YET ANOTHER CHAOTIC ATTRACTOR
Open accessAbstract
This Letter reports the finding of a new chaotic at tractor in a simple three-dimensional autonomous system, which resembles some familiar features from both the Lorenz and Rossler at tractors.
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The Chen system has a chaotic attractor and two unstable equilibrium points.
“Moreover, the Chen system has a chaotic attractor and two unstable equilibrium points.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [19]
Section 1, “The New Attractor,” reports a chaotic attractor for the Chen system. It says the system has three equilibria, but does not say that two are unstable. The paper’s copy therefore supports the attractor but not the stated number of unstable equilibrium points. (LLM, conf=0.88)
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References 3 · Cited by 2,838
Research works printed but not linked: 3
- Chen, G. [1997] "Control and anticontrol of chaos," Proceedings of the First International Conference on Control of Oscillations and Chaos, COC'97, Augustb 27-29, 1997, St. Petersburg, Russia, pp. 181-186.
- Chen, G. & D. Lai [1998] "Feedback anticontrol of discrete chaos," International Journal of Bifurcation and Chaos, 8, 1585-1590.
- Wang, X. F. & Chen, G. [1999] "On feedback anticontrol of discrete chaos," International Journal of Bifurcation and Chaos, 9, July 1999, in press.
- Authors
- CHEN, G., & UETA, T.
- Affiliations
- University of Houston (US)
- Tokushima University (JP)
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 1999-07
- Volume
- 09
- Issue
- 07
- Pages
- 1465-1466
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2069436097
- Cited by
- 2,838
- References
- 3
- Citations by year
- 2026: 95 · 2025: 114 · 2024: 90 · 2023: 134 · 2022: 131 · 2021: 150 · 2020: 137 · 2019: 120 · 2018: 140 · 2017: 140 · 2016: 174 · 2015: 153 · 2014: 135 · 2013: 159 · 2012: 124
- FWCI
- 9.71
- Type
- journal article
- Language
- en
- Open access
- Locations
- International Journal of Bifurcation and Chaos (publishedVersion)
- Institutional Repositories DataBase (IRDB) (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
- chaotic attractors, three-dimensional autonomous systems, Lorenz attractor, Rössler attractor, chaotic dynamics
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