共查询到18条相似文献,搜索用时 125 毫秒
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《物理学报》2017,(4)
利用两个磁控忆阻器和一个荷控忆阻器设计了一个六阶混沌电路,并建立了相应电路状态变量的非线性动力学方程.研究了系统的基本动力学特性,平衡点及其稳定性分析表明:该电路具有一个位于忆阻器内部状态变量所构成三维平衡点集,平衡点的稳定性由电路参数和三个忆阻器的初始状态决定.分岔图、Lyapunov指数谱等表明该电路在参数变化情况下能产生Hopf分岔和反倍周期分岔两种分岔行为,以及超混沌、暂态混沌、阵发周期现象等多种复杂的非线性动力学行为.将观察混沌吸引子时关注的电压、电流信号推广到功率和能量信号,观察到了莲花型、叠加型吸引子等奇怪吸引子的产生.并研究了各忆阻器能量信号之间产生吸引子的情况,特别地,当取不同的初始值时,系统出现了共存混沌吸引子和周期极限环与混沌吸引子的共存现象. 相似文献
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利用荷控忆阻器和一个电感串联设计一种新型浮地忆阻混沌电路.用常规动力学分析方法研究该系统的基本动力学特性,发现系统可以产生一对关于原点对称的"心"型吸引子.将观察混沌吸引子时关注的电压、电流推广到功率和能量信号,观察到蝴蝶结型奇怪吸引子的产生.理论分析Hopf分岔行为并通过数值仿真进行验证,结果表明系统随电路参数变化能产生Hopf分岔、反倍周期分岔两种分岔行为.相对于其它忆阻混沌电路该电路采用的是一个浮地型忆阻器,并且在初始状态改变时,能产生共存吸引子和混沌吸引子与周期极限环共存现象. 相似文献
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提出在高阶Jerk系统中产生多涡卷混沌吸引子的一种电路设计与实现新方法.根据高阶Jerk方程,构造了一组具有参数控制的阶跃函数序列,在此基础上设计了产生多涡卷混沌吸引子的高阶广义Jerk电路.用这种方法设计电路的一个主要特点是通用性强,基于一种广义的电路形式,通过双掷开关切换,可分别实现多涡卷四阶和五阶两种不同类型的高阶Jerk电路,并由联动开关控制产生涡卷的数量.给出了在四阶和五阶Jerk电路中产生多涡卷混沌吸引子的计算机模拟和硬件实验结果.
关键词:
高阶广义Jerk电路
阶跃函数序列
多涡卷混沌吸引子
电路实验 相似文献
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利用线性时间延迟自反馈方法,研究单个Hindmarsh-Rose(H-R)神经元模型混沌动力学模式的控制问题.分别将增益因子和时间延迟作为控制参数,通过数值模拟分析,发现在增益因子和时间延迟两个参数组合的一些范围内,混沌动力学模式的H-R神经元运动可自动被控制成时间间隔意义上的单峰、2峰、3峰及4峰的周期或多倍周期模式.延迟时间的选取并无特别要求,不必和嵌入在混沌吸引子内的某不稳周期轨道的周期相同,延迟控制自适应地引导混沌轨到相应的放电峰峰间隔的周期模式上.
关键词:
H-R神经元
延迟反馈控制
混沌放电模式
峰峰间隔周期 相似文献
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通过在蔡氏电路的耦合电阻支路中串联一个电感,采用压控忆阻替换蔡氏电路中的蔡氏二极管,提出了一种新颖的五阶压控忆阻蔡氏混沌电路.建立该电路的数学模型,从理论上分析了平衡点及其稳定性的演化过程.特别地,该电路在给定参数下只有一个不稳定的零平衡点,却形成了混沌与周期的非对称吸引子共存的吸引盆,意味着双稳定性的存在.进而利用数值仿真与PSIM电路仿真着重研究了本文电路在不同初始状态下产生的双稳定性现象及其形成机理.PSIM电路仿真结果与数值仿真结果一致,较好地验证了理论分析.借助分岔图、李雅普诺夫指数、相轨图和吸引盆进一步深入探讨了归一化五阶压控忆阻蔡氏系统依赖于系统初始条件的动力学行为.结果表明,该忆阻蔡氏系统在不同的初始条件下能够呈现出混沌吸引子与周期极限环共存的双稳定性现象. 相似文献
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In this paper, we construct a novel 4D autonomous chaotic system with four cross-product nonlinear terms and five equilibria. The multiple coexisting attractors and the multiscroll attractor of the system are numerically investigated. Research results show that the system has various types of multiple attractors, including three strange attractors with a limit cycle, three limit cycles, two strange attractors with a pair of limit cycles, two coexisting strange attractors. By using the passive control theory, a controller is designed for controlling the chaos of the system. Both analytical and numerical studies verify that the designed controller can suppress chaotic motion and stabilise the system at the origin. Moreover, an electronic circuit is presented for implementing the chaotic system. 相似文献
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This paper proposes a systematic methodology for creating multifolded torus chaotic attractors from a simple three-dimensional piecewise-linear system. Theoretical analysis shows that the multifolded torus chaotic attractors can be generated via alternative switchings between two basic linear systems. The theoretical design principle and the underlying dynamic mechanism are then further investigated by analyzing the emerging bifurcation and the stable and unstable subspaces of the two basic linear systems. A novel block circuit diagram is also designed for hardware implementation of 3-, 5-, 7-, 9-folded torus chaotic attractors via switching the corresponding switches. This is the first time a 9-folded torus chaotic attractor generated by an analog circuit has been verified experimentally. Furthermore, some recursive formulas of system parameters are rigorously derived, which is useful for improving hardware implementation. 相似文献
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为了实现不同类型混沌吸引子之间的复合,采用理论分析、数值仿真和电路仿真方法,通过设计合适的切换控制器实现了不同两涡卷混沌系统之间的复合、不同多涡卷混沌系统之间的复合、两涡卷混沌系统与两翅膀混沌系统之间的复合和多涡卷混沌系统与多翅膀混沌系统之间的复合.通过观察吸引子相图、最大Lyapunov指数和Poincaré截面,分析了复合系统的动力学行为.设计了复合多涡卷-多翅膀吸引子的模拟电路,并对其进行了电路仿真,得到的电路仿真结果与数值仿真结果相一致.这表明利用切换控制器实现不同类型混沌系统之间复合方法的正确性. 相似文献
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基于参数切换算法和离散混沌系统, 设计一种新的混沌系统参数切换算法, 给出了两算法的原理. 采用混沌吸引子相图观测法, 研究了不同算法下统一混沌系统和Rössler混沌系统参数切换结果, 最后引入方波发生器, 设计了Rössler混沌系统参数切换电路. 结果表明, 采用参数切换算法可以近似出指定参数下的系统, 其吸引子与该参数下吸引子一致; 基于离散系统的参数切换结果更为复杂, 当离散序列分布均匀时, 只可近似得到指定参数下的系统; 相比传统切换混沌电路, 参数切换电路不用修改原有系统电路结构, 设计更为简单, 输出结果受方波频率影响, 通过加入合适频率的方波发生器, 数值仿真与电路仿真结果一致. 相似文献
