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Localization of Invariant Compacts in Multidimensional Systems with Phase Control
 
PIIS000523100001244-2-1
DOI10.31857/S000523100001244-2
Publication type Article
Status Published
Authors
Aleksandr Gribov 
Affiliation: Bauman State Technical University
Address: Russian Federation, Moscow
Journal nameAvtomatika i Telemekhanika
EditionIssue 8
Pages27-37
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.

 

KeywordsLocalization, phase systems, invariant compacts, chaotic systems
Received30.09.2018
Publication date30.09.2018
Number of characters420
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