基于简化Lorenz混沌电路的频率特性分析
Frequency Characteristics Analysis Based on Simplified Lorenz System
DOI: 10.12677/OJCS.2018.74012, PDF,    科研立项经费支持
作者: 陈秋杰*, 杨其宇, 鲍 芳：广东工业大学自动化学院，广东 广州
关键词: 简化Lorenz系统；混沌电路；频率特性；忆阻器；Simplified Lorenz System； Chaotic Circuit； Frequency Characteristics； Memristor
摘要: 在混沌系统的硬件电路中通过配置积分电路的积分常数可以改变系统时间尺度变换的大小，然而积分电路的不同参数配置会改变系统信号频率分布范围。信号频率分布范围的改变将对系统的非线性动力特性产生什么样的影响？本文通过改变混沌电路中的积分时间常数，观察系统信号的震荡频率范围的变化。利用简化Lorenz系统的电路仿真分析积分电路的参数配置对混沌系统信号的震荡频率范围改变，并探讨该改变对混沌系统非线性动力特性的潜在影响。实验结果显示积分电路的参数配置将改变混沌系统信号的震荡频率范围，但并不改变系统的混沌特性。在基于忆阻器的混沌系统中由于忆阻器所展示的随频率变化的伏安特性将对系统的非线性动力特性产生潜在影响。
Abstract: In the hardware circuit of the chaotic system, the integral constant of the integrating circuits can be configured to change the size of the system time scale transformation. However, the different parameter configurations of the integrating circuits will change the frequency distribution range of the system signal. What effect does the change in the signal frequency distribution have on the nonlinear dynamic characteristics of the system? In this paper, the variation of the oscillation frequency range of the system signal is observed by changing the integral time constant in chaotic circuit. The circuit simulation of the simplified Lorenz system is used to analyze the oscillation frequency range and explore the potential influence for the chaotic system with different parameter configuration of the integrating circuits. The experimental results have showed that the different parameter configuration of integrating circuits can change the oscillation frequency range of the chaotic system signal, but it does not change the chaotic characteristics of the system. In the chaotic systems based on memristors whose volt-ampere characteristics exhibited vibration with frequency, the parameter configuration of integrating circuits might cause potential effect on nonlinear dynamic characteristics of the system. <>
文章引用：陈秋杰, 杨其宇, 鲍芳. 基于简化Lorenz混沌电路的频率特性分析[J]. 电路与系统, 2018, 7(4): 93-100. https://doi.org/10.12677/OJCS.2018.74012

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