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In this Letter, a novel method is developed for generating grid multi-scroll chaotic attractors using switching piecewise linear controller. First, a third-order linear system is designed to ensure that its unique equilibrium point belongs to a saddle-focus type with index 2 and the corresponding eigenvalues satisfy Shilnikov conditions. Then, by three different types of switching control strategies, the equilibrium point can be extended along both xy plane and z axis direction, so as to generate grid multi-scroll chaotic attractors. The dynamical behaviors are further analyzed. Moreover, an improved module-based circuit is designed for realizing 5×3 and 4×4 grid scroll chaotic attractors, and the experimental results are also obtained, which is consistent with the numerical simulations. 相似文献
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This paper presents a new hyperbolic-type memristor model,whose frequency-dependent pinched hysteresis loops and equivalent circuit are tested by numerical simulations and analog integrated operational amplifier circuits.Based on the hyperbolic-type memristor model,we design a cellular neural network(CNN)with 3-neurons,whose characteristics are analyzed by bifurcations,basins of attraction,complexity analysis,and circuit simulations.We find that the memristive CNN can exhibit some complex dynamic behaviors,including multi-equilibrium points,state-dependent bifurcations,various coexisting chaotic and periodic attractors,and offset of the positions of attractors.By calculating the complexity of the memristor-based CNN system through the spectral entropy(SE)analysis,it can be seen that the complexity curve is consistent with the Lyapunov exponent spectrum,i.e.,when the system is in the chaotic state,its SE complexity is higher,while when the system is in the periodic state,its SE complexity is lower.Finally,the realizability and chaotic characteristics of the memristive CNN system are verified by an analog circuit simulation experiment. 相似文献
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Transient transition behaviors of fractional-order simplest chaotic circuit with bi-stable locally-active memristor and its ARM-based implementation 下载免费PDF全文
Zong-Li Yang 《中国物理 B》2021,30(12):120515-120515
This paper proposes a fractional-order simplest chaotic system using a bi-stable locally-active memristor. The characteristics of the memristor and transient transition behaviors of the proposed system are analyzed, and this circuit is implemented digitally using ARM-based MCU. Firstly, the mathematical model of the memristor is designed, which is nonvolatile, locally-active and bi-stable. Secondly, the asymptotical stability of the fractional-order memristive chaotic system is investigated and some sufficient conditions of the stability are obtained. Thirdly, complex dynamics of the novel system are analyzed using phase diagram, Lyapunov exponential spectrum, bifurcation diagram, basin of attractor, and coexisting bifurcation, coexisting attractors are observed. All of these results indicate that this simple system contains the abundant dynamic characteristics. Moreover, transient transition behaviors of the system are analyzed, and it is found that the behaviors of transient chaotic and transient period transition alternately occur. Finally, the hardware implementation of the fractional-order bi-stable locally-active memristive chaotic system using ARM-based STM32F750 is carried out to verify the numerical simulation results. 相似文献
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In this paper, a novel chaotic oscillator is proposed, which is derived from the classical Shinriki oscillator by substituting the series-parallel diode loop with a flux-controlled memristor and connecting an active charge-controlled memristor in series with an inductor. The mathematical model of the circuit is established, and the stability distribution maps of three non-zero eigenvalues in the equilibrium plane are obtained. The basic dynamical behaviors depending on the variation of the circuit parameters and memristor initial conditions are investigated by standard nonlinear analysis tools, such as bifurcation diagrams, Lyapunov exponents and phase portraits. Particularly, some striking phenomena, including the routes to double-scroll chaotic attractors, coexisting periodic-chaotic bubbles and asymmetric coexisting behaviors are observed. Furthermore, extreme multistability of the new oscillator is revealed by attraction basins under the initial condition of different dynamic elements. Finally, the Shinriki oscillator with two memristors is realized through Field-Programmable Gate Array (i.e., FPGA) to verify the effectiveness of the numerical simulations. 相似文献