Lorenz system (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lorenz system" in English language version.

refsWebsite

Global rank English rank

32doi.org

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23harvard.edu

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10worldcat.org

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9semanticscholar.org

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3nih.gov

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3springer.com

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2arxiv.org

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1web.archive.org

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1mit.edu

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1numdam.org

8,650^th place

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1psu.edu

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1copernicus.org

7,281^st place

5,368^th place

1bdtoolbox.org

low place

arxiv.org

Tzenov (2014)^{[citation needed]} Tzenov, Stephan (2014). "Strange Attractors Characterizing the Osmotic Instability". arXiv:1406.0979v1 [physics.flu-dyn].
Leonov et al. (2016) Leonov, G.A.; Kuznetsov, N.V.; Korzhemanova, N.A.; Kusakin, D.V. (2016). "Lyapunov dimension formula for the global attractor of the Lorenz system". Communications in Nonlinear Science and Numerical Simulation. 41: 84–103. arXiv:1508.07498. Bibcode:2016CNSNS..41...84L. doi:10.1016/j.cnsns.2016.04.032. S2CID 119614076.

bdtoolbox.org

Heitmann, S., Breakspear, M (2017-2022) Brain Dynamics Toolbox. bdtoolbox.org doi.org/10.5281/zenodo.5625923

copernicus.org

npg.copernicus.org

Shen, B.-W. (2015-12-21). "Nonlinear feedback in a six-dimensional Lorenz model: impact of an additional heating term". Nonlinear Processes in Geophysics. 22 (6): 749–764. Bibcode:2015NPGeo..22..749S. doi:10.5194/npg-22-749-2015. ISSN 1607-7946.

