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

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

Weak Inverse Shadowing Properties in Dynamical Systems


A. B. Katina

Russia, 195251, Saint-Petersburg, Bibliotechnaya pl., 2,
St. Petersburg State University,
Faculty of Mathematics and Mecanics


We study the first and second weak inverse shadowing properties in nonlinear dynamical systems. We obtain sufficient condition under which a diffeomorphism of a smooth manifold has the first weak inverse shadowing property. It is shown that the C1-Interior of the set of diffeomorphisms having the first weak inverse shadowing property coincides with the set of Omega-stable diffeomorphisms.

Full text (pdf)