The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
The Fourth Element
Abstract
This tutorial clarifies the axiomatic definition of$( \color{#FF0000}v^{\color{#000000}(\color{#FF0000}\alpha\color{#000000})}\color{#000000},\color{#FF0000}i^{ \color{#000000}(\color{#FF0000}\beta\color{#000000})}\color{#000000})$circuit elements via a lookup table dubbed an A-pad, of admissible$(\color{#FF0000}v\color{#000000},\color{#FF0000}i\color{#000000})$signals measured via Gedanken probing circuits. The$(\color{#FF0000}v^{ \color{#000000}(\color{#FF00FF}\alpha\color{#000000})}\color{#000000},\color{#FF0000}i^{\color{#000000}( \color{#FF00FF}\beta\color{#000000})}\color{#000000})$elements are ordered via a complexity metric. Under this metric, the memristor emerges naturally as the fourth element, characterized by a state-dependent Ohm's law. A logical generalization to memristive devices reveals a common fingerprint consisting of a dense continuum of pinched hysteresis loops whose area decreases with the frequency$ \omega$and tends to a straight line as$\omega \rightarrow\infty$, for all bipolar periodic signals and for all initial conditions. This common fingerprint suggests that the term memristor be used henceforth as a moniker for memristive devices.
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Cites
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Memristor—The Missing Circuit Element
Chua, L. (1971) · IEEE Transactions on Circuit Theory · doi:10.1109/tct.1971.1083337 · Cited by 10,268 · cited 3×
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Self-citationNanoscale Memristor Device as Synapse in Neuromorphic Systems
Jo, S. H., Chang, T., Ebong, I., Bhadviya, B. B., Mazumder, P., & Lu, W. (2010) · Nano Letters · doi:10.1021/nl904092h · Cited by 4,174 · cited 1×
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Memristive devices and systems
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Self-citation‘Memristive’ switches enable ‘stateful’ logic operations via material implication
Borghetti, J., Snider, G. S., Kuekes, P. J., Yang, J. J., Stewart, D. R., & Williams, R. S. (2010) · Nature · doi:10.1038/nature08940 · Cited by 1,929
Resistance switching memories are memristors
Chua, L. (2011) · Applied Physics A · doi:10.1007/s00339-011-6264-9 · Cited by 1,434
Self-citationCircuit Elements With Memory: Memristors, Memcapacitors, and Meminductors
Di Ventra, M., Pershin, Y. V., & Chua, L. O. (2009) · Proceedings of the IEEE · doi:10.1109/jproc.2009.2021077 · Cited by 1,212
Self-citationShort-Term Memory to Long-Term Memory Transition in a Nanoscale Memristor
Chang, T., Jo, S.-H., & Lu, W. (2011) · ACS Nano · doi:10.1021/nn202983n · Cited by 1,058 · cited 1×
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Electrochemical metallization memories—fundamentals, applications, prospects
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Cited by
If it's pinched it's a memristor
Chua, L. (2014) · Semiconductor Science and Technology · doi:10.1088/0268-1242/29/10/104001 · Cited by 685
Self-citationThree Fingerprints of Memristor
Adhikari, S. P., Sah, M. P., Kim, H., & Chua, L. O. (2013) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2013.2256171 · Cited by 659
Self-citationEverything You Wish to Know About Memristors But Are Afraid to Ask
Chua, L. (2015) · Radioengineering · doi:10.13164/re.2015.0319 · Cited by 481
Self-citationHidden extreme multistability in memristive hyperchaotic system
Bao, B. C., Bao, H., Wang, N., Chen, M., & Xu, Q. (2017) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2016.11.016 · Cited by 396
HODGKIN–HUXLEY AXON IS MADE OF MEMRISTORS
CHUA, L., SBITNEV, V., & KIM, H. (2012) · International Journal of Bifurcation and Chaos · doi:10.1142/s021812741230011x · Cited by 319
Self-citation
Metadata
- Authors
- Chua, L. O.
- Venue
- Proceedings of the IEEE
- Published
- 2012-06
- Volume
- 100
- Issue
- 6
- Pages
- 1920-1927
- ISSN
- 0018-9219 (ISSN-L)
- 1558-2256
- OpenAlex
- W2079756960
- Cited by
- 284
- References
- 16
- FWCI
- 16.69
- Type
- journal article
- Language
- en
- Open access
- closed
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