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.