doi.org

Lorenz (1963) Lorenz, Edward Norton (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.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Knobloch (1981) Knobloch, Edgar (1981). "Chaos in the segmented disc dynamo". Physics Letters A. 82 (9): 439–440. Bibcode:1981PhLA...82..439K. doi:10.1016/0375-9601(81)90274-7.
Gorman, Widmann & Robbins (1986) Gorman, M.; Widmann, P.J.; Robbins, K.A. (1986). "Nonlinear dynamics of a convection loop: A quantitative comparison of experiment with theory". Physica D. 19 (2): 255–267. Bibcode:1986PhyD...19..255G. doi:10.1016/0167-2789(86)90022-9.
Hemati (1994) Hemati, N. (1994). "Strange attractors in brushless DC motors". IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 41 (1): 40–45. doi:10.1109/81.260218. ISSN 1057-7122.
Cuomo & Oppenheim (1993) Cuomo, Kevin M.; Oppenheim, Alan V. (1993). "Circuit implementation of synchronized chaos with applications to communications". Physical Review Letters. 71 (1): 65–68. Bibcode:1993PhRvL..71...65C. doi:10.1103/PhysRevLett.71.65. ISSN 0031-9007. PMID 10054374.
Poland (1993) Poland, Douglas (1993). "Cooperative catalysis and chemical chaos: a chemical model for the Lorenz equations". Physica D. 65 (1): 86–99. Bibcode:1993PhyD...65...86P. doi:10.1016/0167-2789(93)90006-M.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Kolář & Gumbs (1992) Kolář, Miroslav; Gumbs, Godfrey (1992). "Theory for the experimental observation of chaos in a rotating waterwheel". Physical Review A. 45 (2): 626–637. Bibcode:1992PhRvA..45..626K. doi:10.1103/PhysRevA.45.626. PMID 9907027.
Mishra & Sanghi (2006) Mishra, Aashwin; Sanghi, Sanjeev (2006). "A study of the asymmetric Malkus waterwheel: The biased Lorenz equations". Chaos: An Interdisciplinary Journal of Nonlinear Science. 16 (1): 013114. Bibcode:2006Chaos..16a3114M. doi:10.1063/1.2154792. PMID 16599745.
Kuznetsov, N.V.; Mokaev, T.N.; Kuznetsova, O.A.; Kudryashova, E.V. (2020). "The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension". Nonlinear Dynamics. 102 (2): 713–732. doi:10.1007/s11071-020-05856-4.
Grassberger & Procaccia (1983) Grassberger, P.; Procaccia, I. (1983). "Measuring the strangeness of strange attractors". Physica D. 9 (1–2): 189–208. Bibcode:1983PhyD....9..189G. doi:10.1016/0167-2789(83)90298-1.
Leonov et al. (2016) Leonov, G.A.; Kuznetsov, N.V.; Korzhemanova, N.A.; Kusakin, D.V. (2016). "Lyapunov dimension formula for the global attractor of the Lorenz system". Communications in Nonlinear Science and Numerical Simulation. 41: 84–103. arXiv:1508.07498. Bibcode:2016CNSNS..41...84L. doi:10.1016/j.cnsns.2016.04.032. S2CID 119614076.
Guckenheimer, John; Williams, R. F. (1979-12-01). "Structural stability of Lorenz attractors". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 50 (1): 59–72. doi:10.1007/BF02684769. ISSN 0073-8301. S2CID 55218285.
Tucker (2002) Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Shen, Bo-Wen (2019-03-01). "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. ISSN 0218-1274. S2CID 132494234.
Shen, Bo-Wen (2014-04-28). "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.
Lorenz (1963) Lorenz, Edward Norton (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.
Saltzman (1962) Saltzman, Barry (1962). "Finite Amplitude Free Convection as an Initial Value Problem—I". Journal of the Atmospheric Sciences. 19 (4): 329–341. Bibcode:1962JAtS...19..329S. doi:10.1175/1520-0469(1962)019<0329:FAFCAA>2.0.CO;2.
Lorenz (1963) Lorenz, Edward Norton (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.
Lorenz (1963) Lorenz, Edward Norton (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.
Shen, B.-W. (2015-12-21). "Nonlinear feedback in a six-dimensional Lorenz model: impact of an additional heating term". Nonlinear Processes in Geophysics. 22 (6): 749–764. Bibcode:2015NPGeo..22..749S. doi:10.5194/npg-22-749-2015. ISSN 1607-7946.
Ghil, Michael; Read, Peter; Smith, Leonard (2010-07-23). "Geophysical flows as dynamical systems: the influence of Hide's experiments". Astronomy & Geophysics. 51 (4): 4.28–4.35. Bibcode:2010A&G....51d..28G. doi:10.1111/j.1468-4004.2010.51428.x. ISSN 1366-8781.
Shen, Bo-Wen; Pielke, Roger; 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.
Yorke, James A.; Yorke, Ellen D. (1979-09-01). "Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model". Journal of Statistical Physics. 21 (3): 263–277. Bibcode:1979JSP....21..263Y. doi:10.1007/BF01011469. ISSN 1572-9613. S2CID 12172750.
Shen, Bo-Wen; Pielke, R. A.; Zeng, X.; Baik, J.-J.; Faghih-Naini, S.; Cui, J.; Atlas, R.; Reyes, T. A. L. (2021), Skiadas, Christos H.; Dimotikalis, Yiannis (eds.), "Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors within Lorenz Models", 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 978-3-030-70794-1, S2CID 245197840, retrieved 2022-12-22
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.
Viana (2000) Viana, Marcelo (2000). "What's new on Lorenz strange attractors?". The Mathematical Intelligencer. 22 (3): 6–19. doi:10.1007/BF03025276. S2CID 121427433.
Heitmann, S., Breakspear, M (2017-2022) Brain Dynamics Toolbox. bdtoolbox.org doi.org/10.5281/zenodo.5625923

dx.doi.org

Shen, Bo-Wen (2014-04-28). "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.
Ghil, Michael; Read, Peter; Smith, Leonard (2010-07-23). "Geophysical flows as dynamical systems: the influence of Hide's experiments". Astronomy & Geophysics. 51 (4): 4.28–4.35. Bibcode:2010A&G....51d..28G. doi:10.1111/j.1468-4004.2010.51428.x. ISSN 1366-8781.

