Logistic map (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Logistic map" in English language version.

Last modified: 14:29:19, 29 August 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

3019doi.org

2^nd place

2315adsabs.harvard.edu

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2011semanticscholar.org

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75worldcat.org

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73nih.gov

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52hdl.handle.net

66^th place

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22arxiv.org

49^th place

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21aps.org

1,264^th place

951^st place

11tellusjournals.se

low place

11wolfram.com

1,091^st place

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11springer.com

182^nd place

172^nd place

11escholarship.org

1,477^th place

863^rd place

11wisc.edu

891^st place

533^rd place

11univie.ac.at

2,083^rd place

2,828^th place

11archive.org

6^th place

11encyclopediaofmath.org

7,049^th place

5,456^th place

11projecteuclid.org

4,781^st place

3,117^th place

11maxlittle.net

low place

11chaosbook.org

low place

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Lorenz, Edward N. (1964-02-01). "The problem of deducing the climate from the governing equations". Tellus. 16 (1): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893. ISSN 0040-2826.
Tsuchiya, Takashi; Yamagishi, Daisuke (February 11, 1997). "The Complete Bifurcation Diagram for the Logistic Map". Z. Naturforsch. 52a (6–7): 513–516. Bibcode:1997ZNatA..52..513T. doi:10.1515/zna-1997-6-708. S2CID 101491730.
Jeffries, Carson; Pérez, José (1982). "Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator". Physical Review A. 26 (4): 2117–2122. Bibcode:1982PhRvA..26.2117J. doi:10.1103/PhysRevA.26.2117. S2CID 119466337.
Jakobson, M. (1981). "Absolutely continuous invariant measures for one-parameter families of one-dimensional maps". Communications in Mathematical Physics. 81 (1): 39–88. Bibcode:1981CMaPh..81...39J. doi:10.1007/BF01941800. S2CID 119956479.
Lorenz, Edward (1964). "The problem of deducing the climate from the governing equations". Tellus. 16 (February): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893.
Delbourgo, R.; Hart, W.; Kenny, B. G. (1985-01-01). "Dependence of universal constants upon multiplication period in nonlinear maps". Physical Review A. 31 (1): 514–516. Bibcode:1985PhRvA..31..514D. doi:10.1103/PhysRevA.31.514. ISSN 0556-2791. PMID 9895509.
Feigenbaum, Mitchell (1978). "Quantitative universality for a class of nonlinear transformations". Journal of Statistical Physics. 19 (1): 25–52. Bibcode:1978JSP....19...25F. doi:10.1007/BF01020332. S2CID 124498882.
Okulov, A Yu; Oraevskiĭ, A N (1984). "Regular and stochastic self-modulation in a ring laser with nonlinear element". Soviet Journal of Quantum Electronics. 14 (2): 1235–1237. Bibcode:1984QuEle..14.1235O. doi:10.1070/QE1984v014n09ABEH006171.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin (2023-08-12). "The 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models". Atmosphere. 14 (8): 1279. Bibcode:2023Atmos..14.1279S. doi:10.3390/atmos14081279. ISSN 2073-4433.
Okulov, A Yu; Oraevskiĭ, A N (1986). "Space–temporal behavior of a light pulse propagating in a nonlinear nondispersive medium". J. Opt. Soc. Am. B. 3 (5): 741–746. Bibcode:1986JOSAB...3..741O. doi:10.1364/JOSAB.3.000741. S2CID 124347430.
Devaney 1989, p. 27. Devaney, Robert L. (1989). An introduction to Chaotic Dynamical systems (2nd ed.). Addison-Wesley. Bibcode:1989icds.book.....D.
Devaney 1989, p. 2. Devaney, Robert L. (1989). An introduction to Chaotic Dynamical systems (2nd ed.). Addison-Wesley. Bibcode:1989icds.book.....D.
Devaney 1989, p. 50 Devaney, Robert L. (1989). An introduction to Chaotic Dynamical systems (2nd ed.). Addison-Wesley. Bibcode:1989icds.book.....D.
May 1976. May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.
May 1976, formula 2 and 3 May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.

aps.org (Global: 1,264^th place; English: 951^st place)

link.aps.org

Delbourgo, R.; Hart, W.; Kenny, B. G. (1985-01-01). "Dependence of universal constants upon multiplication period in nonlinear maps". Physical Review A. 31 (1): 514–516. Bibcode:1985PhRvA..31..514D. doi:10.1103/PhysRevA.31.514. ISSN 0556-2791. PMID 9895509.

archive.org (Global: 6^th place; English: 6^th place)

