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Revolution in the Internet: Self-Organized Criticality Theory to Study Protest Movements
Zhukov Dmitry Sergeevich

PhD in History

Associate professor, Derzhavin Tambov State University

of. 316,  33,  Internatsional'naya ul., Tambov, Tambovskaya oblast', Russia, 392000
Другие публикации этого автора

Lyamin Sergey Konstantinovich

PhD in History

Associate professor, Derzhavin Tambov State University

33  Internatsional'naya ul., Tambov, Tambovskaya oblast', Russia, 392000
Другие публикации этого автора



The article gives an example of the way self-organized criticality (SOC) theory can be used to study a number of nonlinear effects in social media, protest movement sharp rises in particular. The authors describe the key ideas of the SOC theory and methods to identify pink noise as a SOC attribute. The research object is an associated total of Facebook communities which lent informational and organizational support to the impeachment of Brazil’s president Dilma Rousseff. Chronological frames of the work is January 2015 – august 2016. It has been shown that net activity of some communities understudy was a pink noise within a number of periods. SOC systems can demonstrate explosive activity increase that is the inner potential of systems for self-destruction and/or qualitative transformation. The protest social network studied had key features to generate informational avalanches – fast and big explosions of information creation, transmission and copying. The authors name facts supporting the idea that SOC advent in the nets is caused by mass street actions (violent as well). One parameter of the numerical series studied is a power law factor which can be indicative for network diagnostics, in particular, for revealing their potential for spontaneous informational avalanches.

Keywords: non-linear effects, self-organized criticality, pink noise, avalanches, protests, Facebook communities, Brazil, Dilma Rousseff, impeachment, social networks



