Mathematical Models to Determine Stable Behavior of Complex Systems

The paper analyzes a possibility to predict functioning of a complex dynamic system with a significant amount of circulating information and a large number of random factors impacting its functioning. Functioning of the complex dynamic system is described as a chaotic state, self-organized criticali...

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Veröffentlicht in:	Journal of physics. Conference series 2018-05, Vol.1015 (3), p.32136
Hauptverfasser:	Sumin, V I, Dushkin, A V, Smolentseva, T E
Format:	Artikel
Sprache:	eng
Schlagworte:	bifurcation chaos Chaos theory complex dynamic system Complex systems Dynamical systems Fokker-Planck-Kolmogorov equation fractal dimension Ito integral Lyapunov theory Physics self-organized criticality stochastic integral Stochastic models strange attractor Strange attractors Stratonovich integral
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Beschreibung
Zusammenfassung:	The paper analyzes a possibility to predict functioning of a complex dynamic system with a significant amount of circulating information and a large number of random factors impacting its functioning. Functioning of the complex dynamic system is described as a chaotic state, self-organized criticality and bifurcation. This problem may be resolved by modeling such systems as dynamic ones, without applying stochastic models and taking into account strange attractors.
ISSN:	1742-6588 1742-6596
DOI:	10.1088/1742-6596/1015/3/032136