Collet, Pierre; Eckmann, Jean-Pierre (1980). Iterated Maps on the Interval as Dynamical Systems. Birkhauser. ISBN 978-3-7643-3026-2.

arxiv.org (Global: 49^th place; English: 31^st place)

Campbell, Trevor; Broderick, Tamara (2017). "Automated scalable Bayesian inference via Hilbert coresets". arXiv:1710.05053 [stat.ML].
Little, M.; Heesch, D. (2004). "Chaotic root-finding for a small class of polynomials" (PDF). Journal of Difference Equations and Applications. 10 (11): 949–953. arXiv:nlin/0407042. doi:10.1080/10236190412331285351. S2CID 122705492.

chaosbook.org (Global: low place; English: low place)

Feigenbaum, M. J. (1976) "Universality in complex discrete dynamics", Los Alamos Theoretical Division Annual Report 1975-1976

doi.org (Global: 2^nd place; English: 2^nd place)

Lorenz, Edward N. (1964-02-01). "The problem of deducing the climate from the governing equations". Tellus. 16 (1): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893. ISSN 0040-2826.
Mandelbrot, Benoit B. (2004). Fractals and Chaos, The Mandelbrot Set and Beyond. pp. 259–267. doi:10.1007/978-1-4757-4017-2. ISBN 978-1-4419-1897-0.
Tsuchiya, Takashi; Yamagishi, Daisuke (February 11, 1997). "The Complete Bifurcation Diagram for the Logistic Map". Z. Naturforsch. 52a (6–7): 513–516. Bibcode:1997ZNatA..52..513T. doi:10.1515/zna-1997-6-708. S2CID 101491730.
Bonet, J.; Martínez-Giménez, F.; Peris, A. (2001). "A Banach space which admits no chaotic operator". Bulletin of the London Mathematical Society. 33 (2): 196–198. doi:10.1112/blms/33.2.196. S2CID 121429354.
Zhang, Cheng (October 2010). "Period three begins". Mathematics Magazine. 83 (4): 295–297. doi:10.4169/002557010x521859. S2CID 123124113.
Bechhoefer, John (1996-04-01). "The Birth of Period 3, Revisited". Mathematics Magazine. 69 (2): 115–118. doi:10.1080/0025570X.1996.11996402. ISSN 0025-570X.
Jeffries, Carson; Pérez, José (1982). "Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator". Physical Review A. 26 (4): 2117–2122. Bibcode:1982PhRvA..26.2117J. doi:10.1103/PhysRevA.26.2117. S2CID 119466337.
Baumol, William J.; Benhabib, Jess (February 1989). "Chaos: Significance, Mechanism, and Economic Applications". Journal of Economic Perspectives. 3 (1): 77–105. doi:10.1257/jep.3.1.77.
Jakobson, M. (1981). "Absolutely continuous invariant measures for one-parameter families of one-dimensional maps". Communications in Mathematical Physics. 81 (1): 39–88. Bibcode:1981CMaPh..81...39J. doi:10.1007/BF01941800. S2CID 119956479.
Schröder, Ernst (1870). "Ueber iterirte Functionen". Mathematische Annalen. 3 (2): 296–322. doi:10.1007/BF01443992. S2CID 116998358.
Little, M.; Heesch, D. (2004). "Chaotic root-finding for a small class of polynomials" (PDF). Journal of Difference Equations and Applications. 10 (11): 949–953. arXiv:nlin/0407042. doi:10.1080/10236190412331285351. S2CID 122705492.
Lorenz, Edward (1964). "The problem of deducing the climate from the governing equations". Tellus. 16 (February): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893.
Delbourgo, R.; Hart, W.; Kenny, B. G. (1985-01-01). "Dependence of universal constants upon multiplication period in nonlinear maps". Physical Review A. 31 (1): 514–516. Bibcode:1985PhRvA..31..514D. doi:10.1103/PhysRevA.31.514. ISSN 0556-2791. PMID 9895509.
Feigenbaum, Mitchell (1978). "Quantitative universality for a class of nonlinear transformations". Journal of Statistical Physics. 19 (1): 25–52. Bibcode:1978JSP....19...25F. doi:10.1007/BF01020332. S2CID 124498882.
Okulov, A Yu; Oraevskiĭ, A N (1984). "Regular and stochastic self-modulation in a ring laser with nonlinear element". Soviet Journal of Quantum Electronics. 14 (2): 1235–1237. Bibcode:1984QuEle..14.1235O. doi:10.1070/QE1984v014n09ABEH006171.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin (2023-08-12). "The 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models". Atmosphere. 14 (8): 1279. Bibcode:2023Atmos..14.1279S. doi:10.3390/atmos14081279. ISSN 2073-4433.
Okulov, A Yu; Oraevskiĭ, A N (1986). "Space–temporal behavior of a light pulse propagating in a nonlinear nondispersive medium". J. Opt. Soc. Am. B. 3 (5): 741–746. Bibcode:1986JOSAB...3..741O. doi:10.1364/JOSAB.3.000741. S2CID 124347430.
May 1976. May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.
May 1976, formula 2 and 3 May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

