Chaos theory (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Chaos theory" in English language version.
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ametsoc.org
journals.ametsoc.org
- Shen, Bo-Wen (2014-05-01). "Nonlinear Feedback in a Five-Dimensional Lorenz Model". Journal of the Atmospheric Sciences. 71 (5): 1701–1723. Bibcode:2014JAtS...71.1701S. doi:10.1175/JAS-D-13-0223.1. ISSN 0022-4928. S2CID 123683839.
archive.org
- Kellert, Stephen H. (1993). In the Wake of Chaos: Unpredictable Order in Dynamical Systems. University of Chicago Press. p. 32. ISBN 978-0-226-42976-2.
- Medio, Alfredo; Lines, Marji (2001). Nonlinear Dynamics: A Primer. Cambridge University Press. p. 165. ISBN 978-0-521-55874-7.
- Watts, Robert G. (2007). Global Warming and the Future of the Earth. Morgan & Claypool. p. 17.
- See also: Mandelbrot, Benoît B.; Hudson, Richard L. (2004). The (Mis)behavior of Markets: A Fractal View of Risk, Ruin, and Reward. New York: Basic Books. p. 201. ISBN 9780465043552.
- Mandelbrot, B. (1982). The Fractal Geometry of Nature. New York: Macmillan. ISBN 978-0716711865.
archive.today
- "The Wolf Prize in Physics in 1986". Archived from the original on 2024-05-25. Retrieved 2008-01-17.
- "Applying Chaos Theory to Embedded Applications". Archived from the original on 9 August 2011.
arxiv.org
- Werndl, Charlotte (2009). "What are the New Implications of Chaos for Unpredictability?". The British Journal for the Philosophy of Science. 60 (1): 195–220. arXiv:1310.1576. doi:10.1093/bjps/axn053. S2CID 354849.
- Ulcigrai, Corinna (2021). "Slow chaos in surface flows". Bollettino dell'Unione Matematica Italiana. 14 (1): 231–255. arXiv:2010.06231. doi:10.1007/s40574-020-00267-0. ISSN 1972-6724.
- Okulov, A Yu (2020). "Structured light entities, chaos and nonlocal maps". Chaos, Solitons & Fractals. 133 (4): 109638. arXiv:1901.09274. Bibcode:2020CSF...13309638O. doi:10.1016/j.chaos.2020.109638. S2CID 118828500.
- Ovchinnikov, I.V. (2024-02-15). "Ubiquitous order known as chaos". Chaos, Solitons & Fractals. 181 (5): 114611. arXiv:2503.17157. Bibcode:2024CSF...18114611O. doi:10.1016/j.chaos.2024.114611. ISSN 0960-0779.
- Bellissard, J.; Bohigas, O.; Casati, G.; Shepelyansky, D.L. (1 July 1999). "A pioneer of chaos". Physica D: Nonlinear Phenomena. 131 (1–4): viii–xv. arXiv:cond-mat/9903412. Bibcode:1999PhyD..131D...8B. doi:10.1016/s0167-2789(99)90007-6. ISSN 0167-2789. S2CID 119107150.
- Motter, A. E.; Campbell, D. K. (2013). "Chaos at fifty". Phys. Today. 66 (5): 27–33. arXiv:1306.5777. Bibcode:2013PhT....66e..27M. doi:10.1063/pt.3.1977. S2CID 54005470.
- Gerig, A. (2007). "Chaos in a one-dimensional compressible flow". Physical Review E. 75 (4): 045202. arXiv:nlin/0701050. Bibcode:2007PhRvE..75d5202G. doi:10.1103/PhysRevE.75.045202. PMID 17500951. S2CID 45804559.
- Liu, Yuansheng; Tang, Jie; Xie, Tao (2014-08-01). "Cryptanalyzing a RGB image encryption algorithm based on DNA encoding and chaos map". Optics & Laser Technology. 60: 111–115. arXiv:1307.4279. Bibcode:2014OptLT..60..111L. doi:10.1016/j.optlastec.2014.01.015. S2CID 18740000.
- Salinas, Abel; Morstatter, Fred (2024-01-01). "The Butterfly Effect of Altering Prompts: How Small Changes and Jailbreaks Affect Large Language Model Performance". arXiv:2401.03729 [cs.CL].
books.google.com
- Lorenz, Edward (1993). The Essence of Chaos. University of Washington Press. ISBN 978-0-295-97514-6.
- Weinberger, David (2019). Everyday Chaos – Technology, Complexity and How We're Thriving in a New World of Possibility. Harvard Business Review Press. ISBN 9781633693968.
- Alligood, Sauer & Yorke 1997 Alligood, K.T.; Sauer, T.; Yorke, J.A. (1997). Chaos: an introduction to dynamical systems. Springer-Verlag. ISBN 978-0-387-94677-1.
