An equation for continuous chaos
Integrity signals
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The Rössler system typically shows spiral-like structures known as Rössler attractors in their state trajectories.
“The Rössler system typically shows spiral-like structures known as Rössler attractors in their state trajectories.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [20]
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Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
“Rössler system [20]: where x , y , and z are state variables, and a , b , and c are control parameters.”
BackgroundA Bayesian machine scientist to aid in the solution of challenging scientific problems
Guimerà, R., Reichardt, I., Aguilar-Mogas, A., Massucci, F. A., Miranda, M., Pallarès, J., & Sales-Pardo, M. (2020) · Science Advances · doi:10.1126/sciadv.aav6971 · Cited by 136 · see citing works
S-Box Based Image Encryption Application Using a Chaotic System without Equilibrium
Wang, X., Çavuşoğlu, Ü., Kacar, S., Akgul, A., Pham, V.-T., Jafari, S., Alsaadi, F. E., & Nguyen, X. Q. (2019) · Applied Sciences · doi:10.3390/app9040781 · Cited by 125 · see citing works
Amplification of intrinsic fluctuations by chaotic dynamics in physical systems
Fox, R. F., & Keizer, J. (1991) · Physical Review A · doi:10.1103/physreva.43.1709 · Cited by 86 · see citing works
A High Speed IC Truly Random Number Generator Based on Chaotic Sampling of Regular Waveform
ERGÜN, S., GÜLER, Ü., & ASADA, K. (2011) · IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences · doi:10.1587/transfun.e94.a.180 · Cited by 53 · see citing works
- Authors
- Rössler, O. E.
- Affiliations
- University of Tübingen (DE)
- Corresponding author
- Rössler, O.E.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1976-07
- Volume
- 57
- Issue
- 5
- Pages
- 397-398
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W1967008192
- Cited by
- 4,012
- References
- 0
- Citations by year
- 2026: 162 · 2025: 198 · 2024: 157 · 2023: 173 · 2022: 187 · 2021: 200 · 2020: 178 · 2019: 161 · 2018: 198 · 2017: 173 · 2016: 198 · 2015: 191 · 2014: 156 · 2013: 142 · 2012: 132
- FWCI
- 7.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (publishedVersion)
- Physics Letters B
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Keywords
- horseshoe map, Lorenz system, turbulent flow
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.
Statistics and arithmetic are recomputed, not judged.
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