一个新的五阶超混沌电路及其研究

提出一个新的五阶超混沌电路. 该电路由三个线性电感、两个线性电容、一个线性负电阻和二个非线性元件组成,并具有π形的电路结构. 其主要特征是,利用非线性元件的作用来切换电路中的时间常数,使其电压和电流发生急剧变化. 利用负电阻可满足电路局部发散的条件,并且这种电压和电流的急剧变化以及局部发散是该电路产生混沌与超混沌的两个前提条件. 分岔和李雅普诺夫指数计算结果表明,随着分岔参数的改变,电路的振荡机理由周期态演变为混沌态,再由混沌态演变为超混沌态. 设计了五阶超混沌电路,给出了硬件实验结果. 关键词： 超混沌电路 超混沌吸引子 电路实验     

一个混沌电路及其实验结果

给出了仅仅由几个运算放大器、电容和电阻组成的一个新混沌电路. 对混沌电路的状态方程进行计算表明，该系统具有一个正的李雅谱诺夫指数，数值计算得到了此系统的混沌吸引子. 同时，对此混沌系统进行了电路实现，得到了混沌电路的吸引子，结果表明，实验结果与数值计算结果完全符合. 最后，对该混沌电路中的两个可调电阻的变化对混沌电路的影响进行了研究，结果表明可调电阻在一定范围内变化时，电路仍然保持有基本相同的混沌输出. 关键词： 混沌电路 李雅谱诺夫指数 电路实验结果     

基于LabVIEW数据采集系统的混沌电路实验

应用LabVIEW软件构建了混沌电路, 并利用数据采集卡对实测混沌电路进行数据采集和处理. 该实验有利于学生从感性上认识了混沌现象,掌握混沌电路的基本原理和测量方法.     

蔡氏电路的研究与制作

在非线性电路中蔡氏电路是迄今为止产生复杂动力学行为的最为有效和较为简单的电路之一。从软件仿真和电路制作两个角度分别对蔡氏电路的特性进行了研究,讨论蔡氏电路的工作原理,分别用PSPICE和MATLAB软件仿真出蔡氏电路的相关特性,并制作出硬件电路,给出观察蔡氏电路周期1、周期2极限环及单涡卷和双涡卷混沌吸引子的实验结果,得出了与理论分析一致的结果。对进一步研究和设计专用混沌集成电路及混沌在保密通信中的应用具有积极的意义。     

Chen氏混沌电路实现与同步控制实验研究

对Chen氏混沌系统的电路实现作了进一步的研究，推导出切实可行的电路参数.在此基础上利用Electronic Workbench电路仿真软件进行了仿真实验，并搭建实现了实际的Chen氏电路，在示波器上观察到了Chen氏混沌系统的混沌波形.同时，利用单变量耦合反馈控制方法对两个Chen氏系统的同步控制进行了实验研究，给出了实现同步的电路参数调节范围. 关键词： 混沌系统 Chen氏混沌 同步控制 电路实现     

混沌系统的参数开关调制法研究

提出了参数开关调制控制混沌方法,通过对蔡氏电路中的电容参数进行开关调制,可把蔡氏电路由混沌状态控制到其平衡态和nP周期轨道.数值模拟和电路仿真的结果证实了本方法的有效性,丰富了蔡氏电路的工程应用方法.     

分段线性混沌电路的综合方法研究

本文研究了分段线性混沌电路的一种电路综合方法.首先根据电路系统的特征值参数,确定非线性元件参数和线性一端口电路的导纳.然后根据导纳函数确定与之对应的一端口电路形式.在电路综合过程中,本文采用两类基本导纳函数的并联形式实现一端口电路,可以始终使所用电感和电容为正值,所用负电阻共地,便于混沌电路的实现.最后给出了混沌系统电路综合的实例. 关键词： 混沌电路 综合 分段线性     

混沌系统的参数开关调制法研究

提出了参数开关调制控制混沌方法,通过对蔡氏电路中的电容参数进行开关调制,可把蔡氏电路由混沌状态控制到其平衡态和nP周期轨道.数值模拟和电路仿真的结果证实了本方法的有效性,丰富了蔡氏电路的工程应用方法     

变型蔡氏电路中混沌控制的实验研究

将变型蔡氏电路与线性二阶电路相耦合．进行线性二阶电路对变型蔡氏电路非反馈混沌控制的实验研究．实验结果表明：变型蔡氏电路比蔡氏电路具有更强的鲁棒性，更易实现混沌控制．     

分数阶临界混沌系统及电路实验的研究

研究了分数阶临界混沌系统，设计了其分数阶电路结构.通过计算机仿真分析和电路实验，证实了分数阶临界混沌系统的混沌动力学行为. 关键词： 分数阶 临界混沌系统 电路     

Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks

It is shown that hyperchaos of order m (i.e., with m positive Lyapunov exponents) can be generated by a single feedback circuit in n = 2m + 1 variables. This feedback circuit is constructed such that, dividing phase space into hypercubes, it changes sign wherever the trajectory passes from one hypercube into an adjacent one. Letting the negative diagonal elements in the Jacobian tend to zero, the dynamics becomes conservative. Instead of chaotic attractors, unbounded chaotic walks are then generated. Here we report chaotic walks emerging from a continuous system rather than the well known chaotic walks present in "Lorentz gas" and "couple map lattices."     

