The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Oscillator Made of Only One Memristor and One Battery
Abstract
Contrary to the traditional belief that at least two energy-storage elements (capacitor and/or inductor) and a locally-active nonlinearity are needed to build an electronic oscillator, this paper presents an oscillator made with only two circuit elements, namely, a memristor and a battery. This simplest of all physical oscillators also serves as a textbook example for explaining the intimate relationship between the super-critical Hopf bifurcation phenomenon and the edge of chaos.
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A second-order memristor can be modeled as a Generic Memristor.
“Example 5.5 A Second-Order Memristor [15]”
From Everything You Wish to Know About Memristors But Are Afraid to Ask (2015) · cites this paper as [15]
Citations
Cites
Memristive devices and systems
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Self-citationChua, L. O. (1987) · Cited by 1,245
Self-citationIf 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-citationCNN: A Paradigm for Complexity
Chua, L. O. (1998) · World scientific series on nonlinear science, series A · doi:10.1142/9789812798589 · Cited by 650
Self-citationDifferential Dynamical Systems
Meiss, J. D. (2007) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898718232 · Cited by 447
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-citationIntroduction to nonlinear network theory
Kuo, F. F. (1970) · Journal of the Franklin Institute · doi:10.1016/0016-0032(70)90177-8 · Cited by 284
Nonlinear circuit foundations for nanodevices, part I: the four-element torus
Chua, L. O. (2003) · Proceedings of the IEEE · doi:10.1109/jproc.2003.818319 · Cited by 263
Self-citationEdge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
Dogaru, R., & Chua, L. O. (1998) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127498000152 · Cited by 96
Self-citationThayalan, K. (2007) · Jaypee Brothers Medical Publishers (P) Ltd. eBooks · doi:10.5005/jp/books/10101_11 · Cited by 12
Flagged first, then by citations
Research works printed but not linked: 3
- 10.1142/3801 · DOI
- Chua L., 2012, Int. J. Bifurcation and Chaos, 22, 1230011-1
- Chua L., 2012, Int. J. Bifurcation and Chaos, 22, 1250098-1
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Self-citation
Metadata
- Authors
- Sah, M. P., Mannan, Z. I., Kim, H., & Chua, L.
- Affiliations
- University of Notre Dame (US)
- Jeonbuk National University (KR)
- University of California, Berkeley (US)
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2015-03
- Volume
- 25
- Issue
- 03
- Pages
- 1530010
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W1974693664
- Cited by
- 37
- References
- 11
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 5 · 2023: 2 · 2022: 3 · 2021: 3 · 2020: 6 · 2019: 1 · 2018: 5 · 2017: 3 · 2016: 3 · 2015: 2
- FWCI
- 2.73
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Bifurcation and Chaos (publishedVersion)
- Funders
- European Commission
- National Research Foundation of Korea
- Air Force Office of Scientific Research
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Keywords
- electronic oscillators, memristors, batteries, supercritical Hopf bifurcation, edge of chaos, nonlinear dynamics, energy storage elements
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