Butterfly effect (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Butterfly effect" in English language version.

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pubs.aip.org

Pielke, Roger A.; Shen, Bo-Wen; Zeng, Xubin (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77Q..10P. doi:10.1063/pt.ifge.djjy. ISSN 0031-9228.
Palmer, Tim (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77R..10P. doi:10.1063/pt.oktn.zdwa. ISSN 0031-9228.

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.

ams.org

Rudnick, Ze'ev (January 2008). "What is... Quantum Chaos?" (PDF). Notices of the American Mathematical Society. Archived (PDF) from the original on 2009-10-02.

ap42.com

blog.ap42.com

"The Butterfly Effects: Variations on a Meme". AP42 ...and everything. Archived from the original on 11 November 2011. Retrieved 3 August 2011.

archive.org

Woods, Austin (2005). Medium-range weather prediction: The European approach; The story of the European Centre for Medium-Range Weather Forecasts. New York: Springer. p. 118. ISBN 978-0387269283.
Wolfram, Stephen (2002). A New Kind of Science. Wolfram Media. p. 998. ISBN 978-1579550080.

arxiv.org

Motter, Adilson E.; Campbell, David K. (2013). "Chaos at fifty". Physics Today. 66 (5): 27–33. arXiv:1306.5777. Bibcode:2013PhT....66e..27M. doi:10.1063/PT.3.1977. S2CID 54005470.
Yan, Bin; Sinitsyn, Nikolai A. (2020). "Recovery of Damaged Information and the Out-of-Time-Ordered Correlators". Physical Review Letters. 125 (4): 040605. arXiv:2003.07267. Bibcode:2020PhRvL.125d0605Y. doi:10.1103/PhysRevLett.125.040605. PMID 32794812. S2CID 212725801.
Karkuszewski, Zbyszek P.; Jarzynski, Christopher; Zurek, Wojciech H. (2002). "Quantum Chaotic Environments, the Butterfly Effect, and Decoherence". Physical Review Letters. 89 (17): 170405. arXiv:quant-ph/0111002. Bibcode:2002PhRvL..89q0405K. doi:10.1103/PhysRevLett.89.170405. PMID 12398653. S2CID 33363344.
Poulin, David; Blume-Kohout, Robin; Laflamme, Raymond & Ollivier, Harold (2004). "Exponential Speedup with a Single Bit of Quantum Information: Measuring the Average Fidelity Decay". Physical Review Letters. 92 (17): 177906. arXiv:quant-ph/0310038. Bibcode:2004PhRvL..92q7906P. doi:10.1103/PhysRevLett.92.177906. PMID 15169196. S2CID 6218604.

bbvaopenmind.com

"When Lorenz Discovered the Butterfly Effect". 22 May 2015. Retrieved 23 December 2021.

books.google.com

Steves, Bonnie; Maciejewski, AJ (September 2001). The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems. USA: CRC Press. ISBN 0750308222. Retrieved January 6, 2014.

copernicus.org

egusphere.copernicus.org

Shen, Bo-Wen; Pielke Sr., Roger; Zeng, Xubin (2024-07-24). "Revisiting Lorenz's and Lilly's Empirical Formulas for Predictability Estimates". EGUsphere: 1–0. doi:10.13140/RG.2.2.32941.15849.

creativecommons.org

Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Zeng, Xiping (2023-07-22). "Lorenz's View on the Predictability Limit of the Atmosphere". Encyclopedia. 3 (3): 887–899. doi:10.3390/encyclopedia3030063. ISSN 2673-8392. This article incorporates text from this source, which is available under the CC BY 4.0 license.
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. ISSN 2073-4433. Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License.