忆阻混沌电路的分析与实现

具有记忆功能的忆阻器是除电阻器、电容器和电感器之外的第四种基本二端电路元件. 提出了由φ-q平面上的一条三次单调上升的非线性曲线来确定的光滑磁控忆阻器,它有着斜"8"字形的类紧磁滞回线的伏安特性曲线. 采用此忆阻器和负电导构成的有源忆阻器替换蔡氏混沌电路中的蔡氏二极管,导出了一个基于忆阻器的混沌振荡电路. 此外,利用常规的运算放大器和乘法器等元器件给出了有源忆阻器的等效电路实现形式. 理论分析、数值仿真和电路仿真结果一致,均表明忆阻混沌电路的动力学行为依赖于忆阻器的初始状态,在不同初始状态下存在混沌振荡、周期振荡或稳定的汇等不同的运行轨道. 关键词： 忆阻器 混沌电路 初始状态 等效电路     

Chaotic synchronization in Hamiltonian systems

It is shown that Hamiltonian systems can exhibit the phenomenon of chaotic synchronization. Specific attention is paid to the standard map. Analytic synchronization conditions are derived and numerically verified for the standard map. We report on experimental studies of an analog electronic circuit realization of a "piecewise linear standard map." When coupled appropriately to a duplicate circuit, chaotic synchronization is observed. The relevance of this study to synchronization in other Hamiltonian systems is discussed.     

Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit

A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical circuit with the same topologies and circuit parameters. A memristor-based chaotic circuit and the corresponding Chua’s chaotic circuit with two output differentiators are taken as examples to illustrate this approach. Equivalent dynamical analysis and realization of the memristor-based chaotic circuit are performed by using Chua’s chaotic circuit. The results indicate that the outputs of memristor-based chaotic circuit and the corresponding outputs of Chua’s chaotic circuit have identical dynamics. The proposed approach verified by numerical simulations and experimental observations is useful in designing and analyzing memristor-based dynamical circuits.     

Hopf bifurcation analysis and circuit implementation for a novelfour-wing hyper-chaotic system

In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincare′ maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system.     

Implementation of a multi-scroll novel two-attractor grid chaotic system

This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.     

基于同相第二代电流传输器的网格多涡卷混沌电路研究

通过简化广义Jerk系统,构建了一个三维网格多涡卷混沌系统,利用同相第二代电流传输器(CCII+)设计并实现了该系统的模拟电路,将该电路与传统运放实现的混沌电路进行了对比,发现基于CCII+的混沌电路能在更高频段产生网格多涡卷吸引子,且电路结构更简单,使用器件更少,最后,通过示波器观测到了网格多涡卷混沌吸引子,验证了混沌电路的物理可实现性,电路实验结果与数值仿真结果一致。     

Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

In this paper, a practical equivalent circuit of an active flux-controlled memristor characterized by smooth piecewise-quadratic nonlinearity is designed and an experimental chaotic memristive circuit is implemented. The chaotic memristive circuit has an equilibrium set and its stability is dependent on the initial state of the memristor. The initial state-dependent and the circuit parameter-dependent dynamics of the chaotic memristive circuit are investigated via phase portraits, bifurcation diagrams and Lyapunov exponents. Both experimental and simulation results validate the proposed equivalent circuit realization of the active flux-controlled memristor.     

基于电流反馈放大器的网格多涡卷混沌电路设计与实现

提出了一种仅用电流反馈放大器实现网格多涡卷混沌系统的方法.首先用电流反馈放大器设计非线性函数电路;再用电流反馈放大器设计网格多涡卷混沌电路,根据混沌吸引子参数确定电路参数,由于电流反馈放大器具有较好的频率特性和端口特性,使该电路的工作频率高、电路结构简单、使用元件少;最后,通过电路仿真验证该方法的可行性.     

利用LC滤波器实现延迟混沌及控制的电路实验

以Logistic延迟混沌系统为例,介绍了延迟混沌电路的设计方法.利用LC低通滤波器具有良好群时延特性来实现延时,改变电路中的参量,可以观测到电路由倍周期分岔通向混沌的道路.同时将限幅法用于控制该混沌电路中,得到多个不同的周期轨道.