SIMPLEST CHAOTIC CIRCUIT
Abstract
A chaotic attractor has been observed with an autonomous circuit that uses only two energy-storage elements: a linear passive inductor and a linear passive capacitor. The other element is a nonlinear active memristor. Hence, the circuit has only three circuit elements in series. We discuss this circuit topology, show several attractors and illustrate local activity via the memristor's DC v M - i M characteristic.
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The active memristor described in Example 8.1 has been built and its measured memristance R(x) closely resembles that defined in (30c).
“Indeed, the above active memristor has been built [26] and its measured memristance R ( x ), shown in Fig. 19(b), closely resembles that defined in (30c).”
From Everything You Wish to Know About Memristors But Are Afraid to Ask (2015) · cites this paper as [26]
Cites
Strukov, D. B., Snider, G. S., Stewart, D. R., & Williams, R. S. (2008) · Nature · doi:10.1038/nature06932 · Cited by 11,744 · see citing works
Memristor—The Missing Circuit Element
Chua, L. (1971) · IEEE Transactions on Circuit Theory · doi:10.1109/tct.1971.1083337 · Cited by 10,268 · see citing works
Self-citationMemristive devices and systems
Chua, L. O., & Kang, S. M. (1976) · Proceedings of the IEEE · doi:10.1109/proc.1976.10092 · Cited by 2,604 · see citing works
Self-citationMemristor-Based Chaotic Circuits
Muthuswamy, B., & Kokate, P. (2009) · IETE Technical Review · doi:10.4103/0256-4602.57827 · Cited by 345 · see citing works
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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 · see citing works
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 · see citing works
Self-citationReal time hybrid medical image encryption algorithm combining memristor-based chaos with DNA coding
Demirkol, A. S., Sahin, M. E., Karakaya, B., Ulutas, H., Ascoli, A., & Tetzlaff, R. (2024) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2024.114923 · Cited by 73 · see citing works
MEMRISTIVE CHAOTIC CIRCUITS BASED ON CELLULAR NONLINEAR NETWORKS
BUSCARINO, A., FORTUNA, L., FRASCA, M., GAMBUZZA, L. V., & SCIUTO, G. (2012) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127412500708 · Cited by 68 · see citing works
- Authors
- MUTHUSWAMY, B., & CHUA, L. O.
- Affiliations
- Milwaukee School of Engineering (US)
- University of California, Berkeley (US)
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2010-05
- Volume
- 20
- Issue
- 05
- Pages
- 1567-1580
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W1997394516
- Cited by
- 514
- References
- 4
- Citations by year
- 2026: 11 · 2025: 18 · 2024: 25 · 2023: 20 · 2022: 28 · 2021: 41 · 2020: 50 · 2019: 57 · 2018: 36 · 2017: 35 · 2016: 42 · 2015: 37 · 2014: 39 · 2013: 36 · 2012: 22
- FWCI
- 16.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Bifurcation and Chaos (publishedVersion)
- 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 › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
- Keywords
- chaotic attractors, autonomous circuits, memristors, inductor-capacitor circuit, circuit topology, local activities, energy storage elements
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