doi.org

Lorenz, Edward N. (March 1963). "Deterministic Nonperiodic 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.
Rouvas-Nicolis, Catherine; Nicolis, Gregoire (4 May 2009). "Butterfly effect". Scholarpedia. Vol. 4. p. 1720. Bibcode:2009SchpJ...4.1720R. doi:10.4249/scholarpedia.1720. Archived from the original on 2016-01-02. Retrieved 2016-01-02.
Motter, Adilson E.; Campbell, David K. (2013). "Chaos at fifty". Physics Today. 66 (5): 27–33. arXiv:1306.5777. Bibcode:2013PhT....66e..27M. doi:10.1063/PT.3.1977. S2CID 54005470.
Lorenz, Edward N. (1963). "The Predictability of Hydrodynamic Flow" (PDF). Transactions of the New York Academy of Sciences. 25 (4): 409–432. doi:10.1111/j.2164-0947.1963.tb01464.x. Archived (PDF) from the original on 10 October 2014. Retrieved 1 September 2014.
Orrell, David; Smith, Leonard; Barkmeijer, Jan; Palmer, Tim (2001). "Model error in weather forecasting". Nonlinear Processes in Geophysics. 9 (6): 357–371. Bibcode:2001NPGeo...8..357O. doi:10.5194/npg-8-357-2001.
Orrell, David (2002). "Role of the metric in forecast error growth: How chaotic is the weather?". Tellus. 54A (4): 350–362. Bibcode:2002TellA..54..350O. doi:10.3402/tellusa.v54i4.12159.
Shen, Bo-Wen (2019). "Aggregated Negative Feedback in a Generalized Lorenz Model". International Journal of Bifurcation and Chaos. 29 (3): 1950037–1950091. Bibcode:2019IJBC...2950037S. doi:10.1142/S0218127419500378. S2CID 132494234.
Lorenz, Edward N. (June 1969). "The predictability of a flow which possesses many scales of motion". Tellus. XXI (3): 289–297. Bibcode:1969Tell...21..289L. doi:10.1111/j.2153-3490.1969.tb00444.x.
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.
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.
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.
Shen, Bo-Wen; Pielke Sr., Roger; Zeng, Xubin (2024-07-24). "Revisiting Lorenz's and Lilly's Empirical Formulas for Predictability Estimates". EGUsphere: 1–0. doi:10.13140/RG.2.2.32941.15849.
Saiki, Yoshitaka; Yorke, James A. (2023-05-02). "Can the Flap of a Butterfly's Wings Shift a Tornado into Texas—Without Chaos?". Atmosphere. 14 (5): 821. Bibcode:2023Atmos..14..821S. doi:10.3390/atmos14050821. ISSN 2073-4433.
Pielke Sr., Roger; Shen, Bo-Wen; Zeng, Xubin (2024-05-01). "The Butterfly Effect: Can a butterfly in Brazil cause a tornado in Texas?". Weatherwise. 77 (3): 14–18. doi:10.1080/00431672.2024.2329521.
Palmer, Tim (2024-05-01). "The real butterfly effect and maggoty apples". Physics Today. 77 (5): 30–35. Bibcode:2024PhT....77e..30P. doi:10.1063/pt.eike.hsbz. ISSN 0031-9228.
Pielke, Roger A.; Shen, Bo-Wen; Zeng, Xubin (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77Q..10P. doi:10.1063/pt.ifge.djjy. ISSN 0031-9228.
Palmer, Tim (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77R..10P. doi:10.1063/pt.oktn.zdwa. ISSN 0031-9228.
Shen, Bo-Wen; Pielke, Roger; Xubin Zeng (2024-09-02). "Summary of Two Kinds of Butterfly Effects". Technical Report. doi:10.13140/RG.2.2.32401.24163.
Lighthill, James (1986-09-08). "The recently recognized failure of predictability in Newtonian dynamics". Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 407 (1832): 35–50. Bibcode:1986RSPSA.407...35L. doi:10.1098/rspa.1986.0082. ISSN 0080-4630. S2CID 86552243.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Zeng, Xiping (2023-07-22). "Lorenz's View on the Predictability Limit of the Atmosphere". Encyclopedia. 3 (3): 887–899. doi:10.3390/encyclopedia3030063. ISSN 2673-8392. This article incorporates text from this source, which is available under the CC BY 4.0 license.
The Feasibility of a Global Observation and Analysis Experiment. 1966-01-01. doi:10.17226/21272. ISBN 978-0-309-35922-1.
