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hyperchaos behaviors and chaos synchronization of two unidirectional coupled simplified Lorenz systems

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Journal of Central South University 2014年第3期21卷 948-955页

作者：孙克辉汪艳王艳丽 School of Physics and Electronics Central South University School of Physics Science and Technology Xinjiang University

To design a hyperchaotic generator and apply chaos into secure communication, a linear unidirectional coupling control is applied to two identical simplified Lorenz systems. The dynamical evolution process of the coupled system is investigated with variations of the system parameter and coupling coefficients. Particularly, the influence of coupling strength on dynamics of the coupled system is analyzed in detail. The range of the coupling strength in which the coupled system can generate hyperchaos or realize synchronization is determined, including phase portraits, Lyapunov exponents, and Poincare section. And the critical value of the system parameter between hyperchaos and synchronization is also found with fixed coupled strength. In addition, abundant dynamical behaviors such as four-wing hyperchaotic, two-wing chaotic, single-wing coexisting attractors and periodic orbits are observed and chaos synchronization error curves are also drawn by varying system parameter c. Numerical simulations are implemented to verify the results of these investigations.

关键词： hyperchaos chaos synchronization coupling control simplified Lorenz system

A post-processing method for true random number generators based on hyperchaos with applications in audio-based generators

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Frontiers of Computer Science 2020年第6期14卷 85-95页

作者： Je Sen TEH Weijian TENG Azman SAMSUDIN Jiageng CHEN School of Computer Sciences Universiti Sains MalaysiaPenang 11800Malaysia School of Engineering and Technology INTI International College PenangPenang 11900Malaysia School of Computer Central China Normal UniversityWuhan 430079China

True random number generators(TRNG)are important counterparts to pseudorandom number generators(PRNG).especially for high security applications such as *** produce unpredictable,non-repeatablerandom ***,most TRNGs require specialized hardware to extract entropy from physical phenomena and tend to be slower than *** generators usually require post-processing algorithms to eliminate biases but in *** *** this paper.a newpost-processing method based on hyperchaos is proposed forsoftware-based TRNGs which not only eliminates statisticalbiases but also provides amplification in order to improve the performance of *** proposed method utilizes the inherent characteristics of chaos such as hypersensitivity to input shanugeri,diffusisn,and csnfusion sapabilities to ushievethese *** bits of a physical entropy source areused to perturb the parameters of a hyperchaotic map,which is then iterated to produce a set of random output *** de-pict the feasibility of the proposed post-processing *** is applied in designing TRNGs based on digital *** are analyzed to identify statistical defects in addition to forward and backward *** indicate that the proposed generators are able to produce secure true random sequences at a high throughput,which in turn reflects on the effectiveness of the proposed post-processing method.

关键词： audio chaos theory chaotic map entropy hyperchaos post-processing random number generator security

Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions

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Chinese Physics B 2011年第12期20卷 123-129页

作者：李日明冯玉玲姚治海范健 Department of Physics Science CollegeChangchun University of Science and Technology Department of Physics University of ScienceUnjong StrictPyongyangDPR Korea

This paper deals with dynamical behaviours in an array composed of two resistive-capacitive-inductive-shunted （RCL-shunted） Josephson junctions （RCLSJJs） and a shunted resistor. Numerical simulations show that periodic, chaotic and hyperchaotic states can coexist in this array. Moreover, a scheme for controlling hyperchaos in this array is presented by adjusting the external bias current. Numerical results confirm that this scheme can be effectively used to control hyperchaotic states in this array into stable periodic states, and different stable periodic states with different period numbers can be obtained by appropriately choosing the intensity of the external bias current.

关键词： hyperchaos controlling hyperchaos array of RCL-shunted Josephson junctions Lyapunov exponent

Mid-infrared hyperchaos of interband cascade lasers

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Light(Science & Applications) 2022年第1期11卷 69-78页

作者： Yu Deng Zhuo-Fei Fan Bin-Bin Zhao Xing-Guang Wang Shiyuan Zhao Jiagui Wu Frédéric Grillot Cheng Wang School of Information Science and Technology ShanghaiTech UniversityShanghai 201210China LTCI Institut Polytechnique de ParisTélécom Paris19 place Marguerite Perey91120 PalaiseauFrance School of Physical Science and Technology Southwest UniversityChongqing 400715China Center for High Technology Materials University of New-Mexico1313 Goddard St SEAlbuquerqueNM 87106USA Shanghai Engineering Research Center of Energy Efficient and Custom AI IC ShanghaiTech UniversityShanghai 201210China

Chaos in nonlinear dynamical systems is featured with irregular appearance and with high sensitivity to initial ***-infrared light chaos based on semiconductor lasers has been extensively studied and has enabled various ***,we report a fully-developed hyperchaos in the mid-infrared regime,which is produced from interband cascade lasers subject to the external optical *** spectrum analysis demonstrates that the chaos exhibits three positive Lyapunov ***,the chaotic signal covers a broad frequency range up to the GHz level,which is two to three orders of magnitude broader than existed mid-infrared chaos *** interband cascade lasers produce either periodic oscillations or low-frequency fluctuations before bifurcating to *** hyperchaos source is valuable for developing long-reach secure optical communication links and remote chaotic Lidar systems,taking advantage of the high-transmission windows of the atmosphere in the mid-infrared regime.

