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

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

Theory of Shadowing of Pseudotrajectories in Dynamical Systems

Author(s):

Sergei Yurievich Piliygin

Faculty of Mathematics and Mechanics,
St.Petersburg State University
Universitetsky prospekt, 28,
198504, Peterhof, St. Petersburg, Russia
Professor
Doctor in physical and mathematical science, professor

sp@sp1196.spb.edu

Abstract:

The survey is devoted to basic results of the theory of shadowing of pseudotrajectories in dynamical systems published in the first 10 years of the XXI-st century.
Main sections: shadowing and structural stability; C1-interiors of sets of dynamical systems with various shadowing properties; shadowing properties that are equivalent to structural stability; density problem.
Bibliography: 34 titles.

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