GARP (1969-03-01). "A Guide to GARP". Bull. Amer. Meteor. Soc. 50 (3): 136–141. Bibcode:1969BAMS...50..136.. doi:10.1175/1520-0477-50.3.136.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Zeng, Xiping (2024-07-16). "Exploring the Origin of the Two-Week Predictability Limit: A Revisit of Lorenz's Predictability Studies in the 1960s". Atmosphere. 15 (7): 837. Bibcode:2024Atmos..15..837S. doi:10.3390/atmos15070837. ISSN 2073-4433.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Baik, Jong-Jin; Faghih-Naini, Sara; Cui, Jialin; Atlas, Robert (2021-01-01). "Is Weather Chaotic?: Coexistence of Chaos and Order within a Generalized Lorenz Model". Bulletin of the American Meteorological Society. 102 (1): E148–E158. Bibcode:2021BAMS..102E.148S. doi:10.1175/BAMS-D-19-0165.1. ISSN 0003-0007. S2CID 208369617.
Shen, Bo-Wen; Pielke, R. A. Sr.; Zeng, X.; Baik, J.-J.; Faghih-Naini, S.; Cui, J.; Atlas, R.; Reyes, T. A. L. (2021). "Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors within Lorenz Models". In Skiadas, Christos H.; Dimotikalis, Yiannis (eds.). 13th Chaotic Modeling and Simulation International Conference. Springer Proceedings in Complexity. Cham: Springer International Publishing. pp. 805–825. doi:10.1007/978-3-030-70795-8_57. ISBN 978-3-030-70795-8. S2CID 245197840.
Anthes, Richard A. (2022-08-14). "Predictability and Predictions". Atmosphere. 13 (8): 1292. Bibcode:2022Atmos..13.1292A. doi:10.3390/atmos13081292. ISSN 2073-4433.
Richter, P. H.; Scholz, H.-J. (1984), "Chaos in Classical Mechanics: The Double Pendulum", Stochastic Phenomena and Chaotic Behaviour in Complex Systems, Springer Series in Synergetics, vol. 21, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 86–97, doi:10.1007/978-3-642-69591-9_9, ISBN 978-3-642-69593-3, retrieved 2022-07-11
Shinbrot, Troy, Celso A Grebogi, Jack Wisdom, James A Yorke (1992). "Chaos in a double pendulum". American Journal of Physics. 60 (6): 491–499. Bibcode:1992AmJPh..60..491S. doi:10.1119/1.16860.{{cite journal}}: CS1 maint: multiple names: authors list (link)
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. ISSN 2073-4433. Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License.
Heller, E. J.; Tomsovic, S. (July 1993). "Postmodern Quantum Mechanics". Physics Today. 46 (7): 38–46. Bibcode:1993PhT....46g..38H. doi:10.1063/1.881358.
Berry, Michael (1989). "Quantum chaology, not quantum chaos". Physica Scripta. 40 (3): 335–336. Bibcode:1989PhyS...40..335B. doi:10.1088/0031-8949/40/3/013. S2CID 250776260.
Gutzwiller, Martin C. (1971). "Periodic Orbits and Classical Quantization Conditions". Journal of Mathematical Physics. 12 (3): 343. Bibcode:1971JMP....12..343G. doi:10.1063/1.1665596.
Gao, J. & Delos, J. B. (1992). "Closed-orbit theory of oscillations in atomic photoabsorption cross sections in a strong electric field. II. Derivation of formulas". Physical Review A. 46 (3): 1455–1467. Bibcode:1992PhRvA..46.1455G. doi:10.1103/PhysRevA.46.1455. PMID 9908268. S2CID 7877923.
Yan, Bin; Sinitsyn, Nikolai A. (2020). "Recovery of Damaged Information and the Out-of-Time-Ordered Correlators". Physical Review Letters. 125 (4): 040605. arXiv:2003.07267. Bibcode:2020PhRvL.125d0605Y. doi:10.1103/PhysRevLett.125.040605. PMID 32794812. S2CID 212725801.
Karkuszewski, Zbyszek P.; Jarzynski, Christopher; Zurek, Wojciech H. (2002). "Quantum Chaotic Environments, the Butterfly Effect, and Decoherence". Physical Review Letters. 89 (17): 170405. arXiv:quant-ph/0111002. Bibcode:2002PhRvL..89q0405K. doi:10.1103/PhysRevLett.89.170405. PMID 12398653. S2CID 33363344.
Poulin, David; Blume-Kohout, Robin; Laflamme, Raymond & Ollivier, Harold (2004). "Exponential Speedup with a Single Bit of Quantum Information: Measuring the Average Fidelity Decay". Physical Review Letters. 92 (17): 177906. arXiv:quant-ph/0310038. Bibcode:2004PhRvL..92q7906P. doi:10.1103/PhysRevLett.92.177906. PMID 15169196. S2CID 6218604.
Lee, Jae-Seung & Khitrin, A. K. (2004). "Quantum amplifier: Measurement with entangled spins". Journal of Chemical Physics. 121 (9): 3949–51. Bibcode:2004JChPh.121.3949L. doi:10.1063/1.1788661. PMID 15332940.

