共查询到19条相似文献,搜索用时 125 毫秒
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在对一些已有的超混沌系统研究和分析的基础上,提出了一个新的四维自治的超混沌系统,这个超混沌系统是通过引入一个状态变量到一个三维自治混沌系统而生成的,它较已有的超混沌系统而言,不仅最大的Lyapunov指数要大一些,而且在参数变化时,呈现超混沌的参数范围也很大.在对该系统进行数值仿真和分形分析的同时,也通过模拟电路对其进行了验证,电路实验结果表明,在电路中分别呈现的周期、伪周期、混沌、超混沌特性与数值仿真中获得的结果是一致的.
关键词:
超混沌
分形分析
超混沌电路
Lyapunov指数 相似文献
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提出了一个新的四维自治超混沌系统,对其基本动力学特性进行了数值仿真和深入的研究.运用EWB软件对实现该超混沌系统的分数阶振荡器电路进行了仿真实验证实.
关键词:
分数阶超混沌系统
动力学行为
分数阶电路 相似文献
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为了产生复杂的混沌吸引子,构造了一个新的三维二次自治混沌系统.该系统含有三个参数,每一个方程含有一个非线性乘积项.利用理论推导、数值仿真、Lyapunov指数谱和分岔图对系统的基本动力学特性进行了分析.结果表明,该系统具有五个平衡点,因而与Lorenz,Rsslor,Chen、Lü等混沌系统是非拓扑等价的;当其参数满足一定条件时,系统是混沌的.与Lorenz等混沌系统相比,该系统具有更大的正Lyapunov指数,能够产生复杂的混沌吸引子和一些有趣的动力学行为.最后,设计了实现该系统的混沌电路,电路实验结
关键词:
三维二次自治系统
混沌
混沌吸引子
电路实现 相似文献
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参数共振微扰法是一种简单的非反馈混沌控制方法,它十分适合非自治系统的混沌控制.研究了这种方法在电流模式控制Boost变换器混沌控制中的应用,并通过对扰动相位进行优化 ,达到最优的混沌控制结果.同时对参数共振微扰法及其优化方法在Boost变换器混沌控制中的作用进行了理论分析,推导并计算了各种电路参数变化对有效的混沌控制所需的扰动的影响.
关键词:
Boost变换器
混沌
混沌控制
参数共振微扰法 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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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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We consider a simple nonautonomous dissipative nonlinear electronic circuit consisting of Chua's diode as the only nonlinear element, which exhibit a typical period doubling bifurcation route to chaotic oscillations. In this paper, we show that the effect of additional periodic pulses in this Murali-Lakshmanan-Chua (MLC) circuit results in novel multiple-period-doubling bifurcation behavior, prior to the onset of chaos, by using both numerical and some experimental simulations. In the chaotic regime, this circuit exhibits a rich variety of dynamical behavior including enlarged periodic windows, attractor crises, distinctly modified bifurcation structures, and so on. For certain types of periodic pulses, this circuit also admits transcritical bifurcations preceding the onset of multiple-period-doubling bifurcations. We have characterized our numerical simulation results by using Lyapunov exponents, correlation dimension, and power spectrum, which are found to be in good agreement with the experimental observations. Further controlling and synchronization of chaos in this periodically pulsed MLC circuit have been achieved by using suitable methods. We have also shown that the chaotic attractor becomes more complicated and their corresponding return maps are no longer simple for large n-periodic pulses. The above study also indicates that one can generate any desired n-period-doubling bifurcation behavior by applying n-periodic pulses to a chaotic system. 相似文献
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In this paper, an electric circuit to control the dynamic output of a semiconductor laser is introduced. The circuit controls chaos and instability of the laser output by changing its pumping current. The change of the current is also introduced by a nonlinear map. The most important element of this nonlinear map is a dynamical variable parameter. We have studied the dynamic behavior of the laser before and after applying the control using bifurcation curves and time series. We have shown that the laser output, in the intervals of the feedback phase and strength where it is chaotic, can be totally inverted to the quasi periodic (QP) and period one (P1) oscillation modes, by control method. 相似文献
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研究了一个新的简易混沌振荡电路系统的稳定性和混沌特性,从理论上推导了该混沌振荡电路系统的稳定和混沌的条件,并对该系统进行了精确反馈线性化控制.最后,通过电路仿真实验和硬件实验验证了理论分析的准确性. 相似文献
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Arena P Fortuna L Porto D 《Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics》2000,61(1):776-781
In this paper, a simple system showing chaotic behavior is introduced. It is based on the well-known concept of cellular neural networks (CNNs), which have already given good results in generating complex dynamics. The peculiarity of the CNN model consists in the fact that it replaces the traditional first-order cell with a noninteger-order one. The introduction of the fractional cell, with a suitable choice of the coupling parameters, leads to the onset of chaos in a simple two-cell system. A theoretical approach, based on the harmonic balance theory, has been used to investigate the existence of chaos. A circuit realization of the proposed fractional two-cell chaotic CNN is reported and the corresponding strange attractor is also shown. 相似文献