harvard.edu

ui.adsabs.harvard.edu

Lorenz (1963) Lorenz, Edward Norton (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.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Knobloch (1981) Knobloch, Edgar (1981). "Chaos in the segmented disc dynamo". Physics Letters A. 82 (9): 439–440. Bibcode:1981PhLA...82..439K. doi:10.1016/0375-9601(81)90274-7.
Gorman, Widmann & Robbins (1986) Gorman, M.; Widmann, P.J.; Robbins, K.A. (1986). "Nonlinear dynamics of a convection loop: A quantitative comparison of experiment with theory". Physica D. 19 (2): 255–267. Bibcode:1986PhyD...19..255G. doi:10.1016/0167-2789(86)90022-9.
Cuomo & Oppenheim (1993) Cuomo, Kevin M.; Oppenheim, Alan V. (1993). "Circuit implementation of synchronized chaos with applications to communications". Physical Review Letters. 71 (1): 65–68. Bibcode:1993PhRvL..71...65C. doi:10.1103/PhysRevLett.71.65. ISSN 0031-9007. PMID 10054374.
Poland (1993) Poland, Douglas (1993). "Cooperative catalysis and chemical chaos: a chemical model for the Lorenz equations". Physica D. 65 (1): 86–99. Bibcode:1993PhyD...65...86P. doi:10.1016/0167-2789(93)90006-M.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Haken (1975) Haken, H. (1975). "Analogy between higher instabilities in fluids and lasers". Physics Letters A. 53 (1): 77–78. Bibcode:1975PhLA...53...77H. doi:10.1016/0375-9601(75)90353-9.
Kolář & Gumbs (1992) Kolář, Miroslav; Gumbs, Godfrey (1992). "Theory for the experimental observation of chaos in a rotating waterwheel". Physical Review A. 45 (2): 626–637. Bibcode:1992PhRvA..45..626K. doi:10.1103/PhysRevA.45.626. PMID 9907027.
Mishra & Sanghi (2006) Mishra, Aashwin; Sanghi, Sanjeev (2006). "A study of the asymmetric Malkus waterwheel: The biased Lorenz equations". Chaos: An Interdisciplinary Journal of Nonlinear Science. 16 (1): 013114. Bibcode:2006Chaos..16a3114M. doi:10.1063/1.2154792. PMID 16599745.
Grassberger & Procaccia (1983) Grassberger, P.; Procaccia, I. (1983). "Measuring the strangeness of strange attractors". Physica D. 9 (1–2): 189–208. Bibcode:1983PhyD....9..189G. doi:10.1016/0167-2789(83)90298-1.
Leonov et al. (2016) Leonov, G.A.; Kuznetsov, N.V.; Korzhemanova, N.A.; Kusakin, D.V. (2016). "Lyapunov dimension formula for the global attractor of the Lorenz system". Communications in Nonlinear Science and Numerical Simulation. 41: 84–103. arXiv:1508.07498. Bibcode:2016CNSNS..41...84L. doi:10.1016/j.cnsns.2016.04.032. S2CID 119614076.
Shen, Bo-Wen (2019-03-01). "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. ISSN 0218-1274. S2CID 132494234.
Shen, Bo-Wen (2014-04-28). "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.
Lorenz (1963) Lorenz, Edward Norton (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.
Saltzman (1962) Saltzman, Barry (1962). "Finite Amplitude Free Convection as an Initial Value Problem—I". Journal of the Atmospheric Sciences. 19 (4): 329–341. Bibcode:1962JAtS...19..329S. doi:10.1175/1520-0469(1962)019<0329:FAFCAA>2.0.CO;2.
Lorenz (1963) Lorenz, Edward Norton (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.
Lorenz (1963) Lorenz, Edward Norton (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.
Shen, B.-W. (2015-12-21). "Nonlinear feedback in a six-dimensional Lorenz model: impact of an additional heating term". Nonlinear Processes in Geophysics. 22 (6): 749–764. Bibcode:2015NPGeo..22..749S. doi:10.5194/npg-22-749-2015. ISSN 1607-7946.
Ghil, Michael; Read, Peter; Smith, Leonard (2010-07-23). "Geophysical flows as dynamical systems: the influence of Hide's experiments". Astronomy & Geophysics. 51 (4): 4.28–4.35. Bibcode:2010A&G....51d..28G. doi:10.1111/j.1468-4004.2010.51428.x. ISSN 1366-8781.
Shen, Bo-Wen; Pielke, Roger; 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.
Yorke, James A.; Yorke, Ellen D. (1979-09-01). "Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model". Journal of Statistical Physics. 21 (3): 263–277. Bibcode:1979JSP....21..263Y. doi:10.1007/BF01011469. ISSN 1572-9613. S2CID 12172750.
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.

mit.edu

eaps4.mit.edu

Lorenz (1960) Lorenz, Edward N. (1960). "The statistical prediction of solutions of dynamic equations" (PDF). Symposium on Numerical Weather Prediction in Tokyo. Archived from the original (PDF) on 2019-05-23. Retrieved 2020-09-16.

nih.gov

pubmed.ncbi.nlm.nih.gov

Cuomo & Oppenheim (1993) Cuomo, Kevin M.; Oppenheim, Alan V. (1993). "Circuit implementation of synchronized chaos with applications to communications". Physical Review Letters. 71 (1): 65–68. Bibcode:1993PhRvL..71...65C. doi:10.1103/PhysRevLett.71.65. ISSN 0031-9007. PMID 10054374.
Kolář & Gumbs (1992) Kolář, Miroslav; Gumbs, Godfrey (1992). "Theory for the experimental observation of chaos in a rotating waterwheel". Physical Review A. 45 (2): 626–637. Bibcode:1992PhRvA..45..626K. doi:10.1103/PhysRevA.45.626. PMID 9907027.
Mishra & Sanghi (2006) Mishra, Aashwin; Sanghi, Sanjeev (2006). "A study of the asymmetric Malkus waterwheel: The biased Lorenz equations". Chaos: An Interdisciplinary Journal of Nonlinear Science. 16 (1): 013114. Bibcode:2006Chaos..16a3114M. doi:10.1063/1.2154792. PMID 16599745.

