Cited by 145Advanced Memory and Neural ComputingFerroelectric and Negative Capacitance DevicesAdvanced MEMS and NEMS Technologies

Pinched hysteretic loops of ideal memristors, memcapacitors and meminductors must be ‘self-crossing’

Biolek, D., Biolek, Z., Biolkova, V.·2011·Electronics Letters

Abstract

Recently, novel findings have been published, according to which some mem-systems excited by harmonic signals can be characterised by the so-called ‘non-crossing-type pinched hysteretic loops’. Presented is a proof that this phenomenon cannot occur in ideal memristors, memcapacitors and meminductors which are defined axiomatically via the corresponding constitutive relations or via other equivalent characteristics, and that the ‘crossing-type hysteretic loop’ is thus one of their typical fingerprints.

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Registry

Crossref · 10.1049/el.2011.2913

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  • The pinched hysteresis loop derived from any ideal memristor driven by a half-wave odd-symmetric input voltage source, or current source, is odd-symmetric, and crosses each other with distinct slopes at the origin provided that the loci is double-valued in a small neighborhood of the origin.

    “The pinched hysteresis loop derived from any ideal memristor driven by a half-wave odd-symmetric input voltage source, or current source, is odd-symmetric, and crosses each other with distinct slopes at the origin provided that the loci is double-valued in a small neighborhood of the origin.”

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Authors
Biolek, D., Biolek, Z., & Biolkova, V.
Affiliations
  • Brno University of Technology (CZ)
  • SSIER, Skolni 1610, Roznov p.R., Czech Republic
  • Department of Radio Electronics, Brno University of Technology, Purkynova 118, Brno, Czech Republic
Venue
Electronics Letters
Published
2011-12-08
Volume
47
Issue
25
Pages
1385-1387
ISSN
  • 0013-5194 (ISSN-L)
  • 1350-911X
OpenAlex
W2094814021
Cited by
145
References
6
Citations by year
2026: 4 · 2025: 1 · 2024: 9 · 2023: 10 · 2022: 7 · 2021: 10 · 2020: 10 · 2019: 7 · 2018: 17 · 2017: 8 · 2016: 15 · 2015: 21 · 2014: 12 · 2013: 9 · 2012: 5
FWCI
5.82
Type
journal article
Language
en
Open access
closed
Locations
Electronics Letters (publishedVersion)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Ferroelectric and Negative Capacitance Devices
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced MEMS and NEMS Technologies
Keywords
memristors, memcapacitor, meminductor, constitutive equations, harmonic excitation, hysteresis loop analysis

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