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Hayashi T 《Physical review letters》2000,84(15):3334-3337
We present results from numerical simulations on mixed-mode oscillations and chaos excited in a glow discharge, where a model of one-dimensional fluid equations coupled with an external circuit is used. Long duration of high ion and electron densities and fast recharge of a capacitor after a breakdown contribute to the generation of mixed-mode oscillations. The chaotic behavior is characterized by a one-dimensional multibranched map. 相似文献
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In recent years, the study of chaotic and complex phenomena in electronic circuits has been widely developed due to the increasing number of applications. In these studies, associated with the use of chaotic sequences, chaos is required to be robust (not occurring only in a set of zero measure and persistent to perturbations of the system). These properties are not easy to be proved, and numerical simulations are often used. In this work, we consider a simple electronic switching circuit, proposed as chaos generator. The object of our study is to determine the ranges of the parameters at which the dynamics are chaotic, rigorously proving that chaos is robust. This is obtained showing that the model can be studied via a two-dimensional piecewise smooth map in triangular form and associated with a one-dimensional piecewise linear map. The bifurcations in the parameter space are determined analytically. These are the border collision bifurcation curves, the degenerate flip bifurcations, which only are allowed to occur to destabilize the stable cycles, and the homoclinic bifurcations occurring in cyclical chaotic regions leading to chaos in 1-piece. 相似文献
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Chunbiao Li J. C. Sprott Wesley Thio 《Journal of Experimental and Theoretical Physics》2014,118(3):494-500
A hyperchaotic system with an infinite line of equilibrium points is described. A criterion is proposed for quantifying the hyperchaos, and the position in the three-dimensional parameter space where the hyperchaos is largest is determined. In the vicinity of this point, different dynamics are observed including periodicity, quasi-periodicity, chaos, and hyperchaos. Under some conditions, the system has a unique bistable behavior, characterized by a symmetric pair of coexisting limit cycles that undergo period doubling, forming a symmetric pair of strange attractors that merge into a single symmetric chaotic attractor that then becomes hyperchaotic. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions. 相似文献
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Najeeb Alam Khan Muhammad Ali Qureshi Tooba Hameed Saeed Akbar Saif Ullah 《理论物理通讯》2020,72(12):125004-70
In this paper, we propose an innovative chaotic system, combining fractional derivative and sine-hyperbolic nonlinearity with circuit execution. The study of this system is conducted via an analog circuit simulator, using two anti-parallel semiconductor diodes to provide hyperbolic sine nonlinearity, and to function as operational amplifiers. The multi-stability of the system is also enhanced with the help of multi-equilibrium points for distinct real orders of system. The system explores the generation of a four-wing attractor in different phases, both numerically and electronically. By changing the input parameters of the system, different graphs are generated for current flow in state, phase, and space, to confirm the precision of the fractional order derivatives. A reasonable simulation shows that the deliberate circuit provides effective chaos in terms of speed and accuracy, which is comensurate with the numerical simulation. This nonlinear chaotic behavior is utilized to encrypt sound (.wav), images (.jpg), and animated (.gif) data which are a major requirement for the security of communication systems. The proposed circuit performs chaos and cryptographic tasks with high-effective analog computation, and constitutes a novel approach to this area of research. 相似文献