Supersymmetric theory of stochastic dynamics (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Supersymmetric theory of stochastic dynamics" in English language version.

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37doi.org

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ams.org

Reulle, D. (2002). "Dynamical Zeta Functions and Transfer Operators" (PDF). Notices of the AMS. 49 (8): 887.

bookstore.ams.org

Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric (2003). Mirror Symmetry. Clay Mathematics Monographs. Vol. 1. American Mathematical Society. ISBN 978-0-8218-2955-4. Retrieved 2025-06-05.

arxiv.org

Dijkgraaf, R.; Orlando, D.; Reffert, S. (2010-01-11). "Relating field theories via stochastic quantization". Nuclear Physics B. 824 (3): 365–386. arXiv:0903.0732. Bibcode:2010NuPhB.824..365D. doi:10.1016/j.nuclphysb.2009.07.018. S2CID 2033425.
Kleinert, H.; Shabanov, S. V. (1997-10-27). "Supersymmetry in stochastic processes with higher-order time derivatives". Physics Letters A. 235 (2): 105–112. arXiv:quant-ph/9705042. Bibcode:1997PhLA..235..105K. doi:10.1016/s0375-9601(97)00660-9. S2CID 119459346.
Mallick, K.; Moshe, M.; Orland, H. (2007-11-13). "Supersymmetry and Nonequilibrium Work Relations". arXiv:0711.2059 [cond-mat.stat-mech].
Tailleur, J.; Tănase-Nicola, S.; Kurchan, J. (2006-02-01). "Kramers Equation and Supersymmetry". Journal of Statistical Physics. 122 (4): 557–595. arXiv:cond-mat/0503545. Bibcode:2006JSP...122..557T. doi:10.1007/s10955-005-8059-x. ISSN 0022-4715. S2CID 119716999.
Mostafazadeh, A. (2002-07-19). "Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries". Journal of Mathematical Physics. 43 (8): 3944–3951. arXiv:math-ph/0203005. Bibcode:2002JMP....43.3944M. doi:10.1063/1.1489072. ISSN 0022-2488. S2CID 7096321.
Ovchinnikov, I. V. (2016-03-28). "Introduction to Supersymmetric Theory of Stochastics". Entropy. 18 (4): 108. arXiv:1511.03393. Bibcode:2016Entrp..18..108O. doi:10.3390/e18040108. S2CID 2388285.
Ovchinnikov, I.V.; Ensslin, T. A. (2016). "Kinematic dynamo, supersymmetry breaking, and chaos". Physical Review D. 93 (8): 085023. arXiv:1512.01651. Bibcode:2016PhRvD..93h5023O. doi:10.1103/PhysRevD.93.085023. S2CID 59367815.
Watkins, N. W.; Pruessner, G.; Chapman, S. C.; Crosby, N. B.; Jensen, H. J. (2016-01-01). "25 Years of Self-organized Criticality: Concepts and Controversies". Space Science Reviews. 198 (1–4): 3–44. arXiv:1504.04991. Bibcode:2016SSRv..198....3W. doi:10.1007/s11214-015-0155-x. ISSN 0038-6308. S2CID 34782655.
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.

books.google.com

A. Bass, Thomas (1999). The Predictors : How a Band of Maverick Physicists Used Chaos Theory to Trade Their Way to a Fortune on Wall Street. Henry Holt and Company. p. 138. ISBN 9780805057560. Retrieved 12 November 2020.
H. Packard, Norman (1988). "Adaptation Toward the Edge of Chaos". University of Illinois at Urbana-Champaign, Center for Complex Systems Research. Retrieved 12 November 2020.

cern.ch

cds.cern.ch

Gozzi, E.; Reuter, M. (1990). "Classical mechanics as a topological field theory". Physics Letters B. 240 (1–2): 137–144. Bibcode:1990PhLB..240..137G. doi:10.1016/0370-2693(90)90422-3.
Birmingham, D; Blau, M.; Rakowski, M.; Thompson, G. (1991). "Topological field theory". Physics Reports. 209 (4–5): 129–340. Bibcode:1991PhR...209..129B. doi:10.1016/0370-1573(91)90117-5.
Nicolai, H. (1980-12-22). "Supersymmetry and functional integration measures". Nuclear Physics B. 176 (2): 419–428. Bibcode:1980NuPhB.176..419N. doi:10.1016/0550-3213(80)90460-5. hdl:11858/00-001M-0000-0013-5E89-E.
Nicolai, H. (1980-01-28). "On a new characterization of scalar supersymmetric theories" (PDF). Physics Letters B. 89 (3): 341–346. Bibcode:1980PhLB...89..341N. doi:10.1016/0370-2693(80)90138-0. hdl:11858/00-001M-0000-0013-5E95-1.

