Pinched hysteretic loops of ideal memristors, memcapacitors and meminductors must be ‘self-crossing’
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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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.”
From Everything You Wish to Know About Memristors But Are Afraid to Ask (2015) · cites this paper as [11]
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Zheng, C., Yu, D., Liang, Y., & Chen, M. (2015) · Chinese Physics B · doi:10.1088/1674-1056/24/11/110701 · Cited by 6 · see citing works
Modified RSA Encryption Algorithm Based on Chaos and Its Application in Voice Encryption System
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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
- ORCID
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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