Localization of invariant compacts of a phase-lock system


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Abstract

The localization method, which makes it possible to find regions in the phase space that contain all attractors of the system is used to analyze a phase system. Systems of inequalities describing such sets have been obtained. Phase-lock systems of the fourth and third order, which allow existence of chaotic attractors of various types, have been investigated.

About the authors

A. F. Gribov

Bauman State Technical University

Author for correspondence.
Email: alexandr-gribov@list.ru
Russian Federation, Vtoraya Baumanskaya ul. 5, Moscow, 105005

A. P. Krishchenko

Bauman State Technical University

Email: alexandr-gribov@list.ru
Russian Federation, Vtoraya Baumanskaya ul. 5, Moscow, 105005

B. I. Shakhtarin

Bauman State Technical University

Email: alexandr-gribov@list.ru
Russian Federation, Vtoraya Baumanskaya ul. 5, Moscow, 105005

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