Topological methods in measurement and research of nonlinear dynamical systems

Kurskoy, Yu. S.; Machekhin, Yu. P.; Gnatenko, A. S.

Публікація:
Topological methods in measurement and research of nonlinear dynamical systems

dc.contributor.author	Kurskoy, Yu. S.
dc.contributor.author	Machekhin, Yu. P.
dc.contributor.author	Gnatenko, A. S.
dc.date.accessioned	2019-05-19T21:24:57Z
dc.date.available	2019-05-19T21:24:57Z
dc.date.issued	2018
dc.description.abstract	The authors substantiate the need to create a special theory of measurement and analysis of measurement results for nonlinear dynamical systems. The theory should be based on the principles of the open systems theory, dynamic chaos theory and synergetics theory. The authors analyzed the main topological methods and tools for studying of nonlinear dynamic systems. The main characteristics of nonlinear dynamical systems (interval values of dynamic variables, strong dependence on initial conditions and noise, complex, often chaotic dynamics, evolution) were systematized. It was proposed the next topological tools for analysis of measurement results in nonlinear dynamical systems: measurement portrait, Shennon entropy, fractal dimension, forecasting time.	uk_UA
dc.identifier.citation	Kurskoy Yu.S. Topological methods in measurement and research of nonlinear dynamical systems . Kurskoy Yu.S. / Machekhin Yu.P., Gnatenko A.S. // Вісник ХНУ. Серія «Фізика». 2018. № 29. С. 22—28.	uk_UA
dc.identifier.issn	2222-5617
dc.identifier.uri	http://openarchive.nure.ua/handle/document/8808
dc.language.iso	en	uk_UA
dc.publisher	ХНУ	uk_UA
dc.subject	dynamical system	uk_UA
dc.subject	topology	uk_UA
dc.subject	chaos;	uk_UA
dc.title	Topological methods in measurement and research of nonlinear dynamical systems	uk_UA
dc.type	Article	uk_UA
dspace.entity.type	Publication