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Nonlinear Dynamical Analysis of Twitter Time Series
Ch. 2. P. 1219–1230.
In book
Vol. 2. , Granada: Godel Impresiones Digitales S.L., 2017.
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
Kondratieva L., Aleksandr Romanov, , in: XXII International Conference on Computational Mechanics and Modern Applied Software Systems (CMMASS'2021).: MATEC Web of Conferences, 2022. Ch. 01011 P. 1–7.
We consider the dynamic properties of a system of three differential equations known as the oreganator model. This model depends on four external parameters and describes one of the periodic Belousov–Zhabotinsky reactions.
We obtain broad conditions for the parameters that ensure the existence of non-stationary steady-state regimes in oregonator model. With classical values of the parameters, ...
Added: September 15, 2022
Springer Nature Switzerland AG, 2019.
Gathering the proceedings of the 11th CHAOS2018 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the ...
Added: October 29, 2021
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
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
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
Dmitriev A., Kornilov V., , in: Journal of Physics: Conference SeriesVol. 1298. Issue 1.: Institute of Physics Publishing (IOP), 2019. P. 012009-1–012009-5.
A new model of a stock market as a nonlinear random dynamical system with additive noise in three-dimensional phase space is offered. Implementations of this model in the adiabatic approximation possess all the key signs of fractal market, making the model a reasonable evolutionary model for a stock market. The use of adiabatic approximation allows ...
Added: October 29, 2019
Kryzhevich S., Eugene Stepanov, Journal of Differential Equations 2019 Vol. 267 No. 6 P. 3442–3474
In a recent paper by D. Burago, S. Ivanov and A. Novikov, "A survival guide for feeble fish", it has been shown that a fish with limited velocity capabilities can reach any point in the (possibly unbounded) ocean provided that the fluid velocity field is incompressible, bounded and has vanishing mean drift. This brilliant result ...
Added: October 8, 2019
Dmitriev A., Kornilov V., Maltseva S. V., Complexity 2018 Vol. 2018 No. Article ID 4732491 P. 1–11
Recent developments in nonlinear science have caused the formation of a new paradigm called the paradigm of complexity. The self-organized criticality theory constitutes the foundation of this paradigm. To estimate the complexity of a microblogging social network, we used one of the conceptual schemes of the paradigm, namely, the system of key signs of complexity ...
Added: November 24, 2018
Dmitriev A., Dmitriev V., Сагайдак О. И. et al., , in: Procedia Computer ScienceVol. 122: 5th International Conference on Information Technology and Quantitative Management.: Elsevier, 2017. P. 354–361.
The present research is devoted to the application of stochastic bifurcation theory to the early detection of economic bubbles. A nonlinear random dynamical system with the possible appearance of stochastic P-bifurcations with a fat-tailed probability density function is deduced. The possibility of application of chaotic bifurcation theory to the early detection of culminations of economic ...
Added: October 3, 2018
Gromov V., Konev A., Neural Computing and Applications 2017 Vol. 28 No. 11 P. 3317–3322
The present paper outlines a novel approach to predict popularity of topics for social network Twitter; the method is designed to identify precociously the topics able to demonstrate “explosive” growth in popularity. First of all, the predictive clustering method ascertains real (not written in hash-tags!) topics of tweets and then predicts popularity rates for the ...
Added: September 27, 2018
Dmitriev V., Dmitriev A., Sagaydak O. S. et al., Procedia Computer Science 2017 Vol. 122 P. 354–361
Added: December 13, 2017
Dmitriev A., Dmitriev V., Tsukanova O. A. et al., , in: Studies in Computational IntelligenceVol. 689: Complex Networks & Their Applications VI.: Springer, 2018. P. 390–400.
Added: November 30, 2017
Dmitriev A., Dmitriev V., Silchev V., WSEAS Transactions on Business and Economics 2017 Vol. 14 No. 33 P. 311–321
This paper proposes a nonlinear dynamical model of stock market. Dynamical variables of the model are the variation of ask and bid price relative to equilibrium values and difference between numbers of market agents in a-state and p-state. A particular market agent being in a-state has maximum amount of valuable information about financial asset and ...
Added: November 24, 2017
Presnova A., Качество. Инновации. Образование 2016 № 2 С. 31–40
In this paper, using the theory of differential games developed the algorithm of constructing guaranteed control for nonlinear systems. Through the transition from the nonlinear model to model the linear form with parameters that depend on the state, will move from finding solutions to equations of Hamilton-Jacobi-Bellman equation to the Riccati equation. Moreover, the appointment ...
Added: May 3, 2016
St. Petersburg: -, 2013.
Nowadays, production control problems has been widely studied and a lot of valuable approaches have been implemented. Some work addresses the problem of tracking the uncertain demand in case of uncertain production speeds. The uncertainties are described by deterministic inequalities and the performance is analyzed in from of the worst-case scenario. First, simple mathematical models ...
Added: September 23, 2013
Afanasiev V., В кн.: Устойчивость и колебания нелинейных систем управления. Тезисы докладов XII международной конференции, 5-8 июня 2012 года, Москва.: М.: Институт проблем управления им. В.А. Трапезникова РАН, 2012. С. 34–36.
The method of synthesis of optimal control problem in differential games for a class of nonlinear systems that can be represented in an equivalent form in the form of systems with parameters depending on the state . Search optimal controls implemented solution matrix algebraic nonlinear equations , which can be done at a pace functioning ...
Added: January 23, 2013