憶阻高通濾波電路準(zhǔn)周期與混沌環(huán)面簇發(fā)振蕩及慢通道效應(yīng)
doi: 10.11999/JEIT190373
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1.
南京信息職業(yè)技術(shù)學(xué)院電子信息學(xué)院 南京 210023
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2.
常州大學(xué)信息科學(xué)與工程學(xué)院 常州 213164
基金項目: 國家自然科學(xué)基金(51607013, 61601062)
Quasi-periodic, Chaotic-torus Bursting Oscillations and SlowPassage Effect in Memristive High-pass Filter Circuit
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1.
School of Electronic Information, Nanjing College of Information Technology, Nanjing 210023, China
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2.
School of Information Science and Engineering, Changzhou University, Changzhou 213164, China
Funds: The National Natural Science Foundations of China (51607013, 61601062)
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摘要: 該文提出了一種憶阻高通濾波電路,它是由有源高通RC濾波器與二極管橋級聯(lián)LC振蕩器的憶阻模擬器并聯(lián)耦合組成的。該文建立了電路方程與系統(tǒng)模型?;诜植韴D、相平面圖、龐加萊映射等數(shù)值仿真,開展了以反饋增益為可調(diào)參數(shù)的分岔分析,揭示了憶阻高通濾波電路中存在的準(zhǔn)周期、混沌環(huán)面、混沌和多周期等簇發(fā)振蕩行為。進(jìn)一步地,通過快慢分析法,導(dǎo)出了快子系統(tǒng)的Hopf分岔集,并進(jìn)而闡述了憶阻高通濾波電路慢通道效應(yīng)的形成機(jī)理。最后,基于Multisim電路仿真驗證了數(shù)值仿真結(jié)果。
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關(guān)鍵詞:
- 高通濾波器 /
- 憶阻模擬器 /
- 簇發(fā)振蕩 /
- 慢通道效應(yīng)
Abstract: 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 Poincaré mapping, 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. -
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