?
Detection of Early Warning Signals for Self-organized Criticality in Cellular Automata
P. 121-133.
Dmitriev A., Sanochkin Y., Kornilov V., , 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
Dmitriev A., Kornilov V., Dmitriev V. 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
Shapoval S., Shapoval B., Shnirman M. G., 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
Vasilii A. Gromov, Yury N. Beschastnov, Korney K. Tomashchuk, PeerJ Computer Science 2023 Vol. 9 No. Article e1254
The paper deals with a generalized relational tensor, a novel discrete model to store information about a time series, and algorithms (1) to construct the model, (2) to generate a time series from the model, and (3) to predict a time series. The algorithms combine the concept of generalized z-vectors with ant colony optimization techniques. ...
Added: January 31, 2023
Pyankov S., Shihov A., Rusakov S. V., , 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
Babkin S. S., I. S. Burmistrov, Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 108 No. 20 Article 205429
Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all 10 symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been extended to boundaries of critical disordered noninteracting systems. Here we study the generalized boundary multifractality in the presence of electron-electron interaction, focusing on the spin ...
Added: January 29, 2024
Kondratyev M., 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
Dmitriev A., Kornilov V., Dmitriev V. 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
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
Dmitriev A., Dmitriev V., Balybin S., , 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
Makarenko A., Krushinsky D., Musienko A. 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
Gromov V., Borisenko E. A., 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
Dmitriev A., Lebedev A., Kornilov V. et al., Complexity 2023 Vol. 2023 Article 3315750
Many real-world systems of various origins are capable of self-organization to the edge of a phase transition, characterized by avalanche-like behavior. Therefore, it is important, by observing the behavior of early warning measures for dynamical series generated by systems, to timely see the early warning signals (precursors) of such self-organization and, if necessary, take preventive ...
Added: January 18, 2024
Martinez-Saito M., Chaos, Solitons and Fractals 2022 Vol. 163 No. 2022 Article 112574
We describe a chain of unidirectionally coupled adaptive excitable elements slowly driven by a stochastic process from one end and open at the other end, as a minimal toy model of unresolved irreducible uncertainty in a system performing inference through a hierarchical model. Threshold potentials adapt slowly to ensure sensitivity without being wasteful. Activity and energy are ...
Added: September 5, 2022
Dmitriev A., Dmitriev V., 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
Петров А. П., Stepantsov M. E., / 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
А.П.Петров, М.Е. Степанцов, 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
Knyazeva H., , 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
Dmitriev A., Dmitriev V., Balybin S., 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
Kalinin N., Shkolnikov M., 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
Dmitriev A., Lebedev A., Kornilov V. et al., Complexity 2022 Vol. 2022 Article 8177307
Critical phenomena in stock exchange are regularly occurring and difficult to predict events, often leading to disastrous consequences. The presented paper is devoted to the search and research of early warning signals of critical transitions in stock exchange based on the results of a multifractal analysis of a series of transactions in shares of public ...
Added: October 28, 2022
Kalinin N., Shkolnikov M., 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
Dmitriev V., Dmitriev A., Maltseva S. V. 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
Relation Tensors for Regular and Chaotic Time Series: between Hidden Markov Models and Deep Learning
Gromov V., Necheporenko A., 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