基于忆阻元件的五阶混沌电路研究

采用一个有源磁控忆阻器替换四阶蔡氏振荡器中的蔡氏二极管,导出了一个基于忆阻元件的五阶混沌电路,建立了相应电路状态变量的微分方程组.理论分析表明该忆阻混沌电路具有一个平衡点集,其稳定性随忆阻器初始状态变化而变化.采用常规的动力学分析手段研究了忆阻器初始状态发生变化时电路的动力学特性.数值仿真结果验证了理论分析的正确性.     

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...     

Multi-scroll hyperchaotic system based on colpitts model and its circuit implementation

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.     

双忆阻Shinriki振荡器的超级多稳态和反单调性分析

本文通过在Shinriki振荡器中引入一个有源荷控忆阻,并且利用一个含绝对值项的磁控忆阻代替原电路中的串并联二极管回路,提出了一种含双忆阻器的Shinriki振荡器.根据电路拓扑结构图建立了忆阻振荡器的数学模型,开展了振荡器随电路元件参数变化时的共存分岔、周期-混沌状态转移等动力学特性分析.结果表明,双忆阻Shinriki振荡器对忆阻的参数值和初始条件有极大的依赖性,随着忆阻参数值和初始条件在特定域内变化,振荡器将呈现出共存反单调现象、不完全对称行为、超级多稳态等非线性动力学行为.此外,基于FPGA开发板完成了双忆阻Shinriki振荡器的数字电路仿真,在示波器上捕捉实验波形,验证了动力学分析的正确性.     

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。     

Hybrid crossbar architecture for a memristor based cache

This paper describes a new memristor crossbar architecture that is proposed for use in a high density cache design. This design has less than 10% of the write energy consumption than a simple memristor crossbar. Also, it has up to 3 times the bit density of an STT-MRAM system and up to 11 times the bit density of an SRAM architecture. The proposed architecture is analyzed using a detailed SPICE analysis that accounts for the resistance of the wires in the memristor structure. Additionally, the memristor model used in this work has been matched to specific device characterization data to provide accurate results in terms of energy, area, and timing. The proposed memory system was analyzed by modeling two different devices that vary in resistance range and switching time. This system does not require that the memristor devices have inherent diode effects which limit alternate current paths. Therefore this system is capable of utilizing a much broader class of devices.An architectural analysis has also been completed that shows how the memory system may perform as a cache memory. A hybrid cache structure was used to alleviate the long write latencies of memristor devices. This approach consisted of the tag array being made of SRAM cells while the data array was made of the memristor circuit proposed. This hybrid scheme allows multiple reads and writes to concurrently access different sub-arrays within a cache. The performance of these novel memristor based caches was compared to SRAM and STT-MRAM based caches through detailed simulations. The results show that the memristor caches are denser and allow better performance along with lower system power when compared to the STT-MRAM and SRAM caches.     

A hyperchaotic memristor system with exponential and discontinuous memductance function

Most of the memristor chaotic and hyperchaotic oscillators discussed in the literatures use the cubic flux controlled memristor model. The drawback of this model is that in spite of knowing the terminal voltage polarity, one cannot easily determine whether the memductance increase or decrease. Hence we propose new memristor hyperchaotic oscillators derived using exponential memductance and discontinuous memductance functions. Dynamical analysis of the proposed oscillators are conducted using equilibrium points, stability of equilibrium, Eigen values and Lyapunov exponents. Bifurcation plots are derived to understand the parameter dependence of the proposed oscillators. Multistability and coexisting attractors are exhibited by these memristor oscillators.     

Non linear dynamics of memristor based 3rd order oscillatory system

In this paper, we report for the first time the nonlinear dynamics of three memristor based phase shift oscillators, and consider them as a plausible solution for the realization of parametric oscillation as an autonomous linear time variant system. Sustained oscillation is reported through oscillating resistance while time dependent poles are present. The memristor based phase shift oscillator is explored further by varying the parameters so as to present the resistance of the memristor as a time varying parameter, thus potentially eliminating the need of external periodic forces in order for it to oscillate. Multi memristors, used simultaneously with similar and different parameters, are investigated in this paper. Mathematical formulas for analyzing such oscillators are verified with simulation results and are found to be in good agreement.     

简洁无电感忆阻混沌电路及其特性

采用非理想有源电压控制忆阻器和磁通控制型光滑3次非线性忆阻器,该文设计了一种不含电感的简单(只含5个电子元器件)双忆阻混沌电路。采用常规的非线性分析手段详细研究了电路参数变化时系统的基本动力学行为,例如平衡点稳定性分析,相轨图以及李雅普诺夫指数谱和分岔图等。通过调节系统控制参数,该系统可产生多涡卷、多翼以及暂态混沌等十分丰富的动力学现象。此外,还研究了系统依赖于忆阻器初始状态的多稳态,得到了一些有意义的结果。为验证电路的可行性及稳定性,通过对忆阻器的模拟等效电路的搭建,并将该等效电路应用于所提出的混沌电路中,硬件电路实验结果以及Multisim电路仿真结果与理论分析一致。     

Synchronization and chaos in coupled memristor-based FitzHugh-Nagumo circuits with memristor synapse

The memristor has drawn a significant interest in the fields of neuromorphic circuits because the nanoscale memristor is a strong candidate to become the critical element of novel ultra-high density low-power non-volatile memories. In the present paper, we focus on networks of FitzHugh-Nagumo neuron circuits employing memristor. First, we build the memristor-based circuit of FitzHugh-Nagumo model. The details of the chaotic phenomena of the memristor-based FitzHugh-Nagumo circuit under external stimuli have been found with use of computer simulations, i.e., we have numerically calculated waveform diagrams, phase portraits, Lyapunov exponents and bifurcation diagram. And we also confirm these results of theoretical analyses and numerical calculations by circuit simulation experiments of the actual analog circuit realization using Multisim modeling. Then the synchronization of coupled memristor-based chaotic neurons with memristor synapse is discussed, and synchronization mechanism is also found. Finally, we have also derived the sufficient conditions of chaotic synchronization in unidirectional coupled neuron circuits and bidirectional coupled neuron circuits respectively, which are that the parameter of memristor synapse must meet certain conditions. These results of theoretical analyses have been confirmed by numerical simulation.     

