共查询到20条相似文献,搜索用时 15 毫秒
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通过对蔡氏电路的研究,提出了一种新的混沌系统,并对该系统的基本动力学特性进行了深入研究,得到该系统的Lyapunov指数和Lyapunov维数,给出了相图、Lyapunov指数谱、分岔图、Poincaré映射以及功率谱等.利用OrCAD-PSpice软件设计了该新混沌系统的振荡电路并进行了仿真实验.研究结果表明,该系统与蔡氏电路产生的混沌吸引子并不拓扑等价,且该系统的参数变化范围较大,最大Lyapunov指数接近1,数值仿真和电路系统实验仿真具有很好的一致性,证实了该系统的存在性和物理上可实现性.
关键词:
混沌系统
Lyapunov指数谱
分岔图
电路实现 相似文献
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Previous studies of on-off intermittency in continuum systems are generally in the synchronization of identical chaotic oscillators or in the nonlinear systems driven by the Duffing oscillator. In this paper, one-state on-off intermittency and two-state on-off intermittency are observed in two five-dimensional continuum systems, respectively. The systems have skew product structure in which a two-dimensional subsystem is driven by the well-known Lorenz chaotic system. Moreover, the phenomenon of intermingled basins is observed below the blowout bifurcation. The statistical properties of the intermittency in the systems are investigated. It is shown that the distribution of the laminar phase duration time follows a power law, and that of the burst phase amplitude shows a −1 power law, which coincide with the basic statistical characteristics of on-off intermittency. 相似文献
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提出了一种利用单电子晶体管与金属氧化物半导体的混合结构(SET-MOS)实现离散混沌系统的方法.研究了两个并联结构的单电子晶体管在电流源偏置下的传输特性,并建立其相应的S形分段线性函数模型.基于该模型实现了一维离散映射系统,分析了它的动力学特性,包括一维映射过程、分岔图和Lyapunov指数等.最后利用SET-MOS混合电路设计出该离散混沌系统的电子电路,验证了理论分析和实现方法的正确性.研究结果表明,该方法不仅可行,而且物理实现结构简单,利于集成.
关键词:
离散映射
Lyapunov指数
分岔
电路实现 相似文献
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提出了一种新的具有恒Lyapunov指数谱的三维混沌系统,该系统含有六个参数,其中一个方程含有一个非线性乘积项,一个方程含有平方项.通过理论推导、数值仿真、Lyapunov维数、Poincare截面图、Lyapunov指数谱和分岔图研究了系统的动力学特性,并分析了不同参数变化对系统动力学行为的影响,其中,平方项系统参数变化时,系统的Lyapunov指数谱保持恒定,输出信号中的两维信号的幅值与参数呈幂函数关系变化,其指数为-1/2,第三维信号的幅值保持在同样的数值区间.最后,设计了该混沌系统的硬件电路并运用Multisim软件对该电路进行仿真实验,证实了该混沌系统的可实现性.
关键词:
混沌系统
恒Lyapunov指数谱
Poincare截面图
混沌电路 相似文献
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提出了一个新的不同于Lorenz系统和Chen系统的三维连续自治混沌系统.该系统含有五个参数,其中两个方程中各含有一个非线性乘积项.通过理论推导、数值仿真、Lyapunov指数谱、分岔图、Lyapunov维数、Poincare截面图研究了系统的基本动力学特性,并分析了改变不同参数时系统动力学行为的变化.最后设计了硬件电路并运用电子工作平台Multisim软件对该电路进行仿真实验,证实了该混沌系统的可实现性.
关键词:
混沌系统
Lyapunov指数
Poincare截面图
电路仿真 相似文献
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分析了一个新的复杂的四维混沌系统的基本特性,该系统每个方程中包含一个三次交叉乘积项,共有9个平衡点,它们相对于原点和坐标轴具有完美的对称性,并且相对于线性特性和不变流形具有很好的相似性.描述了两个同时共存的对称双翼吸引子.最后,设计了一个模拟电路来实现这个新的四维混沌系统,表明数值仿真和电路实现具有很好的一致性,同时说明在应用上由于频率不同导致的仿真与物理实现之间的重要区别.
