Detection of Early Warning Signals for Self-organized Criticality in Cellular Automata
, , , , in: 13th Chaotic Modeling and Simulation International Conference. .: Cham: Springer, 2022..
Detection the precursors of critical transitions in complex systems is one of the most difficult and still unsolved problems. This problem has not received a final solution, not only for real complex systems, but also for model systems capable to self-organize into the critical state. The presented paper is devoted to early detection of time ...
Added: August 13, 2021
, , et al., Frontiers in Physics 2022 Vol. 10 No. 839383 Article 839383
The sandpile cellular automata, despite the simplicity of their basic rules, are adequate mathematical models of real-world systems, primarily open nonlinear systems capable to self-organize into the critical state. Such systems surround us everywhere. Starting from processes at microscopic distances in the human brain and ending with large-scale water flows in the oceans. The detection ...
Added: March 14, 2022
, , et al., Symmetry 2016 Vol. 8 No. 9 P. 1-18
This article is devoted to the application of the cellular automata mathematical apparatus to the problem of continuous optimization. The cellular automaton with an objective function is introduced as a new modification of the classic cellular automaton. The algorithm of continuous optimization, which is based on dynamics of the cellular automaton having the property of ...
Added: September 5, 2019
, , et al., , in: Studies in Computational Intelligence (Complex Networks and Their Applications VIII). * 2. Vol. 881: Complex Networks and Their Applications VIII.: Springer, 2020.. Ch. 881. P. 556-565.
A kinetic model is proposed to describe the self-organized criticality on Twitter. The model is based on a fractional three-parameter self-organization scheme with stochastic sources. It is shown that the adiabatic regime of self- organization to the critical state is determined by the coordinated action of a relatively small number of network users. The model ...
Added: January 9, 2020
, , , Physical Review B: Condensed Matter and Materials Physics 2017 Vol. 96 P. 214204-1-214204-15
We explore the evolution of wave-function statistics on a finite Bethe lattice (Cayley tree) from the central site (“root”) to the boundary (“leaves”). We show that the eigenfunction moments Pq=N⟨|ψ|2q(i)⟩ exhibit a multifractal scaling Pq∝N−τq with the volume (number of sites) N at N→∞. The multifractality spectrum τq depends on the strength of disorder and ...
Added: December 21, 2017
, Вестник Международной академии наук (Русская секция) 2021 № 1 С. 50-57
The article substantiates the prospects of using a holistic approach to maintaining and strengthening human psychosomatic health. The holistic approach is associated here with evidence-based clinical medicine, rather than, as is often the case, with alternative medical practices. The author demonstrates that the holistic approach is closely connected with the systemic vision of the human ...
Added: August 28, 2021
, Компьютерные исследования и моделирование 2013 Т. 5 № 5 С. 863-882
The number of papers addressing the forecasting of the infectious disease morbidity is rapidly growing due to accumulation of available statistical data. This article surveys the major approaches for the short-term and the long-term morbidity forecasting. Their limitations and the practical application possibilities are pointed out. The paper presents the conventional time series analysis methods ...
Added: January 13, 2014
, , et al., , in: 10th International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE) 2021. .: Institute of Physics Publishing (IOP), 2021..
Recently, there has been numerous evidence of the existence of self-organized critical (SOC) transitions in various online social networks (OSN), including Twitter, and various sociophysical models of SOC transitions have been proposed. Despite this, some problems remained unresolved, for example, those related to the determination of the spectral featers of subcritical and supercritical phases of ...
Added: August 13, 2021
Cellular Automata. 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, Ascoli Piceno, Italy, September 21-24, 2010. Proceedings
Без места: [б.и.], 2010
This book constitutes the refereed proceedings of the 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, held in Ascoli Piceno, Italy, in September 2010. The first part of the volume contains 39 revised papers that were carefully reviewed and selected from the main conference; they are organized according to six main ...
Added: July 27, 2012
Relation Tensors for Regular and Chaotic Time Series: between Hidden Markov Models and Deep Learning
, , Expert Systems with Applications 2018
he paper concerns with the problem to create a structure able to store information about a time series and generate a time series using stored information for both markovian and non-markovian processes. For chaotic time series, a difference between characteristics of the initial time series (the Lyapunov spectrum, the auto-correlation function, or the spectrum of the generalized entropies, etc) and ...
Added: October 5, 2018
Forecasting of Snow Cover Melting Rates in Perm Region Based on the Results of Satelite Monitoring Using Cellular Automata Method
, , , , in: Proceeding of the 14 International Multidisciplinary Scientific Geoconference SGEM 2014, Albena,Bulgaria, 17-26 June, 2014. Vol. 1.: Albena: [б.и.], 2014.. P. 601-606.
The paper presents problems, which are connected with satellite monitoring of snowmelt process in the Perm region. It is represented research data of 2011, according to which almost every day only a small part of the observed territory can be identified due to the effect of clouds. It is proposed the algorithm, based on cellular ...
Added: April 8, 2015
, , , Scientific Reports 2021 Vol. 11 Article 18151
A cellular automaton constructed by Bak, Tang, and Wiesenfeld (BTW) in 1987 to explain the 1/f noise was recognized by the community for the theoretical foundations of self-organized criticality (SOC). Their conceptual work gave rise to various scientific areas in statistical physics, mathematics, and applied fields. The BTW core principles are based on steady slow loading ...
Added: September 28, 2021
, , in: SIGMOD/PODS '21: Proceedings of the 2021 International Conference on Management of Data. .: NY: ACM, 2021.. P. 2399-2403.