doi.org

Parisi, G. (1982). "Supersymmetric field theories and stochastic differential equations". Nuclear Physics B. 206 (2): 321–332. Bibcode:1982NuPhB.206..321P. doi:10.1016/0550-3213(82)90538-7.
Graham, R. (1988). "Lyapunov Exponents and Supersymmetry of Stochastic Dynamical Systems". EPL. 5 (2): 101–106. Bibcode:1988EL......5..101G. doi:10.1209/0295-5075/5/2/002. ISSN 0295-5075. S2CID 250788554.
Witten, E. (1982). "Supersymmetry and Morse theory". Journal of Differential Geometry. 17 (4): 661–692. doi:10.4310/jdg/1214437492. ISSN 0022-040X.
Ruelle, D. (1990-12-01). "An extension of the theory of Fredholm determinants". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 72 (1): 175–193. doi:10.1007/bf02699133. ISSN 0073-8301. S2CID 121869096.
Uthamacumaran, Abicumaran (2021). "A Review of Dynamical Systems Approaches for the Detection of Chaotic Attractors in Cancer Networks". Patterns. 2 (4): 100226. doi:10.1016/j.patter.2021.100226. PMC 8085613. PMID 33982021. Retrieved 2025-06-05.
Parisi, G.; Sourlas, N. (1979). "Random Magnetic Fields, Supersymmetry, and Negative Dimensions". Physical Review Letters. 43 (11): 744–745. Bibcode:1979PhRvL..43..744P. doi:10.1103/PhysRevLett.43.744.
Aharony, A.; Imry, Y.; Ma, S.K. (1976). "Lowering of dimensionality in phase transitions with random fields". Physical Review Letters. 37 (20): 1364–1367. Bibcode:1976PhRvL..37.1364A. doi:10.1103/PhysRevLett.37.1364.
Cecotti, S; Girardello, L (1983-01-01). "Stochastic and parastochastic aspects of supersymmetric functional measures: A new non-perturbative approach to supersymmetry". Annals of Physics. 145 (1): 81–99. Bibcode:1983AnPhy.145...81C. doi:10.1016/0003-4916(83)90172-0.
Zinn-Justin, J. (1986-09-29). "Renormalization and stochastic quantization". Nuclear Physics B. 275 (1): 135–159. Bibcode:1986NuPhB.275..135Z. doi:10.1016/0550-3213(86)90592-4.
Dijkgraaf, R.; Orlando, D.; Reffert, S. (2010-01-11). "Relating field theories via stochastic quantization". Nuclear Physics B. 824 (3): 365–386. arXiv:0903.0732. Bibcode:2010NuPhB.824..365D. doi:10.1016/j.nuclphysb.2009.07.018. S2CID 2033425.
Kurchan, J. (1992-07-01). "Supersymmetry in spin glass dynamics". Journal de Physique I. 2 (7): 1333–1352. Bibcode:1992JPhy1...2.1333K. doi:10.1051/jp1:1992214. ISSN 1155-4304. S2CID 124073976.
Kleinert, H.; Shabanov, S. V. (1997-10-27). "Supersymmetry in stochastic processes with higher-order time derivatives". Physics Letters A. 235 (2): 105–112. arXiv:quant-ph/9705042. Bibcode:1997PhLA..235..105K. doi:10.1016/s0375-9601(97)00660-9. S2CID 119459346.
Gozzi, E. (1984). "Onsager principle of microscopic reversibility and supersymmetry". Physical Review D. 30 (6): 1218–1227. Bibcode:1984PhRvD..30.1218G. doi:10.1103/physrevd.30.1218.
Bernstein, M. (1984). "Supersymmetry and the Bistable Fokker-Planck Equation". Physical Review Letters. 52 (22): 1933–1935. Bibcode:1984PhRvL..52.1933B. doi:10.1103/physrevlett.52.1933.
Olemskoi, A. I; Khomenko, A. V; Olemskoi, D. A (2004-02-01). "Field theory of self-organization". Physica A: Statistical Mechanics and Its Applications. 332: 185–206. Bibcode:2004PhyA..332..185O. doi:10.1016/j.physa.2003.10.035.
Gozzi, E.; Reuter, M. (1990). "Classical mechanics as a topological field theory". Physics Letters B. 240 (1–2): 137–144. Bibcode:1990PhLB..240..137G. doi:10.1016/0370-2693(90)90422-3.
Niemi, A. J. (1995). "A lower bound for the number of periodic classical trajectories". Physics Letters B. 355 (3–4): 501–506. Bibcode:1995PhLB..355..501N. doi:10.1016/0370-2693(95)00780-o.
Tailleur, J.; Tănase-Nicola, S.; Kurchan, J. (2006-02-01). "Kramers Equation and Supersymmetry". Journal of Statistical Physics. 122 (4): 557–595. arXiv:cond-mat/0503545. Bibcode:2006JSP...122..557T. doi:10.1007/s10955-005-8059-x. ISSN 0022-4715. S2CID 119716999.
