Logistic map (English Wikipedia)

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

refsWebsite

Global rank English rank

19doi.org

2^nd place

15harvard.edu

18^th place

17^th place

11semanticscholar.org

11^th place

8^th place

5worldcat.org

5^th place

3nih.gov

4^th place

2arxiv.org

69^th place

59^th place

2handle.net

102^nd place

76^th place

1tellusjournals.se

low place

1wolfram.com

513^th place

537^th place

1springer.com

274^th place

309^th place

1escholarship.org

1,523^rd place

976^th place

1wisc.edu

1,045^th place

746^th place

1univie.ac.at

2,529^th place

3,277^th place

1archive.org

6^th place

1encyclopediaofmath.org

3,863^rd place

2,637^th place

1projecteuclid.org

3,707^th place

2,409^th place

1maxlittle.net

low place

1aps.org

1,503^rd place

1,378^th place

1chaosbook.org

low place

1psu.edu

207^th place

136^th place

aps.org (Global: 1,503^rd place; English: 1,378^th 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: 69^th place; English: 59^th 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:10.1111/j.2153-3490.1964.tb00136.x. 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. CiteSeerX 10.1.1.418.9339. 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: 3,863^rd place; English: 2,637^th place)

"Topological transitivity". Encyclopedia of Mathematics.

escholarship.org (Global: 1,523^rd place; English: 976^th 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.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

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.

harvard.edu (Global: 18^th place; English: 17^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:10.1111/j.2153-3490.1964.tb00136.x. 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. CiteSeerX 10.1.1.418.9339. 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.

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: 4^th place; English: 4^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: 3,707^th place; English: 2,409^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.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Feigenbaum, Mitchell (1978). "Quantitative universality for a class of nonlinear transformations". Journal of Statistical Physics. 19 (1): 25–52. Bibcode:1978JSP....19...25F. CiteSeerX 10.1.1.418.9339. doi:10.1007/BF01020332. S2CID 124498882.

semanticscholar.org (Global: 11^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. CiteSeerX 10.1.1.418.9339. 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: 274^th place; English: 309^th 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:10.1111/j.2153-3490.1964.tb00136.x. ISSN 0040-2826.

univie.ac.at (Global: 2,529^th place; English: 3,277^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: 1,045^th place; English: 746^th place)

sprott.physics.wisc.edu

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

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

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

worldcat.org (Global: 5^th place; English: 5^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:10.1111/j.2153-3490.1964.tb00136.x. 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)

aps.org (Global: 1,503rd place; English: 1,378th place)

link.aps.org

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

arxiv.org (Global: 69th place; English: 59th place)

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

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

encyclopediaofmath.org (Global: 3,863rd place; English: 2,637th place)

escholarship.org (Global: 1,523rd place; English: 976th place)

handle.net (Global: 102nd place; English: 76th place)

hdl.handle.net

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

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

nih.gov (Global: 4th place; English: 4th place)

pubmed.ncbi.nlm.nih.gov

projecteuclid.org (Global: 3,707th place; English: 2,409th place)

psu.edu (Global: 207th place; English: 136th place)

citeseerx.ist.psu.edu

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

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

a.tellusjournals.se

univie.ac.at (Global: 2,529th place; English: 3,277th place)

mat.univie.ac.at

wisc.edu (Global: 1,045th place; English: 746th place)

sprott.physics.wisc.edu

wolfram.com (Global: 513th place; English: 537th place)

mathworld.wolfram.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

aps.org (Global: 1,503^rd place; English: 1,378^th place)

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

arxiv.org (Global: 69^th place; English: 59^th place)

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

encyclopediaofmath.org (Global: 3,863^rd place; English: 2,637^th place)

escholarship.org (Global: 1,523^rd place; English: 976^th place)

handle.net (Global: 102^nd place; English: 76^th place)

harvard.edu (Global: 18^th place; English: 17^th place)

nih.gov (Global: 4^th place; English: 4^th place)

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

psu.edu (Global: 207^th place; English: 136^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

springer.com (Global: 274^th place; English: 309^th place)

univie.ac.at (Global: 2,529^th place; English: 3,277^th place)

wisc.edu (Global: 1,045^th place; English: 746^th place)

wolfram.com (Global: 513^th place; English: 537^th place)

worldcat.org (Global: 5^th place; English: 5^th place)