关键词:
四维混沌系统
Lyapunov 指数
共存双翼吸引子
电路实现 相似文献
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Based on the Lü system, a new chaotic system is constructed, which can generate
a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new
attractor when its parameters are chosen appropriately. The detailed dynamical
behaviours of this system are also investigated, including equilibria and stability,
bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit
diagram is designed for the verification of various attractors. 相似文献
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We evaluate the influence of temperature on the behavior of a three-phase clock-driven metal–oxide–semiconductor (MOS) chaotic circuit. The chaotic circuit consists of two nonlinear functions, a level shifter, and three sample and hold blocks. It is necessary to analyze a CMOS-based chaotic circuit with respect to variation in temperature for stability because the circuit is sensitive to the behavior of the circuit design parameters. The temperature dependence of the proposed chaotic circuit is investigated via the simulation program with integrated circuit emphasis (SPICE) using 0.6-μm CMOS process technology with a 5-V power supply and a 20-kHz clock frequency. The simulation results demonstrate the effects of temperature on the chaotic dynamics of the proposed chaotic circuit. The time series, frequency spectra, bifurcation phenomena, and Lyapunov exponent results are provided. 相似文献
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Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system 下载免费PDF全文
A new four-dimensional quadratic smooth autonomous chaotic
system is presented in this paper, which can exhibit periodic orbit
and chaos under the conditions on the system parameters.
Importantly, the system can generate one-, two-, three- and
four-scroll chaotic attractors with appropriate choices of
parameters. Interestingly, all the attractors are generated only by
changing a single parameter. The dynamic analysis approach in the
paper involves time series, phase portraits, Poincar\'{e} maps,
a bifurcation diagram, and Lyapunov exponents, to investigate some
basic dynamical behaviours of the proposed four-dimensional system. 相似文献
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提出了一个新的三维自治混沌系统,并对系统的基本动力学特性进行了深入研究, 得到系统的Lyapunov指数和维数,给出了系统数值仿真图、Poincaré 映射图、Lyapunov指数谱和分岔图, 重点分析了不同参数变化对系统动力学行为的影响.最后,设计了该混沌系统的硬件电路并运用Multisim软件 对该电路进行仿真实现,数值仿真和电路仿真证实了该混沌系统与以往发现的混沌系统并不拓朴等价, 是一个新的混沌系统. 相似文献
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A new method of predicting chaotic time series is presented based on a local Lyapunov exponent, by quantitatively measuring the exponential rate of separation or attraction of two infinitely close trajectories in state space. After reconstructing state space from one-dimensional chaotic time series, neighboring multiple-state vectors of the predicting point are selected to deduce the prediction formula by using the definition of the local Lyapunov exponent. Numerical simulations are carried out to test its effectiveness and verify its higher precision over two older methods. The effects of the number of referential state vectors and added noise on forecasting accuracy are also studied numerically. 相似文献
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基于单电子晶体管与金属氧化物半导体混合结构构造出一种一维离散混沌系统. 研究了单电子晶体管与金属氧化物半导体串联混合结构的电压传输特性,并建立了相应的N型分段线性函数模型. 基于该模型实现了一维离散映射系统,分析了它的一维映射过程、分岔图和Lyapunov指数谱等动力学特性. 最后利用单电子晶体管与金属氧化物半导体混合电路设计出该离散混沌系统的电路结构,仿真验证与理论分析一致. 研究结果表明,利用单电子晶体管与金属氧化物半导体混合结构设计的离散混沌电路不仅结构非常简单,功耗很低, 而且有利于混沌系统的集成和应用. 相似文献
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In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of the equilibrium point, a Poincar map, the bifurcation diagram, and the Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective. 相似文献
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In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of equilibrium point, Poincaré map, bifurcation diagram, and Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective. 相似文献