Mostafazadeh, A. (2002-07-19). "Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries". Journal of Mathematical Physics. 43 (8): 3944–3951. arXiv:math-ph/0203005. Bibcode:2002JMP....43.3944M. doi:10.1063/1.1489072. ISSN 0022-2488. S2CID 7096321.
Ovchinnikov, I. V. (2016-03-28). "Introduction to Supersymmetric Theory of Stochastics". Entropy. 18 (4): 108. arXiv:1511.03393. Bibcode:2016Entrp..18..108O. doi:10.3390/e18040108. S2CID 2388285.
Baulieu, L.; Grossman, B. (1988). "A topological interpretation of stochastic quantization". Physics Letters B. 212 (3): 351–356. Bibcode:1988PhLB..212..351B. doi:10.1016/0370-2693(88)91328-7.
Birmingham, D; Blau, M.; Rakowski, M.; Thompson, G. (1991). "Topological field theory". Physics Reports. 209 (4–5): 129–340. Bibcode:1991PhR...209..129B. doi:10.1016/0370-1573(91)90117-5.
Witten, E. (1988-09-01). "Topological sigma models". Communications in Mathematical Physics. 118 (3): 411–449. Bibcode:1988CMaPh.118..411W. doi:10.1007/BF01466725. ISSN 0010-3616. S2CID 34042140.
Baulieu, L.; Singer, I.M. (1988). "The topological sigma model". Communications in Mathematical Physics. 125 (2): 227–237. doi:10.1007/BF01217907. S2CID 120150962.
Witten, E. (1988-09-01). "Topological quantum field theory". Communications in Mathematical Physics. 117 (3): 353–386. Bibcode:1988CMaPh.117..353W. doi:10.1007/BF01223371. ISSN 0010-3616. S2CID 43230714.
Labastida, J. M. F. (1989-12-01). "Morse theory interpretation of topological quantum field theories". Communications in Mathematical Physics. 123 (4): 641–658. Bibcode:1989CMaPh.123..641L. CiteSeerX 10.1.1.509.3123. doi:10.1007/BF01218589. ISSN 0010-3616. S2CID 53555484.
Nicolai, H. (1980-12-22). "Supersymmetry and functional integration measures". Nuclear Physics B. 176 (2): 419–428. Bibcode:1980NuPhB.176..419N. doi:10.1016/0550-3213(80)90460-5. hdl:11858/00-001M-0000-0013-5E89-E.
Nicolai, H. (1980-01-28). "On a new characterization of scalar supersymmetric theories" (PDF). Physics Letters B. 89 (3): 341–346. Bibcode:1980PhLB...89..341N. doi:10.1016/0370-2693(80)90138-0. hdl:11858/00-001M-0000-0013-5E95-1.
Slavík, A. (2013). "Generalized differential equations: Differentiability of solutions with respect to initial conditions and parameters". Journal of Mathematical Analysis and Applications. 402 (1): 261–274. doi:10.1016/j.jmaa.2013.01.027.
Ruelle, David (July 1985). "Ergodic theory of chaos and strange attractors". Reviews of Modern Physics. 57 (3): 617–656. Bibcode:1985RvMP...57..617E. doi:10.1103/RevModPhys.57.617.
Ovchinnikov, I.V.; Ensslin, T. A. (2016). "Kinematic dynamo, supersymmetry breaking, and chaos". Physical Review D. 93 (8): 085023. arXiv:1512.01651. Bibcode:2016PhRvD..93h5023O. doi:10.1103/PhysRevD.93.085023. S2CID 59367815.
Brauner, Tomáš (2024). Effective Field Theory for Spontaneously Broken Symmetry. Lecture Notes in Physics. Vol. 1023. Springer. doi:10.1007/978-3-031-48378-3. ISBN 978-3-031-48377-6. Retrieved 2025-06-05.
Langton, Christopher. (1986). "Studying artificial life with cellular automata". Physica D. 22 (1–3): 120–149. Bibcode:1986PhyD...22..120L. doi:10.1016/0167-2789(86)90237-X. hdl:2027.42/26022.
Watkins, N. W.; Pruessner, G.; Chapman, S. C.; Crosby, N. B.; Jensen, H. J. (2016-01-01). "25 Years of Self-organized Criticality: Concepts and Controversies". Space Science Reviews. 198 (1–4): 3–44. arXiv:1504.04991. Bibcode:2016SSRv..198....3W. doi:10.1007/s11214-015-0155-x. ISSN 0038-6308. S2CID 34782655.
Bak, P.; Tang, C.; Wiesenfeld, K. (1987). "Self-organized criticality: An explanation of the 1/f noise". Physical Review Letters. 59 (4): 381–384. Bibcode:1987PhRvL..59..381B. doi:10.1103/PhysRevLett.59.381. PMID 10035754. S2CID 7674321.
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.
Witten, Edward (1988). "Dynamical breaking of supersymmetry". Nuclear Physics B. 188 (3): 513–554. doi:10.1016/0550-3213(81)90006-7.

