchronization, anti-synchronization, and projective synchronization. Numerical examples were presented to validate the proposed approach. Finally, the dynamic behaviors of hyperchaotic Chen-Lee system with various fractional orders were investigated. It was found that the fractional orders play an important role on system’s dynamics. Results of this study show that coexistences of synchronization, anti-synchronization and the projective synchronization are attainable. Besides, complicated chaotic phenomena do occur in the fractional-order system. Keyword：Chen-Lee system, chaos synchronization, Lyapunov’s direct method, hyperchaotic system
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Lin, Yu-Chen, and 林育丞. "Nonlinear Observer Design of the Generalized Rössler Hyperchaotic Systems via DIL Methodology." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/15135509892744674263.

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碩士
義守大學
電機工程學系
101
In this thesis, the generalized Rössler hyperchaotic systems are proposed and the state observation problem of such systems is studied. Using the differential inequality with Lyapunov methodology (DIL methodology), a nonlinear observer design for the generalized Rössler hyperchaotic systems is established to guarantee the global exponential stability of the resulting error system. Moreover, the guaranteed exponential decay rate can be accurately estimated. Finally, numerical simulations are offered to illustrate the feasibility and effectiveness of proposed approach.
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Book chapters on the topic "Hyperchaotic system"

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Wei, Yi-qiang, and Nan Jiang. "Synchronization of Hyperchaotic Rossler System and Hyperchaotic Lorenz System with Different Structure." In Web Information Systems and Mining, 147–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23982-3_19.

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Yan, Yan, and Longge Zhang. "Nonlinear Synchronization of New Hyperchaotic System." In Advances in Intelligent and Soft Computing, 409–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29390-0_65.

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Chen, Hang, Zhengjun Liu, Feifei Liu, Camel Tanougast, and Walter Blondel. "Optical Cryptosystem Using Chaotic/Hyperchaotic System." In Multimedia Security Using Chaotic Maps: Principles and Methodologies, 53–79. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38700-6_3.

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Tang, Liangrui, Lin Zhao, and Qin Zhang. "A Novel Four-Dimensional Hyperchaotic System." In Communications in Computer and Information Science, 392–401. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23235-0_51.

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Zhang, Ruochen, and Yan Zhao. "Hyperchaotic Attractors Generated from Nadolschi Chaotic System." In Communications in Computer and Information Science, 437–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23235-0_56.

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Joshi, Manoj, Vivek Bhatt, and Ashish Ranjan. "Realization of Higher-Order Hyperchaotic Jerk System." In Algorithms for Intelligent Systems, 181–90. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6307-6_19.

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Khan, Ayub, Shikha Singh, and Ahmad Taher Azar. "Synchronization between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control." In Advances in Intelligent Systems and Computing, 382–91. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14118-9_38.

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Yu, Jinchen, and Caiyan Zhang. "Hybrid Projective Synchronization of a New Hyperchaotic System." In Lecture Notes in Electrical Engineering, 385–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38524-7_42.

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Fu, Chong, Ming Tie, Jian-lin Wang, Shao-ting Chen, and Hui-yan Jiang. "A New Image Encryption Scheme Using a Hyperchaotic System." In Security, Privacy, and Anonymity in Computation, Communication, and Storage, 392–405. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49148-6_33.

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Vaidyanathan, Sundarapandian. "A Novel Highly Hyperchaotic System and Its Adaptive Control." In Advances and Applications in Chaotic Systems, 513–35. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30279-9_22.

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Conference papers on the topic "Hyperchaotic system"

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Zeng, Yezhan. "A New Hyperchaotic Liu System." In 2011 International Conference on Information Technology, Computer Engineering and Management Sciences (ICM). IEEE, 2011. http://dx.doi.org/10.1109/icm.2011.105.

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Torkamani, Shahab, Eric A. Butcher, Michael D. Todd, and Gyuhae Park. "Damage Assessment Using Hyperchaotic Excitation and State-Space Geometry Changes." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3705.

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Abstract:
The current study explores the use of a steady-state hyperchaotic signal to probe a system for state-space geometry changes used for structural health monitoring applications. This is an extension of a previous chaotic interrogation technique approach that exploited the intrinsic high sensitivity of chaotic systems to subtle changes of the parameters. The enhanced technique proposed in this paper explores a novel structural excitation, namely a hyperchaotic excitation, which exhibits a chaotic behavior wherein at least two Lyapunov exponents are positive due to stretching of the phase space in multiple directions. A feature called average local attractor variance ratio (ALAVR), which is based on attractor geometry, is used to compare the geometry of a baseline attractor to a test attractor. The enhanced technique is applied to analytically and experimentally analyze the response of an 8-degree-of-freedom system to the hyperchaotic excitation for the sake of damage assessment. A comparison between the results obtained from current hyperchaotic excitation vs. a chaotic excitation highlights the higher sensitivity of the hyperchaotic excitation. Thus, hyperchaotic interrogation can be used as an alternative damage assessment technique when increased sensitivity to small amounts of damage is required.
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Xu, Mei-Jin, Yan Zhao, Xi-Chang Han, and Yu-Yan Zhang. "Generalized asymptotic synchronization between Chen hyperchaotic system and Liu hyperchaotic system: A fuzzy modeling method." In 2009 Chinese Control and Decision Conference (CCDC). IEEE, 2009. http://dx.doi.org/10.1109/ccdc.2009.5195081.

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Aixue Qi, Zhaojie Pang, and Guangyi Wang. "Dynamical analysis of memristor hyperchaotic system." In 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC). IEEE, 2011. http://dx.doi.org/10.1109/aimsec.2011.6010029.

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Guan jun Jia and Qun-h Zhang. "Impulsive synchronization of hyperchaotic Chen system." In 2008 Chinese Control and Decision Conference (CCDC). IEEE, 2008. http://dx.doi.org/10.1109/ccdc.2008.4598005.

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Li, Yuxia, Wenqing Chi, and Xia Huang. "A New Memristor Based Hyperchaotic System." In 2012 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2012. http://dx.doi.org/10.1109/iwcfta.2012.37.

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Mahmoud, G. M., M. E. Ahmed, and E. E. Mahmoud. "On the Hyperchaotic Complex Lü System." In Topics on Chaotic Systems - Selected Papers from CHAOS 2008 International Conference. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814271349_0026.

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Khan, Ayub, Shikha Singh, Ahmad Taher Azar, and Quanmin Zhu. "Synchronization Between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control." In 2018 10th International Conference on Modelling, Identification and Control (ICMIC). IEEE, 2018. http://dx.doi.org/10.1109/icmic.2018.8529895.

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Li, Yuxia, Xuezhen Liu, Dandan Zhao, and Yongchao Cao. "Synchronization of a New Hyperchaotic Lorenz System." In 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2008. http://dx.doi.org/10.1109/icicta.2008.383.

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Jinqiu, Lin, and Si Xica. "Image Encryption Algorithm Based on Hyperchaotic System." In 2009 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2009. http://dx.doi.org/10.1109/iwcfta.2009.39.

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