The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Multistability in the Lorenz System: A Broken Butterfly
Abstract
In this paper, the dynamical behavior of the Lorenz system is examined in a previously unexplored region of parameter space, in particular, where r is zero and b is negative. For certain values of the parameters, the classic butterfly attractor is broken into a symmetric pair of strange attractors, or it shrinks into a small attractor basin intermingled with the basins of a symmetric pair of limit cycles, which means that the system is bistable or tristable under certain conditions. Although the resulting system is no longer a plausible model of fluid convection, it may have application to other physical systems.
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Cites
CHEN, G., & UETA, T. (1999) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127499001024 · Cited by 2,838
Cited by
Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria
Lai, Q., Nestor, T., Kengne, J., & Zhao, X.-W. (2018) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2017.12.023 · Cited by 105
Qiu, H., Xu, X., Jiang, Z., Sun, K., & Cao, C. (2023) · Scientific Reports · doi:10.1038/s41598-023-28509-z · Cited by 41
Metadata
- Authors
- Li, C., & Sprott, J. C.
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2014-10
- Volume
- 24
- Issue
- 10
- Pages
- 1450131
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2165180443
- Cited by
- 186
- References
- 1
- FWCI
- 6.81
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