hal.science

Kurchan, J. (1992-07-01). "Supersymmetry in spin glass dynamics". Journal de Physique I. 2 (7): 1333–1352. Bibcode:1992JPhy1...2.1333K. doi:10.1051/jp1:1992214. ISSN 1155-4304. S2CID 124073976.

handle.net

hdl.handle.net

Nicolai, H. (1980-12-22). "Supersymmetry and functional integration measures". Nuclear Physics B. 176 (2): 419–428. Bibcode:1980NuPhB.176..419N. doi:10.1016/0550-3213(80)90460-5. hdl:11858/00-001M-0000-0013-5E89-E.
Nicolai, H. (1980-01-28). "On a new characterization of scalar supersymmetric theories" (PDF). Physics Letters B. 89 (3): 341–346. Bibcode:1980PhLB...89..341N. doi:10.1016/0370-2693(80)90138-0. hdl:11858/00-001M-0000-0013-5E95-1.
Langton, Christopher. (1986). "Studying artificial life with cellular automata". Physica D. 22 (1–3): 120–149. Bibcode:1986PhyD...22..120L. doi:10.1016/0167-2789(86)90237-X. hdl:2027.42/26022.

harvard.edu

ui.adsabs.harvard.edu

Parisi, G. (1982). "Supersymmetric field theories and stochastic differential equations". Nuclear Physics B. 206 (2): 321–332. Bibcode:1982NuPhB.206..321P. doi:10.1016/0550-3213(82)90538-7.
Graham, R. (1988). "Lyapunov Exponents and Supersymmetry of Stochastic Dynamical Systems". EPL. 5 (2): 101–106. Bibcode:1988EL......5..101G. doi:10.1209/0295-5075/5/2/002. ISSN 0295-5075. S2CID 250788554.
Parisi, G.; Sourlas, N. (1979). "Random Magnetic Fields, Supersymmetry, and Negative Dimensions". Physical Review Letters. 43 (11): 744–745. Bibcode:1979PhRvL..43..744P. doi:10.1103/PhysRevLett.43.744.
Aharony, A.; Imry, Y.; Ma, S.K. (1976). "Lowering of dimensionality in phase transitions with random fields". Physical Review Letters. 37 (20): 1364–1367. Bibcode:1976PhRvL..37.1364A. doi:10.1103/PhysRevLett.37.1364.
Cecotti, S; Girardello, L (1983-01-01). "Stochastic and parastochastic aspects of supersymmetric functional measures: A new non-perturbative approach to supersymmetry". Annals of Physics. 145 (1): 81–99. Bibcode:1983AnPhy.145...81C. doi:10.1016/0003-4916(83)90172-0.
Zinn-Justin, J. (1986-09-29). "Renormalization and stochastic quantization". Nuclear Physics B. 275 (1): 135–159. Bibcode:1986NuPhB.275..135Z. doi:10.1016/0550-3213(86)90592-4.
Dijkgraaf, R.; Orlando, D.; Reffert, S. (2010-01-11). "Relating field theories via stochastic quantization". Nuclear Physics B. 824 (3): 365–386. arXiv:0903.0732. Bibcode:2010NuPhB.824..365D. doi:10.1016/j.nuclphysb.2009.07.018. S2CID 2033425.
Kurchan, J. (1992-07-01). "Supersymmetry in spin glass dynamics". Journal de Physique I. 2 (7): 1333–1352. Bibcode:1992JPhy1...2.1333K. doi:10.1051/jp1:1992214. ISSN 1155-4304. S2CID 124073976.
Kleinert, H.; Shabanov, S. V. (1997-10-27). "Supersymmetry in stochastic processes with higher-order time derivatives". Physics Letters A. 235 (2): 105–112. arXiv:quant-ph/9705042. Bibcode:1997PhLA..235..105K. doi:10.1016/s0375-9601(97)00660-9. S2CID 119459346.
Gozzi, E. (1984). "Onsager principle of microscopic reversibility and supersymmetry". Physical Review D. 30 (6): 1218–1227. Bibcode:1984PhRvD..30.1218G. doi:10.1103/physrevd.30.1218.
Bernstein, M. (1984). "Supersymmetry and the Bistable Fokker-Planck Equation". Physical Review Letters. 52 (22): 1933–1935. Bibcode:1984PhRvL..52.1933B. doi:10.1103/physrevlett.52.1933.
Olemskoi, A. I; Khomenko, A. V; Olemskoi, D. A (2004-02-01). "Field theory of self-organization". Physica A: Statistical Mechanics and Its Applications. 332: 185–206. Bibcode:2004PhyA..332..185O. doi:10.1016/j.physa.2003.10.035.
Gozzi, E.; Reuter, M. (1990). "Classical mechanics as a topological field theory". Physics Letters B. 240 (1–2): 137–144. Bibcode:1990PhLB..240..137G. doi:10.1016/0370-2693(90)90422-3.
