4.5 Article

Forward and reverse asymmetric memristor-based jerk circuits

Publisher

ELSEVIER GMBH
DOI: 10.1016/j.aeue.2020.153294

Keywords

Asymmetric memristor emulator; Jerk circuit; Bifurcation; Coexisting behaviors; Extreme event

Funding

  1. National Natural Science Foundations of China [51777016, 61801054]
  2. Natural Science Foundation of Jiangsu Province, China [BK20191451]

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To better demonstrate the asymmetric properties of physical memristive devices, this paper presents an asymmetric memristor emulator that is constructed by an asymmetric diode-bridge cascaded with a parallel resistor-capacitor (RC) filter. By introducing this emulator into a third-order jerk circuit in both forward and reverse ways, this paper constructs two types of asymmetric memristor-based jerk circuits. The two circuits don't have symmetry themselves, but they are symmetric with each other. By using multiple numerical methods, parameter-associated bifurcation behaviors and initial-associated coexisting behaviors are revealed. Complex dynamics can be thereby observed from these two circuits, including period, chaos, periodic bubble, chaotic bubble, period-doubling bifurcation, antimonotonicity, and extreme event. Furthermore, Multisim circuit simulation models are established and the measured results validate the numerically simulated ones. (C) 2020 Elsevier GmbH. All rights reserved.

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