The DOI matches its Crossref record.
Chua's Circuit: A Paradigm for Chaos
Abstract
For uninitiated researchers, engineers, and scientists interested in a quick entry into the subject of chaos, this book offers a timely collection of 55 carefully selected papers covering almost every aspect of this subject. Because Chua's circuit is endowed with virtually every bifurcation phenomena reported in the extensive literature on chaos, and because it is the only chaotic system which can be easily built by a novice, simulated in a personal computer, and tractable mathematically, it has become a paradigm for chaos, and a vehicle for illustrating this ubiquitous phenomenon. Its supreme
Overview
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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 [22]
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 [22]
Citations
Cited by
Sorted by citations
Effects of noise in excitable systems
Lindner, B. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.015 · Cited by 1,482
ITOH, M., & CHUA, L. O. (2008) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127408022354 · Cited by 1,020
Dedieu, H., Kennedy, M. P., & Hasler, M. (1993) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.246164 · Cited by 829
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
“For the most part modified Chua’s oscillators [288,289] were considered [282,283,285,286].”
BackgroundHidden attractors in dynamical systems
Dudkowski, D., Jafari, S., Kapitaniak, T., Kuznetsov, N. V., Leonov, G. A., & Prasad, A. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.05.002 · Cited by 704
“where x, y and z are state variables and α, β, γ,m0 and m1 are constant [47].”
Background
Metadata
- Authors
- Madan, R. N.
- Affiliations
- Office of Naval Research (US)
- Corresponding author
- Madan, Rabinder N
- Venue
- World Scientific Series on Nonlinear Science Series B
- Publisher
- WORLD SCIENTIFIC
- Published
- 1993-11
- ISSN
- 1793-1029 (ISSN-L)
- DOI
- 10.1142/1997
- OpenAlex
- W1599681710
- Cited by
- 602
- References
- 0
- Citations by year
- 2026: 7 · 2025: 3 · 2024: 7 · 2023: 4 · 2022: 7 · 2021: 4 · 2020: 11 · 2019: 14 · 2018: 13 · 2017: 12 · 2016: 13 · 2015: 15 · 2014: 19 · 2013: 16 · 2012: 19
- FWCI
- 6.41
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- World scientific series on nonlinear science, series B (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Keywords
- Chua's circuit, chaos, nonlinear dynamics, bifurcation, chaotic systems, circuit simulation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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