Niemi, A. J. (1995). "A lower bound for the number of periodic classical trajectories". Physics Letters B. 355 (3–4): 501–506. Bibcode:1995PhLB..355..501N. doi:10.1016/0370-2693(95)00780-o.
Tailleur, J.; Tănase-Nicola, S.; Kurchan, J. (2006-02-01). "Kramers Equation and Supersymmetry". Journal of Statistical Physics. 122 (4): 557–595. arXiv:cond-mat/0503545. Bibcode:2006JSP...122..557T. doi:10.1007/s10955-005-8059-x. ISSN 0022-4715. S2CID 119716999.
Mostafazadeh, A. (2002-07-19). "Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries". Journal of Mathematical Physics. 43 (8): 3944–3951. arXiv:math-ph/0203005. Bibcode:2002JMP....43.3944M. doi:10.1063/1.1489072. ISSN 0022-2488. S2CID 7096321.
Ovchinnikov, I. V. (2016-03-28). "Introduction to Supersymmetric Theory of Stochastics". Entropy. 18 (4): 108. arXiv:1511.03393. Bibcode:2016Entrp..18..108O. doi:10.3390/e18040108. S2CID 2388285.
Baulieu, L.; Grossman, B. (1988). "A topological interpretation of stochastic quantization". Physics Letters B. 212 (3): 351–356. Bibcode:1988PhLB..212..351B. doi:10.1016/0370-2693(88)91328-7.
Birmingham, D; Blau, M.; Rakowski, M.; Thompson, G. (1991). "Topological field theory". Physics Reports. 209 (4–5): 129–340. Bibcode:1991PhR...209..129B. doi:10.1016/0370-1573(91)90117-5.
Witten, E. (1988-09-01). "Topological sigma models". Communications in Mathematical Physics. 118 (3): 411–449. Bibcode:1988CMaPh.118..411W. doi:10.1007/BF01466725. ISSN 0010-3616. S2CID 34042140.
Witten, E. (1988-09-01). "Topological quantum field theory". Communications in Mathematical Physics. 117 (3): 353–386. Bibcode:1988CMaPh.117..353W. doi:10.1007/BF01223371. ISSN 0010-3616. S2CID 43230714.
Labastida, J. M. F. (1989-12-01). "Morse theory interpretation of topological quantum field theories". Communications in Mathematical Physics. 123 (4): 641–658. Bibcode:1989CMaPh.123..641L. CiteSeerX 10.1.1.509.3123. doi:10.1007/BF01218589. ISSN 0010-3616. S2CID 53555484.
Nicolai, H. (1980-12-22). "Supersymmetry and functional integration measures". Nuclear Physics B. 176 (2): 419–428. Bibcode:1980NuPhB.176..419N. doi:10.1016/0550-3213(80)90460-5. hdl:11858/00-001M-0000-0013-5E89-E.
Nicolai, H. (1980-01-28). "On a new characterization of scalar supersymmetric theories" (PDF). Physics Letters B. 89 (3): 341–346. Bibcode:1980PhLB...89..341N. doi:10.1016/0370-2693(80)90138-0. hdl:11858/00-001M-0000-0013-5E95-1.
Ruelle, David (July 1985). "Ergodic theory of chaos and strange attractors". Reviews of Modern Physics. 57 (3): 617–656. Bibcode:1985RvMP...57..617E. doi:10.1103/RevModPhys.57.617.
Ovchinnikov, I.V.; Ensslin, T. A. (2016). "Kinematic dynamo, supersymmetry breaking, and chaos". Physical Review D. 93 (8): 085023. arXiv:1512.01651. Bibcode:2016PhRvD..93h5023O. doi:10.1103/PhysRevD.93.085023. S2CID 59367815.
Aschwanden, Markus (2011). Self-Organized Criticality in Astrophysics. Springer. Bibcode:2011soca.book.....A.
Langton, Christopher. (1986). "Studying artificial life with cellular automata". Physica D. 22 (1–3): 120–149. Bibcode:1986PhyD...22..120L. doi:10.1016/0167-2789(86)90237-X. hdl:2027.42/26022.
Watkins, N. W.; Pruessner, G.; Chapman, S. C.; Crosby, N. B.; Jensen, H. J. (2016-01-01). "25 Years of Self-organized Criticality: Concepts and Controversies". Space Science Reviews. 198 (1–4): 3–44. arXiv:1504.04991. Bibcode:2016SSRv..198....3W. doi:10.1007/s11214-015-0155-x. ISSN 0038-6308. S2CID 34782655.
Bak, P.; Tang, C.; Wiesenfeld, K. (1987). "Self-organized criticality: An explanation of the 1/f noise". Physical Review Letters. 59 (4): 381–384. Bibcode:1987PhRvL..59..381B. doi:10.1103/PhysRevLett.59.381. PMID 10035754. S2CID 7674321.
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.

