共查询到20条相似文献,搜索用时 31 毫秒
1.
n-scroll chaos generators: a simple circuit model 总被引:4,自引:0,他引:4
n-scroll attractors which are generated from a generalised and simple circuit model are presented. The nonlinear characteristics can be systematically designed by adding comparators. A 5-scroll attractor circuit realisation is shown, which has been experimentally verified using current feedback opamps 相似文献
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混沌吸引子的产生是将混沌信号应用于加密领域的基础。文中在双涡卷Jerk混沌吸引子的基础上,利用阶梯波函数构造产生出多涡卷Jerk混沌吸引子,分析了多涡卷Jerk混沌吸引子的产生机理,并根据无量纲状态方程,分别设计了6-涡卷和7-涡卷混沌吸引子仿真电路。利用EWB电路仿真软件进行了仿真验证,仿真结果与数学分析结果一致,证明了多涡卷Jerk系统的存在。 相似文献
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《Electronics letters》2003,39(23):8
A new circuit design for generating n-scroll chaotic oscillators using a linear second-order unstable system with double-hysteresis series is proposed. The hysteresis series is realised by building blocks. With this proposed scheme, the n-scroll chaotic attractors can be easily generated along the directions of the system state variables 相似文献
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提出利用符号函数产生3涡卷混沌吸引子的方法,进行基本的混沌动力学分析,给出最大李雅普诺夫指数、功率谱、庞加莱映射,并基于李雅普诺夫稳定性理论,研究了两个3涡卷混沌吸引子的单向耦合同步的问题,给出3涡卷混沌吸引子产生及其同步的数值模拟结果. 相似文献
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Based on the framework of Colpitts oscillator, a four-dimensional multi-scroll hyperchaotic system is proposed, which generates
(2M+1)×(2N+1)-scroll chaotic and hyperchaotic attractors. The key strategy is to increase the number of index-2 equilibrium points by
introducing two unit saw-tooth functions to extend and modify the Colpitts oscillator model. By using bifurcation diagram
and phase portrait, the dynamical characteristics of the multi-scroll hyperchaotic system are briefly studied. Moreover, micro-controller
based circuit realization is introduced and the experimental results demonstrate that 7×5-scroll chaotic and hyperchaotic
attractors can be obtained in the digital circuit. 相似文献
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Jinhu Lu Guanrong Chen Xinghuo Yu Leung H. 《IEEE transactions on circuits and systems. I, Regular papers》2004,51(12):2476-2490
This paper initiates a saturated function series approach for chaos generation. The systematic saturated function series methodology developed here can create multiscroll chaotic attractors from a three-dimensional (3D) linear autonomous system with a simple saturated function series controller, including one-directional n-scroll, two-directional n/spl times/m-grid scroll, and 3-D n/spl times/m/spl times/l-grid scroll chaotic attractors. The dynamical behaviors and chaos generation mechanism of multiscroll systems are further investigated by analyzing the system trajectories. In particular, a two-dimensional (2D) Poincare/spl acute/ return map is rigorously derived for verifying the chaotic behaviors of the double-scroll chaotic attractor, which is a basic generator of various multiscroll chaotic attractors investigated in the paper. 相似文献
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集成运算放大器是电子系统中最重要的模拟器件。它的应用主要分为线性应用和非线性应用。在非线性应用中,运算放大器构成的单门限电压比较器、迟滞比较器是构成矩形波、三角波和锯齿波等信号产生电路的核心模块。在此主要讨论利用Protues平台对集成运放的非线性应用设计及仿真。 相似文献
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根据经典蔡氏电路的数学模型,获得系统各个变量之间的运算关系,利用运算放大器、电阻、电容及二极管等元器件,完成非线性限幅函数的电路设计,实现无电感元件的等效蔡氏电路硬件实验图。结果表明,通过调试电路中电阻值,可以直接从示波器观测到蔡氏电路的三个运动变量,包括周期、单涡卷、双涡卷等运动行为的时序图和相位图。搭建的电路结构简单,学生实验时调试容易,并且由于电路中不含电感元件,实验过程中混沌吸引子的稳定性也明显得到了提高。 相似文献
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In this paper, a new method for generating multi-scroll chaotic attractors via constructing a compound hyperbolic tangent-cubic nonlinear function in canonical Chua’s circuit is presented. The basic dynamic characteristics of the system are analyzed, including equilibrium points, bifurcation diagrams, Lyapunov exponents, phase portraits, time-domain diagrams and attractive basins. What is surprising is that the proposed multi-scroll Chua’s circuit also exhibits rich dynamic behaviors like coexisting multiple attractors, transient period, intermittent chaos and offset boosting. In addition, we put forward the application of the system in chaotic image encryption, and analyzed some security performance evaluation indexes to show that the new Chua’s chaotic cipher system has high security and reliable encryption performance. Finally, the hardware design and experiments of the chaotic digital circuits and image encryption are carried out. Both numerical simulation and FPGA experimental results verify the feasibility and usability of the proposed new multi-scroll Chua’s system. 相似文献
