Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Existence of Stratification in the Neighbourhood of the Invariant Tore of one Particular Essentially Nonlinear System

Author(s):

A. A. Bogolubov

Saint-Petersburg state university
Faculty of Mathematics and Mechanics

Yu. A. Iljin

Saint-Petersburg state university
Faculty of Mathematics and Mechanics

Abstract:

A certain type of essentially nonlinear system is analysed. Under certain assumrttions it is proved, that in rather small neighbourhood of the tore there existts an invariant stratification.

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