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

Fangyuan LI; Mo CHEN; Huagan WU

doi:10.11999/JEIT190373

Volume 42 Issue 4

Jun. 2020

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Article Navigation > Journal of Electronics & Information Technology > 2020 > 42(4): 811-817

Fangyuan LI, Mo CHEN, Huagan WU. Quasi-periodic, Chaotic-torus Bursting Oscillations and SlowPassage Effect in Memristive High-pass Filter Circuit[J]. Journal of Electronics & Information Technology, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373

Citation:

Fangyuan LI, Mo CHEN, Huagan WU. Quasi-periodic, Chaotic-torus Bursting Oscillations and SlowPassage Effect in Memristive High-pass Filter Circuit[J]. Journal of Electronics & Information Technology, 2020, 42(4): 811-817. doi: 10.11999/JEIT190373

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

doi: 10.11999/JEIT190373

Fangyuan LI¹,
Mo CHEN²,
Huagan WU^{2
,
,}

1.
School of Electronic Information, Nanjing College of Information Technology, Nanjing 210023, China
2.
School of Information Science and Engineering, Changzhou University, Changzhou 213164, China

Funds: The National Natural Science Foundations of China (51607013, 61601062)

Received Date: 2019-05-24
Rev Recd Date: 2019-09-09

Available Online: 2019-09-19

Publish Date: 2020-06-04

Abstract

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.
- High-pass filter circuit,
- Memristor emulator,
- Bursting oscillation,
- Slow passage effect

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References(18)

References

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