dx.doi.org

Lighthill, James (1986-09-08). "The recently recognized failure of predictability in Newtonian dynamics". Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 407 (1832): 35–50. Bibcode:1986RSPSA.407...35L. doi:10.1098/rspa.1986.0082. ISSN 0080-4630. S2CID 86552243.
The Feasibility of a Global Observation and Analysis Experiment. 1966-01-01. doi:10.17226/21272. ISBN 978-0-309-35922-1.

encyclopedia.pub

Shen, Bo-Wen; Pielke, Sr., Roger; Zeng, Xubin; Zeng, Xiping (2023-09-13). "Lorenz's View on the Predictability Limit". Encyclopedia pub. Retrieved 2023-09-13.

ghostarchive.org

"Predictability: Does the Flap of a Butterfly's Wings in Brazil Set Off a Tornado in Texas?" (PDF). Archived (PDF) from the original on 2022-10-09. Retrieved 23 December 2021.
Tim, Palmer (19 May 2017). "The Butterfly Effect – What Does It Really Signify?". Oxford U. Dept. of Mathematics Youtube Channel. Archived from the original on 2021-10-31. Retrieved 13 February 2019.
Emanuel, Kerry (26 March 2018). "Edward N. Lorenz and the End of the Cartesian Universe". MIT Department of Earth, Atmospheric, and Planetary Sciences Youtube channel. Archived from the original on 2021-10-31. Retrieved 13 February 2019.

