一种单输入控制器下的忆阻混沌同步电路设计与实现

该文提出一种在单输入控制器下基于忆阻器的混沌同步模拟电路设计及其实现方法,并将它应用于基于忆阻混沌同步的保密通信.首先,基于混沌同步理论,构建了混沌同步系统及保密通信模型,并设计实现了一种4阶压控忆阻混沌电路和混沌加密解密电路.其次,将所设计的忆阻混沌电路作为混沌驱动和响应电路,根据它们的误差系统设计了一种单输入混沌同...     

一个磁控忆阻器混沌电路及其FPGA实现

忆阻器是一种新的电路元件.为研究忆阻器混沌的基本特性和实现方法,对一种三次光滑特性忆阻器混沌电路的基本动力学特性进行了深入分析,包括平衡点集及其稳定性,暂态混沌及其状态转移,提出了一种克服暂态混沌从而产生稳定混沌的方法,并基于FPGA研究了忆阻器混沌的数字化实现问题,获得了预期的实验结果.     

一种改进型蔡氏电路的Pspice仿真研究*

介绍了一种四阶改进型蔡氏电路.首先建立了电路的数学模型,通过PSPICE软件研究了改进电路的混沌特性,然后采用驱动响应法实现了电路的混沌同步,最后通过仿真实验实现了此电路在保密通信中的应用.结论证明此电路产生的混沌信号比原蔡氏电路更加复杂,且通过改变RC并联电路参数即可很容易得到不同的混沌信号,因而更适用于混沌保密通信.     

整数阶Jerk混沌吸引子及其实现

以整数阶Jerk系统为例,提出了一种基于DSP Builder和FPGA的数字离散混沌系统解决方法.同时设计了相应的模拟硬件电路,并分别给出了硬件实验结果.实验结果表明,利用产生的实验结果与模拟电路产生的结果基本一致,证实了该方法的可行性,这为混沌系统的数字实现提供了新的思路.     

二维混沌信号产生器的设计

混沌电路设计是混沌通信和混沌加密等应用的先决条件,因此混沌电路的理论研究和设计具有十分重要的意义.本文提出混沌电路的一种新的设计方法,可以在二维空间中简单灵活的设计构造出一类混沌系统.该方法的最大优点是:采用模块化设计思路,混沌吸引子的形状可以根据实际需要来设计,易于电路和集成电路实现.     

一个奇妙的四维混沌吸引子及其电路实现

为了获得复杂的混沌信号源,给出了一个新的四维混沌系统及其相应的实现电路,其全部混沌吸引子类似于阿拉伯数字"8";系统的MATLAB仿真结果与所设计电路的MULTISIM仿真结果完全一致.不仅为混沌加密通信提供了新的信号源,而且特殊形状的混沌吸引子也将为混沌研究提出一个新的课题.     

基于Chua电路混沌同步自保持特性的研究

本文介绍了Chua电路及其特性，给出实现非线性电阻的一种电路；利用Chua电路构造出一种驱动-响应混沌同步系统，利用仿真得出此同步系统具有一定鲁捧性，抗干扰等特性；根据此同步系统，仿真发现混沌同步具有自保持特性，并给出仿真结果，这一发现为混沌在保密通信的实际应用提供了依据．     

分数阶混沌系统的DSP Builder设计方法

为了克服模拟电路分数阶混沌系统设计易受外界条件影响,提出了一种基于DSP Builder设计分数阶混沌系统的方法.以分数阶Jerk系统为例,采用一种数字差分算法设计混沌系统,分析了分数阶混沌系统的动力学特性.仿真结果表明,分数阶混沌系统的DSP Builder设计方法是一种有效的分析方法,这为分数阶混沌系统的数字设计提供了新的思路.     

一种新的混沌调制和线性解调方法

提出一种新的用于保密通信的混沌调制和线性解调方法.发送端和接收端各有一个相同的混沌电路,将有用信号接入发送端混沌电路的线性子电路,使其对该混沌电路进行调制.调制后的混沌信号传送到接收端的混沌电路,检测该电路中某一电流或电压变量,经线性滤波器解调可恢复原始有用信号.基于这一调制、解调方法的混沌通信系统保密性强且电路简单.对两个混沌保密通信系统的仿真实验取得了满意的结果.     

混沌符号动力学运算电路模型研究

结合混沌符号动力学原理及1-D分段线性映射混沌系统,本文经过理论论证并提出了一种能够实现混沌符号序列运算的运算电路模型.并结合单驱动式恒流源混沌电路和FPGA芯片,对该运算模型进行了实验验证.实验结果表明,在精度允许范围内,两串混沌符号序列经运算得到的结果与真实测量结果之间可进行等效.该模型可应用于数字图像加密处理等混沌信号处理系统中.     