- Abraham & Ueda 2000, See Chapters 3 and 4 Abraham, Ralph H.; Ueda, Yoshisuke, eds. (2000). The Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory. World Scientific Series on Nonlinear Science Series A. Vol. 39. World Scientific. Bibcode:2000cagm.book.....A. doi:10.1142/4510. ISBN 978-981-238-647-2.
- Sprott 2003, p. 89 Sprott, Julien Clinton (2003). Chaos and Time-Series Analysis. Oxford University Press. ISBN 978-0-19-850840-3.
britannica.com
- "chaos theory | Definition & Facts". Encyclopedia Britannica. Retrieved 2019-11-24.
creativecommons.org
- Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Cui, Jialin; Faghih-Naini, Sara; Paxson, Wei; Atlas, Robert (2022-07-04). "Three Kinds of Butterfly Effects within Lorenz Models". Encyclopedia. 2 (3): 1250–1259. doi:10.3390/encyclopedia2030084. ISSN 2673-8392.
Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License.
csessex.ac.uk
- Nehmzow, Ulrich; Keith Walker (Dec 2005). "Quantitative description of robot–environment interaction using chaos theory" (PDF). Robotics and Autonomous Systems. 53 (3–4): 177–193. CiteSeerX 10.1.1.105.9178. doi:10.1016/j.robot.2005.09.009. Archived from the original (PDF) on 2017-08-12. Retrieved 2017-10-25.
dictionary.com
- "Definition of chaos | Dictionary.com". www.dictionary.com. Retrieved 2019-11-24.
doi.org
doi.org
- Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Cui, Jialin; Faghih-Naini, Sara; Paxson, Wei; Atlas, Robert (2022-07-04). "Three Kinds of Butterfly Effects within Lorenz Models". Encyclopedia. 2 (3): 1250–1259. doi:10.3390/encyclopedia2030084. ISSN 2673-8392. Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License.
- Werndl, Charlotte (2009). "What are the New Implications of Chaos for Unpredictability?". The British Journal for the Philosophy of Science. 60 (1): 195–220. arXiv:1310.1576. doi:10.1093/bjps/axn053. S2CID 354849.
- Lorenz, Edward N. (1963). "Deterministic non-periodic flow". Journal of the Atmospheric Sciences. 20 (2): 130–141. Bibcode:1963JAtS...20..130L. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2.
- Wisdom, Jack; Sussman, Gerald Jay (1992-07-03). "Chaotic Evolution of the Solar System". Science. 257 (5066): 56–62. Bibcode:1992Sci...257...56S. doi:10.1126/science.257.5066.56. hdl:1721.1/5961. ISSN 1095-9203. PMID 17800710. S2CID 12209977.
- Banks; Brooks; Cairns; Davis; Stacey (1992). "On Devaney's definition of chaos". The American Mathematical Monthly. 99 (4): 332–334. doi:10.1080/00029890.1992.11995856.
- Vellekoop, Michel; Berglund, Raoul (April 1994). "On Intervals, Transitivity = Chaos". The American Mathematical Monthly. 101 (4): 353–5. doi:10.2307/2975629. JSTOR 2975629.
- Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin (2022-05-07). "One Saddle Point and Two Types of Sensitivities within the Lorenz 1963 and 1969 Models". Atmosphere. 13 (5): 753. Bibcode:2022Atmos..13..753S. doi:10.3390/atmos13050753. ISSN 2073-4433.
- Li, T.Y.; Yorke, J.A. (1975). "Period Three Implies Chaos" (PDF). American Mathematical Monthly. 82 (10): 985–92. Bibcode:1975AmMM...82..985L. CiteSeerX 10.1.1.329.5038. doi:10.2307/2318254. JSTOR 2318254. Archived from the original (PDF) on 2009-12-29.
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- Shen, Bo-Wen; Pielke Sr., Roger Pielke; Zeng, Xubin; Cui, Jialin; Faghih-Naini, Sara; Paxson, Wei; Kesarkar, Amit; Zeng, Xiping; Atlas, Robert (2022-11-12). "The Dual Nature of Chaos and Order in the Atmosphere". Atmosphere. 13 (11): 1892. Bibcode:2022Atmos..13.1892S. doi:10.3390/atmos13111892. hdl:10150/673501. ISSN 2073-4433.
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worldcat.org
- Shepelyansky, Dima. Chaos at Fifty Four in 2013. OCLC 859751750.
worldscientific.com
- Musielak, Dora E.; Musielak, Zdzislaw E.; Kennamer, Kenny S. (2005-03-01). "The onset of chaos in nonlinear dynamical systems determined with a new fractal technique". Fractals. 13 (1): 19–31. doi:10.1142/S0218348X0500274X. ISSN 0218-348X.