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Русская версия

**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.