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


Sergei Yurievich Piliygin

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


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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