The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Memristor-Based Chaotic Circuits
Abstract
In this work, we present two memristor based chaotic circuits. These circuits are obtained by replacing the nonlinear resistor in the four element Chua's circuit with a memristor. Hence, these chaotic circuits use only the four basic circuit elements. Moreover, one of these circuits has only one negative element in addition to the nonlinearity. The four element Chua's circuit requires two negative elements in addition to the nonlinearity.
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In the citing paper
“Previously suggested chaotic circuits 19-22 , involving those with memristors 22 , involve several circuit elements.”
From Bistable Nonvolatile Elastic-Membrane Memcapacitor Exhibiting a Chaotic Behavior (2011) · cites this paper as [21]
In the citing paper
“Moreover, the membrane memcapacitor is a passive device in contrast with the active Chua's diode 21 and active memristors 22 used in existing chaotic circuits.”
From Bistable Nonvolatile Elastic-Membrane Memcapacitor Exhibiting a Chaotic Behavior (2011) · cites this paper as [21]
Citations
Cites
Strukov, D. B., Snider, G. S., Stewart, D. R., & Williams, R. S. (2008) · Nature · doi:10.1038/nature06932 · Cited by 11,828
Memristor—The Missing Circuit Element
Chua, L. (1971) · IEEE Transactions on Circuit Theory · doi:10.1109/tct.1971.1083337 · Cited by 10,268 · cited 1×
“The memristor was postulated as the fourth circuit el- ement by Leon O. Chua in 1971 [ 1 ].”
BackgroundDetermining Lyapunov exponents from a time series
Wolf, A., Swift, J. B., Swinney, H. L., & Vastano, J. A. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90011-9 · Cited by 9,499
Ergodic theory of chaos and strange attractors
Eckmann, J., & Ruelle, D. P. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,982
Chua, L. O., Komuro, M., & Matsumoto, T. (1986) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1986.1085869 · Cited by 1,255
Hyper chaos: Laboratory experiment and numerical confirmation
Matsumoto, T., Chua, L. O., & Kobayashi, K. (1986) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1986.1085862 · Cited by 300
Chaos Applications in Telecommunications
(2005) · CRC Press eBooks · doi:10.1201/9780203025314 · Cited by 254
Elwakil, A. S., & Kennedy, M. P. (2001) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.915386 · Cited by 246
A secure communication scheme using projective chaos synchronization
Li, Z., & Xu, D. (2004) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2004.02.019 · Cited by 215
An approach toward higher dimensional hysteresis chaos generators
Saito, T. (1990) · IEEE Transactions on Circuits and Systems · doi:10.1109/31.52733 · Cited by 104
Cited by
Sorted by citations
Memory effects in complex materials and nanoscale systems
Pershin, Y. V., & Di Ventra, M. (2011) · Advances In Physics · doi:10.1080/00018732.2010.544961 · Cited by 823
IMPLEMENTING MEMRISTOR BASED CHAOTIC CIRCUITS
Muthuswamy, B. (2010) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127410026514 · Cited by 607
Self-citationMUTHUSWAMY, B., & CHUA, L. O. (2010) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127410027076 · Cited by 514
Self-citationCompound synchronization of four memristor chaotic oscillator systems and secure communication
Sun, J., Shen, Y., Yin, Q., & Xu, C. (2013) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.4794794 · Cited by 245
A Floating Analog Memristor Emulator Circuit
Sánchez-López, C., Mendoza-López, J., Carrasco-Aguilar, M. A., & Muñiz-Montero, C. (2014) · IEEE Transactions on Circuits & Systems II Express Briefs · doi:10.1109/tcsii.2014.2312806 · Cited by 228
Metadata
- Authors
- Muthuswamy, B., & Kokate, P.
- Venue
- IETE Technical Review
- Publisher
- Medknow
- Published
- 2009
- Volume
- 26
- Issue
- 6
- Pages
- 417
- ISSN
- 0256-4602 (ISSN-L)
- OpenAlex
- W2226597827
- Cited by
- 345
- References
- 15
- Citations by year
- 2026: 14 · 2025: 12 · 2024: 10 · 2023: 11 · 2022: 25 · 2021: 21 · 2020: 19 · 2019: 26 · 2018: 27 · 2017: 29 · 2016: 25 · 2015: 17 · 2014: 33 · 2013: 18 · 2012: 17
- FWCI
- 13.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IETE Technical Review (publishedVersion)
- UC Berkeley (submittedVersion)
- 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 Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Keywords
- memristors, chaotic circuits, Chua's circuit, nonlinear resistors, negative resistance, circuit simplification
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