harvard.edu

ui.adsabs.harvard.edu

Lorenz, Edward N. (March 1963). "Deterministic Nonperiodic 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.
Rouvas-Nicolis, Catherine; Nicolis, Gregoire (4 May 2009). "Butterfly effect". Scholarpedia. Vol. 4. p. 1720. Bibcode:2009SchpJ...4.1720R. doi:10.4249/scholarpedia.1720. Archived from the original on 2016-01-02. Retrieved 2016-01-02.
Motter, Adilson E.; Campbell, David K. (2013). "Chaos at fifty". Physics Today. 66 (5): 27–33. arXiv:1306.5777. Bibcode:2013PhT....66e..27M. doi:10.1063/PT.3.1977. S2CID 54005470.
Orrell, David; Smith, Leonard; Barkmeijer, Jan; Palmer, Tim (2001). "Model error in weather forecasting". Nonlinear Processes in Geophysics. 9 (6): 357–371. Bibcode:2001NPGeo...8..357O. doi:10.5194/npg-8-357-2001.
Orrell, David (2002). "Role of the metric in forecast error growth: How chaotic is the weather?". Tellus. 54A (4): 350–362. Bibcode:2002TellA..54..350O. doi:10.3402/tellusa.v54i4.12159.
Shen, Bo-Wen (2019). "Aggregated Negative Feedback in a Generalized Lorenz Model". International Journal of Bifurcation and Chaos. 29 (3): 1950037–1950091. Bibcode:2019IJBC...2950037S. doi:10.1142/S0218127419500378. S2CID 132494234.
Lorenz, Edward N. (June 1969). "The predictability of a flow which possesses many scales of motion". Tellus. XXI (3): 289–297. Bibcode:1969Tell...21..289L. doi:10.1111/j.2153-3490.1969.tb00444.x.
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.
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.
Saiki, Yoshitaka; Yorke, James A. (2023-05-02). "Can the Flap of a Butterfly's Wings Shift a Tornado into Texas—Without Chaos?". Atmosphere. 14 (5): 821. Bibcode:2023Atmos..14..821S. doi:10.3390/atmos14050821. ISSN 2073-4433.
Palmer, Tim (2024-05-01). "The real butterfly effect and maggoty apples". Physics Today. 77 (5): 30–35. Bibcode:2024PhT....77e..30P. doi:10.1063/pt.eike.hsbz. ISSN 0031-9228.
Pielke, Roger A.; Shen, Bo-Wen; Zeng, Xubin (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77Q..10P. doi:10.1063/pt.ifge.djjy. ISSN 0031-9228.
Palmer, Tim (2024-09-01). "Butterfly effects". Physics Today. 77 (9): 10. Bibcode:2024PhT....77R..10P. doi:10.1063/pt.oktn.zdwa. ISSN 0031-9228.
Lighthill, James (1986-09-08). "The recently recognized failure of predictability in Newtonian dynamics". Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 407 (1832): 35–50. Bibcode:1986RSPSA.407...35L. doi:10.1098/rspa.1986.0082. ISSN 0080-4630. S2CID 86552243.
GARP (1969-03-01). "A Guide to GARP". Bull. Amer. Meteor. Soc. 50 (3): 136–141. Bibcode:1969BAMS...50..136.. doi:10.1175/1520-0477-50.3.136.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Zeng, Xiping (2024-07-16). "Exploring the Origin of the Two-Week Predictability Limit: A Revisit of Lorenz's Predictability Studies in the 1960s". Atmosphere. 15 (7): 837. Bibcode:2024Atmos..15..837S. doi:10.3390/atmos15070837. ISSN 2073-4433.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin; Baik, Jong-Jin; Faghih-Naini, Sara; Cui, Jialin; Atlas, Robert (2021-01-01). "Is Weather Chaotic?: Coexistence of Chaos and Order within a Generalized Lorenz Model". Bulletin of the American Meteorological Society. 102 (1): E148–E158. Bibcode:2021BAMS..102E.148S. doi:10.1175/BAMS-D-19-0165.1. ISSN 0003-0007. S2CID 208369617.
Anthes, Richard A. (2022-08-14). "Predictability and Predictions". Atmosphere. 13 (8): 1292. Bibcode:2022Atmos..13.1292A. doi:10.3390/atmos13081292. ISSN 2073-4433.
Shinbrot, Troy, Celso A Grebogi, Jack Wisdom, James A Yorke (1992). "Chaos in a double pendulum". American Journal of Physics. 60 (6): 491–499. Bibcode:1992AmJPh..60..491S. doi:10.1119/1.16860.{{cite journal}}: CS1 maint: multiple names: authors list (link)
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. ISSN 2073-4433. Text was copied from this source, which is available under a Creative Commons Attribution 4.0 International License.
Heller, E. J.; Tomsovic, S. (July 1993). "Postmodern Quantum Mechanics". Physics Today. 46 (7): 38–46. Bibcode:1993PhT....46g..38H. doi:10.1063/1.881358.
Berry, Michael (1989). "Quantum chaology, not quantum chaos". Physica Scripta. 40 (3): 335–336. Bibcode:1989PhyS...40..335B. doi:10.1088/0031-8949/40/3/013. S2CID 250776260.
Gutzwiller, Martin C. (1971). "Periodic Orbits and Classical Quantization Conditions". Journal of Mathematical Physics. 12 (3): 343. Bibcode:1971JMP....12..343G. doi:10.1063/1.1665596.
Gao, J. & Delos, J. B. (1992). "Closed-orbit theory of oscillations in atomic photoabsorption cross sections in a strong electric field. II. Derivation of formulas". Physical Review A. 46 (3): 1455–1467. Bibcode:1992PhRvA..46.1455G. doi:10.1103/PhysRevA.46.1455. PMID 9908268. S2CID 7877923.
Yan, Bin; Sinitsyn, Nikolai A. (2020). "Recovery of Damaged Information and the Out-of-Time-Ordered Correlators". Physical Review Letters. 125 (4): 040605. arXiv:2003.07267. Bibcode:2020PhRvL.125d0605Y. doi:10.1103/PhysRevLett.125.040605. PMID 32794812. S2CID 212725801.
Karkuszewski, Zbyszek P.; Jarzynski, Christopher; Zurek, Wojciech H. (2002). "Quantum Chaotic Environments, the Butterfly Effect, and Decoherence". Physical Review Letters. 89 (17): 170405. arXiv:quant-ph/0111002. Bibcode:2002PhRvL..89q0405K. doi:10.1103/PhysRevLett.89.170405. PMID 12398653. S2CID 33363344.
Poulin, David; Blume-Kohout, Robin; Laflamme, Raymond & Ollivier, Harold (2004). "Exponential Speedup with a Single Bit of Quantum Information: Measuring the Average Fidelity Decay". Physical Review Letters. 92 (17): 177906. arXiv:quant-ph/0310038. Bibcode:2004PhRvL..92q7906P. doi:10.1103/PhysRevLett.92.177906. PMID 15169196. S2CID 6218604.
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