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n-scroll chaos generator using nonlinear transconductor 总被引:1,自引:0,他引:1
A novel chaotic oscillator capable of generating n-scroll chaos by relying on a multiple-cycle nonlinear transconductor is reported. The function of this nonlinearity can be mathematically represented via smooth hyperbolic tangent functions and its implementation only requires properly-biased bipolar differential-pair cells. The structure of the proposed oscillator is much simpler than existing n-scroll chaos generators 相似文献
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为了研究忆阻开关电路的动力学行为,该文提出一种具有多吸引子共存现象的忆阻开关混沌电路。在该电路中存在多吸引子分岔,当系统中发生边界碰撞之后,系统中将产生不同的吸引子共存现象。其中包括单周期极限环与混沌吸引子共存,不同的混沌吸引子共存,对称的2周期极限环共存现象,以及对称的2周期极限环与5周期极限环共存现象等。该文通过相图、分岔图等数值仿真,分析了该电路的动力学行为,并利用PSIM电路仿真验证了其电路的可行性,对开关电路中多吸引子共存现象和混沌应用的研究具有重要意义。 相似文献
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Simin Yu Jinhu Lu Guanrong Chen 《IEEE transactions on circuits and systems. I, Regular papers》2007,54(9):2087-2098
This paper introduces a novel fourth-order double-torus chaotic circuit. Based on this basic circuit, a systematic theoretical design approach is proposed for generating 1-Dn torus, 2-D n times m-torus, 3-D n times m times I torus, and 4-D n times m times l times p torus chaotic attractors. This is the first autonomous circuit reported in the literature for generating multidirectional multi-torus (MDMT) chaotic attractors. The dynamical behaviors of these MDMT chaotic systems are further investigated, including equilibrium points, bifurcations, Lyapunov exponents, and Poincare maps. Theoretical analysis shows that the MDMT chaotic attractors can be generated by switching and displacing a basic linear circuit. Finally, a block circuit diagram is designed for hardware implementation of the MDMT chaotic attractors. This is also the first time in the literature to experimentally verify a maximal 1-D 20-torus, a maximal 2-D 5 times 5 torus, and a maximal 4-D 5 times 5 times 3 times 3 torus chaotic attractors. 相似文献
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基于单涡卷混沌Colpitts振荡器模型,提出了一种网格多涡卷混沌Colpitts振荡器模型。利用阶跃函数代替单涡卷混沌Colpitts振荡器模型中的非线性函数,以及增加一个饱和函数,构造了一个能产生网格多涡卷混沌吸引子的Colpitts振荡器模型。通过数值仿真与电路实验,验证了该网格多涡卷混沌Colpitts振荡器的可行性。 相似文献
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现有多涡卷吸引子混沌系统中引入的非线性函数多为阶梯函数、饱和函数、多逻辑电平脉冲函数等,从而系统的电路实现复杂度会随涡卷数量的增加而增大,致使其硬件实现变得较为困难。针对此问题,该文设计了Logistic电平脉冲函数,采用非自治的脉冲控制方法基于Lorenz系统构造了一个新的多涡卷混沌系统,对其进行了动力学特性分析和基于FPGA芯片的硬件实现,最后给出了系统在图像加密中的应用。分析结果表明,该文所设计系统的电路实现复杂度与涡卷数量无关,于是FPGA电路可在不改变RTL代码的情况下仅通过改变控制参数即可产生不同的多涡卷吸引子;与Lorenz系统相比,此多涡卷系统具有更多的敏感性参数,应用于图像加密时密钥空间更大,更能有效抵抗穷举攻击。 相似文献
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By coupling several strange attractors (i.e. unstable nonlinear loops, or nonlinear recursive finite difference equations), the hardware or software needed for generating variably coloured noise can be simplified. It is noteworthy that this noise tends to take on the ubiquitous excess low-frequency form, characteristic of nonlinear devices, as the number of attractors increases. 相似文献
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函数信号发生器的设计与仿真 总被引:1,自引:1,他引:0
针对经济欠发达的西部地区学校经费不足的特点,利用集成运算放大器LM301,设计出能产生正弦、三角、方波、梯形、锯齿波和尖顶波等多种波形的函数信号发生器,且通过仿真很好地得到了各种波形。该函数信号发生器能满足一般的实验及演示的需要,并且成本很低,操作简洁方便,具有一定的参考价值。 相似文献
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基于经典蔡氏混沌振荡电路,引入一种双曲余弦函数的新型磁控忆阻器模型,设计含有两个双曲余弦忆阻器的混沌电路系统,讨论了系统平衡点集面的稳定区间.选择不同的忆阻初始值进行数值仿真,通过分岔图与Lyapunov指数谱研究双曲忆阻混沌系统的多稳态特性.结果表明,含双曲函数的双忆阻混沌电路具有复杂的动力学行为,运动轨迹不仅依赖于电路参数,还受电路的初始状态影响,由此产生了不同拓扑结构的混沌吸引子与不同周期运动的多稳态隐藏吸引子共存现象. 相似文献