"Topological transitivity". Encyclopedia of Mathematics.

escholarship.org (Global: 1,477^th place; English: 863^rd place)

Jeffries, Carson; Pérez, José (1982). "Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator". Physical Review A. 26 (4): 2117–2122. Bibcode:1982PhRvA..26.2117J. doi:10.1103/PhysRevA.26.2117. S2CID 119466337.

hdl.handle.net (Global: 66^th place; English: 34^th place)

May 1976. May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.
May 1976, formula 2 and 3 May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.

maxlittle.net (Global: low place; English: low place)

Little, M.; Heesch, D. (2004). "Chaotic root-finding for a small class of polynomials" (PDF). Journal of Difference Equations and Applications. 10 (11): 949–953. arXiv:nlin/0407042. doi:10.1080/10236190412331285351. S2CID 122705492.

nih.gov (Global: 5^th place; English: 5^th place)

pubmed.ncbi.nlm.nih.gov

Delbourgo, R.; Hart, W.; Kenny, B. G. (1985-01-01). "Dependence of universal constants upon multiplication period in nonlinear maps". Physical Review A. 31 (1): 514–516. Bibcode:1985PhRvA..31..514D. doi:10.1103/PhysRevA.31.514. ISSN 0556-2791. PMID 9895509.
May 1976. May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.
May 1976, formula 2 and 3 May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.

projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

Jakobson, M. (1981). "Absolutely continuous invariant measures for one-parameter families of one-dimensional maps". Communications in Mathematical Physics. 81 (1): 39–88. Bibcode:1981CMaPh..81...39J. doi:10.1007/BF01941800. S2CID 119956479.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Tsuchiya, Takashi; Yamagishi, Daisuke (February 11, 1997). "The Complete Bifurcation Diagram for the Logistic Map". Z. Naturforsch. 52a (6–7): 513–516. Bibcode:1997ZNatA..52..513T. doi:10.1515/zna-1997-6-708. S2CID 101491730.
Bonet, J.; Martínez-Giménez, F.; Peris, A. (2001). "A Banach space which admits no chaotic operator". Bulletin of the London Mathematical Society. 33 (2): 196–198. doi:10.1112/blms/33.2.196. S2CID 121429354.
Zhang, Cheng (October 2010). "Period three begins". Mathematics Magazine. 83 (4): 295–297. doi:10.4169/002557010x521859. S2CID 123124113.
Jeffries, Carson; Pérez, José (1982). "Observation of a Pomeau–Manneville intermittent route to chaos in a nonlinear oscillator". Physical Review A. 26 (4): 2117–2122. Bibcode:1982PhRvA..26.2117J. doi:10.1103/PhysRevA.26.2117. S2CID 119466337.
Jakobson, M. (1981). "Absolutely continuous invariant measures for one-parameter families of one-dimensional maps". Communications in Mathematical Physics. 81 (1): 39–88. Bibcode:1981CMaPh..81...39J. doi:10.1007/BF01941800. S2CID 119956479.
Schröder, Ernst (1870). "Ueber iterirte Functionen". Mathematische Annalen. 3 (2): 296–322. doi:10.1007/BF01443992. S2CID 116998358.
Little, M.; Heesch, D. (2004). "Chaotic root-finding for a small class of polynomials" (PDF). Journal of Difference Equations and Applications. 10 (11): 949–953. arXiv:nlin/0407042. doi:10.1080/10236190412331285351. S2CID 122705492.
Feigenbaum, Mitchell (1978). "Quantitative universality for a class of nonlinear transformations". Journal of Statistical Physics. 19 (1): 25–52. Bibcode:1978JSP....19...25F. doi:10.1007/BF01020332. S2CID 124498882.
Okulov, A Yu; Oraevskiĭ, A N (1986). "Space–temporal behavior of a light pulse propagating in a nonlinear nondispersive medium". J. Opt. Soc. Am. B. 3 (5): 741–746. Bibcode:1986JOSAB...3..741O. doi:10.1364/JOSAB.3.000741. S2CID 124347430.
May 1976. May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.
May 1976, formula 2 and 3 May, Robert M. (1976). "Simple mathematical models with very complicated dynamics". Nature. 261 (5560): 459–467. Bibcode:1976Natur.261..459M. doi:10.1038/261459a0. hdl:10338.dmlcz/104555. PMID 934280. S2CID 2243371.

