ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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

Smooth Diffeomorphisms with Infinite Set of Stable Periodic Points


Ekaterina Viktorovna Vasilyeva

Universitetsky prospekt, 28,
198504, Peterhof, St. Petersburg, Russia,
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics,
Differential Equations Department


The goal of this work is to prove the following statement: there is a set of two-dimensional Cn-smooth diffeomorphisms (where n>1, n is finite) with a countable set of stable periodic points which are situated in a neighbourhood of the homoclinic point. The characteristic exponents of these points are negative and separated from zero.

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