基于分数阶忆阻器的混沌电路分析与设计

提出了一种新型的分数阶忆阻混沌电路.首先,建立了分数阶忆阻器的数学模型,通过数值仿真验证了分数阶广义忆阻器满足忆阻器的基本特性.然后,将分数阶广义忆阻器与蔡氏振荡电路相结合,建立了一种基于分数阶广义忆阻器的混沌电路模型.通过稳定性理论,对分数阶系统的稳定性进行了分析.为了进一步研究电路参数对系统动态行为的影响,利用相位...     

Mixed-mode chaotic circuit

A switching method is used to design a novel and extremely simple form of mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic circuit dynamics. The static and dynamic performances of the proposed circuit have been investigated and its mixed-mode chaotic behaviour verified by computer simulations     

Theoretical Design and Circuit Implementation of Multidirectional Multi-Torus Chaotic Attractors

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.     

基于文氏振荡器的忆阻混沌电路

该文采用文氏桥振荡器和磁通控制的分段线性忆阻器,设计了一种新的单一参数控制的混沌电路。通过调节控制参数,该系统在忆阻器的非线性作用下,通过倍周期分岔产生了混沌和超混沌现象。利用常规的动力学分析手段研究了电路参数变化时系统的动力学特性,例如平衡点稳定性分析,李雅普诺夫指数谱和分岔图。为了验证电路的正确性,该文采用集成运放和压控开关实现了一个分段线性磁控忆阻器的模拟等效电路,并将该系统应用于提出的混沌电路,Pspice仿真结果与理论分析完全吻合。     

Design and implementation of n-scroll chaotic attractors from a general jerk circuit

This paper proposes a novel nonlinear modulating function approach for generating n-scroll chaotic attractors based on a general jerk circuit. The systematic nonlinear modulating function methodology developed here can arbitrarily design the swings, widths, slopes, breakpoints, equilibrium points, shapes, and even the general phase portraits of the n-scroll chaotic attractors by using the adjustable sawtooth wave, triangular wave, and transconductor wave functions. The dynamic mechanism and chaos generation condition of the general jerk circuit are further investigated by analyzing the system stability. A simple block circuit diagram, including integrator, sawtooth wave and triangular wave generators, buffer, switch linkages, and voltage-current conversion resistors, is designed for the hardware implementations of various 3-12-scroll chaotic attractors via switchings of the switch linkages. This is the first time to experimentally verify a 12-scroll chaotic attractor generated by an analog circuit. In particular, the recursive formulas of system parameters and real physical circuit parameters are rigorously derived for the hardware implementations of the n-scroll chaotic attractors. Moreover, the adjustability of the nonlinear modulating function and the rigorous recursive formulas together provide a theoretical principle for the hardware implementations of various chaotic attractors with a large number of scrolls.     

基于双曲函数的双忆阻器混沌电路多稳态特性分析

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.     

Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum

Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system.     

Nonautonomous pulse-driven chaotic oscillator based on Chua's circuit

A novel nonautonomous chaotic oscillator based on the passive structure of Chua's circuit is proposed. Unlike most of the available members of this class of chaotic oscillators, the proposed circuit is driven by a periodic bipolar pulse-train rather than by sinusoidal excitation. This results in equilibrium points which have fixed positions in space. The circuit employs self feedback via a single comparator, which is the only nonlinear device involved. The output of this comparator is a chaotic bipolar pulse-train. A mathematical model which captures the behavior of the circuit is derived and experimental results are presented. Also, a version of the circuit with a practical realization of the driving pulse generator is considered and a variant structure with an alternatively excited node is discussed.     

含两个磁控忆阻器的五阶混沌电路设计

基于经典蔡氏混沌振荡电路,利用2个磁控光滑忆阻器以及电容、电感设计了一种新的五阶混沌振荡电路。讨论了平衡点稳定性,分析了相图、Lyapunov指数和分岔图。此双忆阻混沌电路具有复杂的动力学行为,运动轨迹依赖于电路参数和电路初始状态;从能量的角度探索了奇异吸引子,结果表明系统存在不同吸引子共存的多稳态现象。用PSpice进行了电路设计,验证了Matlab理论仿真正确性和电路设计的可实现性。     

Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication

A kind of tensile-type 3-D multi-scroll chaotic attractor based on Chua's circuit was successfully designed. The chaos generation mechanism was studied by analyzing the symmetry and invariance, the existence of the dissipation, as well as the system equilibrium and stability. Then, some basic dynamical properties, such as Lyapunov exponents, fractal dimension, chaotic dynamical behaviors of the new chaotic system were introduced, either numerically or analytically. At the same time, the chaotic circuit of this system was realized by PSPICE. Finally, based on Lyapunov theorem and unidi-rectionally coupled method, the synchronization of the chaotic system has also been investigated. With this approach, the novel system can be applied to secure communication, which can achieve the purpose of covering specific signals. The experimental results are in agreement with numerical simulation results, which verifies the availability and feasibility of this method.