Array DBMSs manage big N-d arrays, are not yet widely known, but are experiencing an R&D surge due to the rapid growth of array volumes. Cellular automata (CA) operate on a discrete lattice of cells that can be modeled by an N-d array. CA are successfully applied to model fire spread, land cover change, road ...
Added: April 28, 2021
, , , in: Computer Science – Theory and Applications 15th International Computer Science Symposium in Russia, CSR 2020, Yekaterinburg, Russia, June 29 – July 3, 2020, Proceedings. Vol. 12159.: Springer, 2020.. P. 237-249.
We study the algorithmic complexity of solving subtraction games in a fixed dimension with a finite difference set. We prove that there exists a game in this class such that solving the game is (formula presented)-complete and requires time (formula presented), where n is the input size. This bound is optimal up to a polynomial speed-up. The results ...
Added: September 4, 2020
Identification of Self-Organized Critical State on Twitter Based on the Retweets' Time Series Analysis
, , Complexity 2021 Vol. 2021 Article 6612785
There is a number of studies, in which it is established that the observed flows of microposts generated by microblogging social networks (e.g., Twitter) are characterized by avalanche-like behavior. Time series of microposts depicting such streams are the time series with a power-law distribution, with 1/f noise and long memory. Despite this, there are no studies ...
Added: May 31, 2021
, , Дискретная распределенная модификация модели «власть–общество» на основе клеточного автомата / Институт прикладной математики им. М.В. Келдыша Российской академии наук. 2014. № 100.
In this paper we consider construction and primary research of the stochastic cellular automaton based version of the "power-society" model, describing the dynamics of power distribution in a hierarchy. We herein formulate basic principles of the model and present a simulation system for numeric experiments. It is shown that most properties of the deterministic model ...
Added: December 17, 2014
, , Математическое моделирование 2016 Т. 28 № 3 С. 119-132
Настоящая работа посвящена построению и первичному исследованию варианта модели «власть-общество» на основе стохастического клеточного автомата, описывающего динамику распределения власти в иерархии. Сформулированы лежащие в основе модели положения, проведена алгоритмизация и построена имитационная система, позволяющая проводить вычислительные эксперименты с моделью. Показано, что большая часть свойств детерминированной модели, имеющей вид системы дифференциальных уравнений, сохраняется в клеточно-автоматном варианте. ...
Added: October 12, 2017
, , in: WOSC 2021 Book of abstracts. World Organization of Systems and Cybernetics. WOSC Congress 2021. On-line 27. to 30. September 2021. Systems approach and cybernetics, engaging the future of mankind. The significance of systems and cybernetics in the future of societies.. .: OWN, 2021.. Ch. 22. P. 18-18.
The paper is aimed to substantiate the prospects of using a systemic approach to maintaining and strengthening human psychosomatic health in the current period of the coronavirus pandemic. The systemic approach is based on the consideration of the human organism as a complex system or a risky structure in accordance with the conception of self-organized ...
Added: October 18, 2021
Self-Organized Criticality on Twitter: Phenomenological Theory and Empirical Investigation Based on Data Analysis Results
, , , Complexity 2019 Vol. 2019 No. Article ID 8750643 P. 1-16
Recently, there has been an increasing number of empirical evidence supporting the hypothesis that spread of avalanches of microposts on social networks, such as Twitter, is associated with some sociopolitical events. Typical examples of such events are political elections and protest movements. Inspired by this phenomenon, we built a phenomenological model that describes Twitter’s self-organization ...
Added: January 22, 2020
, , Communications in Mathematical Physics 2020 No. 378 P. 1649-1675
Let F: Z^2→Z be the pointwise minimum of several linear functions. The theory of smoothing allows us to prove that under certain conditions there exists the pointwise minimal function among all integer-valued superharmonic functions coinciding with F “at infinity”. We develop such a theory to prove existence of so-called solitons (or strings) in a sandpile model, studied by S. Caracciolo, G. Paoletti, and ...
Added: August 25, 2020
, , Journal of Knot Theory and Its Ramifications 2016 Vol. 25 No. 12 P. 1-12
We study perturbations of the maximal stable state in a sandpile model on the set of faces of the heptagonal tiling on the hyperbolic plane. An explicit description for relaxations of such states is given. ...
Added: October 10, 2017
, , , , in: Proceedings of the Conference on Modeling and Analysis of Complex Systems and Processes 2020 (MACSPro 2020). Vol. 2795.: CEUR Workshop Proceedings, 2020.. Ch. 2795. P. 140-145.
Based on the basic principles of the self-organized criticality theory, we proposed an identifiers of network criticality. The identifiers allow you to determine the subcritical and supercritical phases of Twitter, using only the results of the analysis of the time series of microposts. The most significant result is the existence of two classes of time ...
Added: January 10, 2021
Predictive clustering on non-successive observations for multi-step ahead chaotic time series prediction
, , Neural Computing and Applications 2015 Vol. 26 No. 8 P. 1827-1838
Predictive clustering algorithm based upon modified Wishart clustering technique is applied to predict chaotic time series. Concept of predictable and non-predictable observations is introduced in order to distinguish between reliable and unreliable predictions and, consequently, to enhance an ability to predict up to considerable number of positions ahead. Non-predictable observations are easily ascertained in the ...
Added: September 27, 2018
, , et al., , in: Cellular Automata. 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, Ascoli Piceno, Italy, September 21-24, 2010. Proceedings. .: Без места: [б.и.], 2010.. P. 149-152.
In this paper we deal with mathematical modeling of team sport games based on cellular automata (CA). We describe some developments of CA models of football. Presumable learning and optimization problems in team modeling based on CA are discussed. Some general problems are discussed which are related to the accounting of mentality of game participants. ...
Added: July 27, 2012