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COEXISTENCE OF POINT, PERIODIC AND STRANGE ATTRACTORS
Abstract
For a dynamical system described by a set of autonomous ordinary differential equations, an attractor can be a point, a periodic cycle, or even a strange attractor. Recently, a new chaotic system with only one stable equilibrium was described, which locally converges to the stable equilibrium but is globally chaotic. This paper further shows that for certain parameters, besides the point attractor and chaotic attractor, this system also has a coexisting stable limit cycle, demonstrating that this new system is truly complicated and interesting.
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Citations
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CHEN, G., & UETA, T. (1999) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127499001024 · Cited by 2,838
Self-citation
Cited by
Hidden 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 695
Hidden extreme multistability in memristive hyperchaotic system
Bao, B. C., Bao, H., Wang, N., Chen, M., & Xu, Q. (2017) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2016.11.016 · Cited by 396
Leonov, G. A., Kuznetsov, N. V., & Mokaev, T. N. (2015) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2015-02470-3 · Cited by 386
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
Metadata
- Authors
- SPROTT, J. C., WANG, X., & CHEN, G.
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2013-05
- Volume
- 23
- Issue
- 05
- Pages
- 1350093
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2070724789
- Cited by
- 169
- References
- 1
- FWCI
- 11.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- SPROTT, J. C., WANG, X., & CHEN, G. (2013). COEXISTENCE OF POINT, PERIODIC AND STRANGE ATTRACTORS. International Journal of Bifurcation and Chaos. https://doi.org/10.1142/s0218127413500934
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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.
