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  

Quasi-periodic,Chaotic-torus Bursting Oscillations and Slow Passage Effect in Memristive High-pass Filter Circuit

作　　者：李芳苑[1] 陈墨[2] 武花干[2] LI Fangyuan;CHEN Mo;WU Huagan(School of Electronic Information,Nanjing College of Information Technology,Nanjing 210023,China;School of Information Science and Engineering,Changzhou University,Changzhou 213164,China)

机构地区：[1]南京信息职业技术学院电子信息学院,南京210023 [2]常州大学信息科学与工程学院,常州213164

出　　处：《电子与信息学报》2020年第4期811-817,共7页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(51607013,61601062)。

摘　　要：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。A memristive high-pass filter circuit is presented,which is composed of an active high-pass RC filter parallelly coupling with a memristor emulator of diode-bridge cascaded by LC oscillator.The circuit equations and system model are established.Based on bifurcation diagram,phase plane plot,and Poincarémapping,bifurcation analysis with the feedback gain as adjustable parameter is performed,from which bursting oscillating behaviors including quasi-period,chaotic-torus,chaos,and multiple period that exist in such a memristive high-pass filter circuit are disclosed.Furthermore,through fast-slow analysis method,Hopf bifurcation set of the fast sub-system is derived,with which the formation mechanism of slow passage effect in the memristive high-pass filter circuit is expounded.Finally,the numerical simulation results are validated based on Multisim circuit simulations.

关 键 词：高通滤波器 忆阻模拟器 簇发振荡 慢通道效应 

分 类 号：TN713[电子电信—电路与系统] TN601