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
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.