一种超混沌混合保密通信方案

本文将超混沌系统单变量单向耦合同步方法与两信道保密通信方案相结合，给出了一种双信道超混沌混合保密通信方案。发送端利用超混沌振荡器的一个或多个状态产生混沌密钥和遮掩信号，对信息信号先加密再遮掩，获得加密信号后使用一个信道传输；利用另一信道传输实现超混沌系统同步的单变量同步信号。接收端基于单变量单向耦合同步方法获得解密同步信号，实现信息信号高信噪比恢复。仿真结果表明了方案的有效性。     

Memristor based N-bits redundant binary adder

This paper introduces a memristor based N-bits redundant binary adder architecture for canonic signed digit code CSDC as a step towards memristor based multilevel ALU. New possible solutions for multi-level logic designs can be established by utilizing the memristor dynamics as a basis in the circuit realization. The proposed memristor-based redundant binary adder circuit tries to achieve the theoretical advantages of the redundant binary system, and to eliminate the carry (borrow) propagation using signed digit representation. The advantage of carry elimination in the addition process is that it makes the speed independent of the operands length which speeds up all arithmetic operations. One memristor is sufficient for both the addition process and for storing the final result as a memory cell. The adder operation has been validated via different cases for 1-bit and 3-bits addition using HP memristor model and PSPICE simulation results.     

一种超混沌保密通信方案与数字信号处理器实现

提出了一种基于振荡器耦合实现超混沌保密通信的新方案。在两个RC振荡器耦合产生超混沌信号基础上,构建一个包括信息在内的非线性耦合环路,实现对信息的加密与解密。对其混沌动力学行为进行了分析,包括分岔和最大Lyapunov指数。利用数字化处理技术,对连续时间系统作离散化处理和变量比例扩张变换,最后给出了用数字信号处理器来实现该方案的设计原理与硬件实现结果。     

Controlling a unified chaotic system to hyperchaotic

This brief presents a simple technique using a sinusoidal parameter perturbation control input to drive a unified chaotic system to hyperchaotic. The original chaotic system is a three-dimensional autonomous system that has a broad spectrum of chaotic behaviors with the Lorenz and the Chen systems as two extremes of the spectrum. The control input is a simple sinusoidal function cos(/spl omega/t) with a constant parameter /spl omega/. The hyperchaotic system is not only demonstrated by computer simulations but also verified with bifurcation analysis and implemented via an electronic circuit.     

Memristor Based Pulse Train Generator

Russian Microelectronics - The memristor pulse series oscillator based on the Schmitt trigger with a memristor and a capacitor at the input is discussed. It is shown that such circuit provides the...     

Extended chaos control method applied to Chua circuit

An extended chaos control strategy, based on previous work, is developed and applied to a real implementation of Chua's circuit. The new approach leads to improvements in the stability and controllability of this electronic oscillator, which has been used to study secure communication systems     

一类四维超混沌系统的同步研究

采用误差变量的线性组合对一类四维动态超混沌系统进行单向反馈控制，解析地证明了实现同步的可能性，从Lyapunov理论角度分析了对于四维动态系统采用单变量单向耦合的可行性，求出同步所需控制器要满足的条件。当驱动系统参数做周期变化时，用文中的控制器实现了两个超混沌系统很好同步。     

A no-equilibrium memristive system with four-wing hyperchaotic attractor

A new memristive system is proposed in this paper which can have no equilibrium and a line of equilibrium based on the value of its controlling parameter. Also, changing that parameter can cause the system having both chaotic and hyperchaotic solutions. This system has a multi-wing strange attractor. Dynamical properties of this system such as Lyapunov exponents and bifurcation diagram are calculated. This system belongs to the category of systems with hidden and multistable attractors. A system with all the above-mentioned properties is not common in the literature. Finally, an adaptive sliding mode control method is applied to synchronize this chaotic system.     

一个新的开关超混沌及其DSP实现

为了提高混沌的复杂性,提出了一个开关超混沌系统。该系统包含2个不同的超混沌子系统,其结构和参数在其自身变量的控制下不断地在这两个子系统之间变化,其行为比传统的超混沌更具复杂性。为产生数字超混沌信号,基于DSP芯片研究了该开关超混沌系统的数字化实现问题,在实验中获得了数字化的混沌序列。该系统及其数字化方法可应用于通信、信息加密和计算机等领域之中。     

忆阻高通滤波电路准周期与混沌环面簇发振荡及慢通道效应

该文提出了一种忆阻高通滤波电路,它是由有源高通RC滤波器与二极管桥级联LC振荡器的忆阻模拟器并联耦合组成的。该文建立了电路方程与系统模型。基于分岔图、相平面图、庞加莱映射等数值仿真,开展了以反馈增益为可调参数的分岔分析,揭示了忆阻高通滤波电路中存在的准周期、混沌环面、混沌和多周期等簇发振荡行为。进一步地,通过快慢分析法,导出了快子系统的Hopf分岔集,并进而阐述了忆阻高通滤波电路慢通道效应的形成机理。最后,基于Multisim电路仿真验证了数值仿真结果。