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Avtomatika i Telemekhanika, 2018, Issue 8, Pages 27–37
(Mi at14809)
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This article is cited in 3 scientific papers (total in 3 papers)
Nonlinear Systems
Localization of invariant compacts in multidimensional systems with phase control
A. F. Gribov Bauman State Technical University, Moscow, Russia
Abstract:
We consider phase systems of order six, four, and three that admit chaotic attractors of various types. We apply a localization method that makes it possible to find regions in the phase space (localizing sets) that contain all attractors of the system. We obtain systems of inequalities that define localizing sets and represent estimates of the amplitudes of established oscillations and chaotic attractors.
Keywords:
localization, phase systems, invariant compacts, chaotic systems.
Citation:
A. F. Gribov, “Localization of invariant compacts in multidimensional systems with phase control”, Avtomat. i Telemekh., 2018, no. 8, 27–37; Autom. Remote Control, 79:8 (2018), 1390–1398
Linking options:
https://www.mathnet.ru/eng/at14809 https://www.mathnet.ru/eng/at/y2018/i8/p27
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Statistics & downloads: |
Abstract page: | 193 | Full-text PDF : | 25 | References: | 23 | First page: | 15 |
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