nih.gov

pubmed.ncbi.nlm.nih.gov

Uthamacumaran, Abicumaran (2021). "A Review of Dynamical Systems Approaches for the Detection of Chaotic Attractors in Cancer Networks". Patterns. 2 (4): 100226. doi:10.1016/j.patter.2021.100226. PMC 8085613. PMID 33982021. Retrieved 2025-06-05.
Bak, P.; Tang, C.; Wiesenfeld, K. (1987). "Self-organized criticality: An explanation of the 1/f noise". Physical Review Letters. 59 (4): 381–384. Bibcode:1987PhRvL..59..381B. doi:10.1103/PhysRevLett.59.381. PMID 10035754. S2CID 7674321.

ncbi.nlm.nih.gov

Uthamacumaran, Abicumaran (2021). "A Review of Dynamical Systems Approaches for the Detection of Chaotic Attractors in Cancer Networks". Patterns. 2 (4): 100226. doi:10.1016/j.patter.2021.100226. PMC 8085613. PMID 33982021. Retrieved 2025-06-05.

numdam.org

Ruelle, D. (1990-12-01). "An extension of the theory of Fredholm determinants". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 72 (1): 175–193. doi:10.1007/bf02699133. ISSN 0073-8301. S2CID 121869096.

projecteuclid.org

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Watkins, N. W.; Pruessner, G.; Chapman, S. C.; Crosby, N. B.; Jensen, H. J. (2016-01-01). "25 Years of Self-organized Criticality: Concepts and Controversies". Space Science Reviews. 198 (1–4): 3–44. arXiv:1504.04991. Bibcode:2016SSRv..198....3W. doi:10.1007/s11214-015-0155-x. ISSN 0038-6308. S2CID 34782655.
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.