springer.com (Global: 182^nd place; English: 172^nd place)

link.springer.com

Mandelbrot, Benoit B. (2004). Fractals and Chaos, The Mandelbrot Set and Beyond. pp. 259–267. doi:10.1007/978-1-4757-4017-2. ISBN 978-1-4419-1897-0.

tellusjournals.se (Global: low place; English: low place)

a.tellusjournals.se

Lorenz, Edward N. (1964-02-01). "The problem of deducing the climate from the governing equations". Tellus. 16 (1): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893. ISSN 0040-2826.

univie.ac.at (Global: 2,083^rd place; English: 2,828^th place)

mat.univie.ac.at

Teschl, Gerald (2012). Ordinary Differential Equations and Dynamical Systems. Amer. Math Soc. ISBN 978-0-8218-8328-0.

wisc.edu (Global: 891^st place; English: 533^rd place)

sprott.physics.wisc.edu

"Misiurewicz Point of the Logistic Map". sprott.physics.wisc.edu. Retrieved 2023-05-08.

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Logistic Equation". MathWorld.

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Lorenz, Edward N. (1964-02-01). "The problem of deducing the climate from the governing equations". Tellus. 16 (1): 1–11. Bibcode:1964Tell...16....1L. doi:10.3402/tellusa.v16i1.8893. ISSN 0040-2826.
Bechhoefer, John (1996-04-01). "The Birth of Period 3, Revisited". Mathematics Magazine. 69 (2): 115–118. doi:10.1080/0025570X.1996.11996402. ISSN 0025-570X.
Strogatz, Steven (2019). "10.1: Fixed Points and Cobwebs". Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (2nd ed.). Boca Raton. ISBN 978-0-367-09206-1. OCLC 1112373147.{{cite book}}: CS1 maint: location missing publisher (link)
Delbourgo, R.; Hart, W.; Kenny, B. G. (1985-01-01). "Dependence of universal constants upon multiplication period in nonlinear maps". Physical Review A. 31 (1): 514–516. Bibcode:1985PhRvA..31..514D. doi:10.1103/PhysRevA.31.514. ISSN 0556-2791. PMID 9895509.
Shen, Bo-Wen; Pielke, Roger A.; Zeng, Xubin (2023-08-12). "The 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models". Atmosphere. 14 (8): 1279. Bibcode:2023Atmos..14.1279S. doi:10.3390/atmos14081279. ISSN 2073-4433.

Logistic map (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

ui.adsabs.harvard.edu

aps.org (Global: 1,264th place; English: 951st place)

link.aps.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 49th place; English: 31st place)

chaosbook.org (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

encyclopediaofmath.org (Global: 7,049th place; English: 5,456th place)

escholarship.org (Global: 1,477th place; English: 863rd place)

hdl.handle.net (Global: 66th place; English: 34th place)

maxlittle.net (Global: low place; English: low place)

nih.gov (Global: 5th place; English: 5th place)

pubmed.ncbi.nlm.nih.gov

projecteuclid.org (Global: 4,781st place; English: 3,117th place)

semanticscholar.org (Global: 15th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 182nd place; English: 172nd place)

link.springer.com

tellusjournals.se (Global: low place; English: low place)

a.tellusjournals.se

univie.ac.at (Global: 2,083rd place; English: 2,828th place)

mat.univie.ac.at

wisc.edu (Global: 891st place; English: 533rd place)

sprott.physics.wisc.edu

wolfram.com (Global: 1,091st place; English: 1,169th place)

mathworld.wolfram.com

worldcat.org (Global: 4th place; English: 4th place)

search.worldcat.org

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

aps.org (Global: 1,264^th place; English: 951^st place)

archive.org (Global: 6^th place; English: 6^th place)

arxiv.org (Global: 49^th place; English: 31^st place)

doi.org (Global: 2^nd place; English: 2^nd place)

encyclopediaofmath.org (Global: 7,049^th place; English: 5,456^th place)

escholarship.org (Global: 1,477^th place; English: 863^rd place)

hdl.handle.net (Global: 66^th place; English: 34^th place)

nih.gov (Global: 5^th place; English: 5^th place)

projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

springer.com (Global: 182^nd place; English: 172^nd place)

univie.ac.at (Global: 2,083^rd place; English: 2,828^th place)

wisc.edu (Global: 891^st place; English: 533^rd place)

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

worldcat.org (Global: 4^th place; English: 4^th place)