The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Canonical realization of Chua's circuit family
Abstract
A new canonical piecewise-linear circuit capable of realizing every member of the Chua's circuit family is presented. It contains only six two-terminal elements: five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that (1) it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector fields and (2) it contains the minimum number of circuit elements needed for such a circuit. This circuit is used to prove a theorem that specifies the constraint on the types of eigenvalue patterns associated with a piecewise-linear continuous vector field having three equilibrium points. This theorem has an explicit physical meaning and unifies the corresponding theorem in the work of L.O. Chua et al. (1986) and C.P. Silva and L.O. Chua et al. (1988). Also presented are some computer simulation results for this circuit, including some new attractors that have not been observed before.>
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Citations
Cites
Chua, L., Komuro, M., & Matsumoto, T. (1986) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1986.1085869 · Cited by 1,253
Self-citationMatsumoto, T., Chua, L., & Komuro, M. (1985) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1985.1085791 · Cited by 681
Self-citationWu, S. (1987) · Proceedings of the IEEE · doi:10.1109/proc.1987.13847 · Cited by 64
Cited by
ITOH, M., & CHUA, L. O. (2008) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127408022354 · Cited by 1,020
Self-citationLocalization of hidden Chuaʼs attractors
Leonov, G. A., Kuznetsov, N. V., & Vagaitsev, V. I. (2011) · Physics Letters A · doi:10.1016/j.physleta.2011.04.037 · Cited by 710
Hidden attractor in smooth Chua systems
Leonov, G. A., Kuznetsov, N. V., & Vagaitsev, V. I. (2012) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2012.05.016 · Cited by 531
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
Metadata
- Authors
- Chua, L. O., & Lin, G.-N.
- Venue
- IEEE Transactions on Circuits and Systems
- Published
- 1990-07
- Volume
- 37
- Issue
- 7
- Pages
- 885-902
- ISSN
- 0098-4094 (ISSN-L)
- OpenAlex
- W1964154886
- Cited by
- 345
- References
- 3
- FWCI
- 4.17
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chua, L. O., & Lin, G.-N. (1990). Canonical realization of Chua's circuit family. IEEE Transactions on Circuits and Systems. https://doi.org/10.1109/31.55064
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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