numdam.org

Guckenheimer, John; Williams, R. F. (1979-12-01). "Structural stability of Lorenz attractors". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 50 (1): 59–72. doi:10.1007/BF02684769. ISSN 0073-8301. S2CID 55218285.

psu.edu

citeseerx.ist.psu.edu

Tucker (2002) Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.

semanticscholar.org

api.semanticscholar.org

Leonov et al. (2016) Leonov, G.A.; Kuznetsov, N.V.; Korzhemanova, N.A.; Kusakin, D.V. (2016). "Lyapunov dimension formula for the global attractor of the Lorenz system". Communications in Nonlinear Science and Numerical Simulation. 41: 84–103. arXiv:1508.07498. Bibcode:2016CNSNS..41...84L. doi:10.1016/j.cnsns.2016.04.032. S2CID 119614076.
Guckenheimer, John; Williams, R. F. (1979-12-01). "Structural stability of Lorenz attractors". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 50 (1): 59–72. doi:10.1007/BF02684769. ISSN 0073-8301. S2CID 55218285.
Tucker (2002) Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Shen, Bo-Wen (2019-03-01). "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. ISSN 0218-1274. S2CID 132494234.
Shen, Bo-Wen (2014-04-28). "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.
Yorke, James A.; Yorke, Ellen D. (1979-09-01). "Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model". Journal of Statistical Physics. 21 (3): 263–277. Bibcode:1979JSP....21..263Y. doi:10.1007/BF01011469. ISSN 1572-9613. S2CID 12172750.
Shen, Bo-Wen; Pielke, R. A.; Zeng, X.; Baik, J.-J.; Faghih-Naini, S.; Cui, J.; Atlas, R.; Reyes, T. A. L. (2021), Skiadas, Christos H.; Dimotikalis, Yiannis (eds.), "Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors within Lorenz Models", 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 978-3-030-70794-1, S2CID 245197840, retrieved 2022-12-22
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.
Viana (2000) Viana, Marcelo (2000). "What's new on Lorenz strange attractors?". The Mathematical Intelligencer. 22 (3): 6–19. doi:10.1007/BF03025276. S2CID 121427433.

springer.com

link.springer.com

Tucker (2002) Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Shen, Bo-Wen; Pielke, R. A.; Zeng, X.; Baik, J.-J.; Faghih-Naini, S.; Cui, J.; Atlas, R.; Reyes, T. A. L. (2021), Skiadas, Christos H.; Dimotikalis, Yiannis (eds.), "Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors within Lorenz Models", 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 978-3-030-70794-1, S2CID 245197840, retrieved 2022-12-22

springer.com

Kuznetsov, Nikolay; Reitmann, Volker (2021). Attractor Dimension Estimates for Dynamical Systems: Theory and Computation. Cham: Springer.

web.archive.org

Lorenz (1960) Lorenz, Edward N. (1960). "The statistical prediction of solutions of dynamic equations" (PDF). Symposium on Numerical Weather Prediction in Tokyo. Archived from the original (PDF) on 2019-05-23. Retrieved 2020-09-16.

worldcat.org

search.worldcat.org

Hemati (1994) Hemati, N. (1994). "Strange attractors in brushless DC motors". IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 41 (1): 40–45. doi:10.1109/81.260218. ISSN 1057-7122.
Cuomo & Oppenheim (1993) Cuomo, Kevin M.; Oppenheim, Alan V. (1993). "Circuit implementation of synchronized chaos with applications to communications". Physical Review Letters. 71 (1): 65–68. Bibcode:1993PhRvL..71...65C. doi:10.1103/PhysRevLett.71.65. ISSN 0031-9007. PMID 10054374.
Guckenheimer, John; Williams, R. F. (1979-12-01). "Structural stability of Lorenz attractors". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 50 (1): 59–72. doi:10.1007/BF02684769. ISSN 0073-8301. S2CID 55218285.
Shen, Bo-Wen (2019-03-01). "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. ISSN 0218-1274. S2CID 132494234.
Shen, Bo-Wen (2014-04-28). "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.
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