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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Previously suggested chaotic circuits involve several circuit elements.
“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]
The membrane memcapacitor is a passive device in contrast with the active Chua's diode and active memristors used in existing chaotic circuits.
“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]
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Abdurahman, A., Jiang, H., & Hu, C. (2017) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2017.08.013 · Cited by 36 · see citing works
First Order Mem-Circuits: Modeling, Nonlinear Oscillations and Bifurcations
Riaza, R. (2012) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2012.2221174 · Cited by 35 · see citing works
A new mix chaotic circuit based on memristor–memcapacitor
Chen, Y., Mou, J., Jahanshahi, H., Wang, Z., & Cao, Y. (2023) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-023-03699-7 · Cited by 34 · see citing works
A Memristor-Based Complex Lorenz System and Its Modified Projective Synchronization
Wang, S., Wang, X., & Zhou, Y. (2015) · Entropy · doi:10.3390/e17117628 · Cited by 34 · see citing works
A unified cubic flux-controlled memristor: theoretical analysis, simulation and circuit experiment
Liu, W., Wang, F., & Ma, X. (2014) · International Journal of Numerical Modelling Electronic Networks Devices and Fields · doi:10.1002/jnm.2009 · Cited by 34 · see citing works
Constructing a Chaotic System with an Infinite Number of Equilibrium Points
Pham, V., Jafari, S., & Kapitaniak, T. (2016) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127416502254 · Cited by 34 · see citing works
Wang, S., Wang, X., Zhou, Y., & Han, B. (2016) · Entropy · doi:10.3390/e18020058 · Cited by 33 · see citing works
A novel memristor-based dynamical system with multi-wing attractors and symmetric periodic bursting.
Chang, H., Li, Y.-X., & Chen, G. (2020) · Chaos · doi:10.1063/1.5129557 · Cited by 26 · see citing works
- 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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