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Akhromeeva T.S., Malinetskii G.G., Mitin N. A., Toropygina S. A. Sinergetika i setevaya real'nost' // Preprinty IPM im. M.V.Keldysha. 2013. № 34. S. 1-34. URL:
Mandelbrot B.B. The Fractal Geometry of Nature. New York: W.H. Freeman and Company, 1982. 470 p.
Bak P. Kak rabotaet priroda: teoriya samoorganizovannoi kritichnosti. M.: URSS, 2013. 276 c.
Malinetskii G.G. Chudo samoorganizovannoi kritichnosti // Bak P. Kak rabotaet priroda: teoriya samoorganizovannoi kritichnosti. M.: URSS, 2013. C. 13-56.
Turcotte D.L. Self-organized criticality // Reports on Progress in Physics. 1999. Vol. 62. № 10. P. 1377-1377.
Turcotte D.L., Rundle J.B. Self-organized complexity in the physical, biological, and social sciences // Proceedings of the National Academy of Sciences. 2002. Vol. 99. № 1. Pp. 2463-2465.
Buchanan M. Ubiquity. The Science of History… or Why the World is Simpler Than We Think. London: Weidenfeld & Nicolson, 2000. 288 p.
Brunk G.G. Self-Organized Criticality: A New Theory of Political Behaviour and Some of Its Implications // British Journal of Political Science. 2001. Vol. 31. № 2. P. 427-445.
Brunk G.G. Why Are So Many Important Events Unpredictable? Self-Organized Criticality as the “Engine of History” // Japanese Journal of Political Science. 2002. Vol. 3. № 1. P. 25-44.
Brunk G.G. Why Do Societies Collapse? A Theory Based on Self-Organized Criticality // Journal of Theoretical Politics. 2002. Vol. 14. № 2. P. 195-230.
Pinto C.M.A., Mendes Lopes A., Machado J.A.T. A review of power laws in real life phenomena // Communications in Nonlinear Science and Numerical Simulation. 2012. Vol. 17. Issue 9. P. 3558-3578.
Andergassen R., Nardini F., Ricottilli M. Innovation Waves, Self-organized Criticality and Technological Convergence // Journal of Economic Behavior & Organization. 2006. Vol. 61. Issue 4. P. 710-728.
Clauset A., Shalizi C., Newman M. Power-Law Distributions in Empirical Data // SIAM Rev. 2009. Vol. 51. Issue 4. P. 661-703.
Frigg R. Self-organised criticality – what it is and what it isn’t // Studies in History and Philosophy of Science Part A. 2003. Vol. 34. Issue 3. P. 613-632.
Mathews M.K., White M.C., Long R.G. Why Study the Complexity Sciences in the Social Sciences? // Human Relations. 1999. Vol. 52. Issue 4. P. 439-462.
Kron T., Grund T. Society as a Self-Organized Critical System // Cybernetics & Human Knowing. 2009. Vol. 16. Issue 1-2. P. 65-82.
Roberts D.C., Turcotte D.L. Fractality and Self-Organized Criticality of Wars // Fractals. 1998. Vol. 6. № 4. P. 351-358.
Cederman L.-E. Modeling the Size of Wars: From Billiard Balls to Sandpiles // American Political Science Review. 2003. Issue 1. P. 135-150.
Biggs M. Strikes as Forest Fires: Chicago and Paris in the Late Nineteenth Century // American Journal of Sociology. 2005. Vol. 110. Issue 6. P. 1684–1714.
Picoli S., Castillo-Mussot M. del, Ribeiro H. V., Lenzi E. K., Mendes R. S. Universal bursty behaviour in human violent conflicts // Scientific Reports. 2014. Vol. 4. P. 1-3.
Shimada I., Koyama T. A theory for complex system’s social change: an application of a general ‘criticality’ model // Interdisciplinary Description of Complex Systems. 2015. Vol. 13. Issue 3. P. 342–353. doi: 10.7906/indecs.13.3.1
Thietart R.-A. Strategy dynamics: Agency, path dependency, and self-organized emergence // Strategic Management Journal. 2016. Vol. 37. Issue 4. P. 774-792.
Sneppen K., Bak P., Flyvbjerg H., Jensen M.H. Evolution as a self-organized critical phenomenon // Proceedings of the National Academy of Sciences. 1995. Vol. 92. Issue 11. P. 5209-5213.
Kurdyumov S.P., Malinetskii G.G., Podlazov A.V. Istoricheskaya dinamika. Vzglyad s pozitsii sinergetiki // Preprinty IPM im. M.V. Keldysha RAN. 2004. № 85. S. 1-16. URL:
Borodkin L.I. Metodologiya analiza neustoichivykh sostoyanii v politiko-istoricheskikh protsessakh // Mezhdunarodnye protsessy. 2005. T.3. №7. S. 4-16.
Borodkin L.I. "Poryadok iz khaosa": kontseptsii sinergetiki v metodologii istoricheskikh issledovanii // Novaya i noveishaya istoriya. 2003. № 2. S. 98-118.
Borodkin L.I. Kontseptsii sinergetiki v issledovaniyakh neustoichivykh istoricheskikh protsessov: sovremennye diskussii // Informatsionnyi byulleten' assotsiatsii Istoriya i komp'yuter. 2008. № 35. S. 28-29.
Zudov N.E. Issledovaniya sotsio-politicheskikh fenomenov sredstvami komp'yuternogo modelirovaniya v TsFM: nekotorye rezul'taty i perspektivy // Fractal Simulation. 2012. № 2. S. 6-10.
Zhukov D.S., Kanishchev V.V., Lyamin S.K. Application of the theory of self-organized criticality to the investigation of historical processes // Sage Open. 2016. Vol. 6. Issue 4. P. 1-10. DOI: 10.1177/2158244016683216. URL:
Zhukov D.S., Kanishchev V.V., Lyamin S.K. Issledovanie intensivnosti krest'yanskikh volnenii v Evropeiskoi Rossii vo vtoroi polovine XIX v. sredstvami teorii samoorganizovannoi kritichnosti // Istoricheskaya informatika. 2017. № 1. S. 38-51. DOI: 10.7256/.2017.1.22145