关键词： chaos chaotic hyperchaos

A memristive map with coexisting chaos and hyperchaos

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Chinese Physics B 2021年第11期30卷 286-296页

作者： Sixiao Kong Chunbiao Li Shaobo He Serdar C¸ic¸ek Qiang Lai Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology(CICAEET) Nanjing University of Information Science&TechnologyNanjing 210044China School of Artificial Intelligence Nanjing University of Information Science&TechnologyNanjing 210044China School of Physics and Electronics Central South UniversityChangsha 410083China Department of Electronic&Automation Vocational School of Hacıbektas¸Nevs¸ehir HacıBektas¸Veli UniversityHacıbektas¸50800Nevs¸ehirTurkey School of Electrical and Automation Engineering East China Jiaotong UniversityNanchang 330013China

By introducing a discrete memristor and periodic sinusoidal functions,a two-dimensional map with coexisting chaos and hyperchaos is *** coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are firstly found in this discrete map,along with which other regimes of coexistence such as coexisting chaos,quasiperiodic oscillation,and discrete periodic points are also *** hyperchaotic attractors can be flexibly controlled to be unipolar or bipolar by newly embedded constants meanwhile the amplitude can also be controlled in combination with those coexisting *** on the nonlinear auto-regressive model with exogenous inputs(NARX)for neural network,the dynamics of the memristive map is well predicted,which provides a potential passage in artificial intelligencebased applications.

关键词： memristor hyperchaos coexisting attractors amplitude control neural network

Simulation study on hyperchaos analysis of reforming system based on single-ring erbium-doped fiber laser

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The Journal of China Universities of Posts and Telecommunications 2013年第5期20卷 117-121页

作者： PU Xin TIAN Xiao-jian ZHAI Hong-yi QIAO Liang LIU Chun-yan CUI Yan-qun College of Electronic Science and Engineering Jilin University College of Optical and Electronical Information Changchun University of Science and Technology

A reforming dynamic system based on the single-ring erbium-doped fiber laser is proposed in this paper. The reforming system has larger Lyapunov exponent and better pseudorandom characteristics according to the simula... 详细信息

关键词： erbium-doped fiber laser hyperchaos reforming system

ON PROPERTIES OF hyperchaos: CASE STUDY

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Acta Mechanica Sinica 1999年第4期15卷 366-370页

作者：刘曾荣陈立群杨凌 LNM The Institute of Mechanics Academia Sinica Beijing China 100080 Dept. of Math. Shanghai University Shanghai China 201800 Dept. of Mech. Shanghai University Shanghai China 201800 LNM The Institute of Mechanics Academia Sinica Beijing China 100080 Dept. Of Math. Shanghai University Shanghai China 201800

Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems.

关键词： hyperchaos strange attractor unstable periodic point pattern formation

hyperchaos evolved from the Liu chaotic system

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Chinese Physics B 2006年第5期15卷 963-968页

作者：王发强刘崇新 Institute of Electrical Engineering Xi'an Jiaotong University Xi'an 710049 China

This paper introduces a new hyperchaotic system by adding an additional state into the third-order Liu chaotic system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal dimension and the hyperchaotic attractor evolving into chaotic, periodic, quasi-periodic dynamical behaviours by varying parameter d are studied briefly. Various attractors are illustrated not only by computer simulation but also by conducting an electronic circuit experiment.

关键词： hyperchaos circuit implementation Liu chaotic system

Synchronizing hyperchaos by Drive-Feedback Control

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Chinese journal of nuclear physics 1996年第4期18卷 244-245页

作者： Fang Jinqing Fang Qing~② China Institule of Atomic Energy,P.O.Box 275-27,Beijing 102413 Beijing Institute of Television Research,Beijing 100031 中国原子能科学院北京

Lai and Grebogi demonstrated that by combining the Pecora-Carrool(drive-response)scheme(PISS)with the variable feedback synchronization(VFS),it is possible to synchronize two nearlyidentical hyperchaotic *** is called the drive-feedback synchronization(DFS).In thismethod,the feedback control is directly proportional to the difference of dynamical variable fromtwo hyperchaotie systems,and is applied to one of the *** in Lai and Grebogi’s work

关键词： —Drive-feedback control Rossler system hyperchaos