“The book is clearly written and appropriate both for advanced graduate students in the area and for researchers working or being interested in the field.” (Christian Pötzsche, zbMATH 1426.37004, 2020)“This book gives an up-to-date account of results on the relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. … The style of presentation is very clear and, in my opinion, the book is quite suitable for researchers in the field of dynamical systems to understand the global qualitative theory from different points of view.” (Yujun Zhu, Mathematical Reviews, July, 2018)

• Preface.- 1 Main Definitions and Basic Results.- Lipschitz and H¨older Shadowing and Structural Stability.- 3 C1 interiors of Sets of Systems with Various Shadowing Properties.- 4 Chain Transitive Sets and Shadowing.- References.- Index.

“The book is clearly written and appropriate both for advanced graduate students in the area and for researchers working or being interested in the field.” (Christian Pötzsche, zbMATH 1426.37004, 2020)“This book gives an up-to-date account of results on the relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. … The style of presentation is very clear and, in my opinion, the book is quite suitable for researchers in the field of dynamical systems to understand the global qualitative theory from different points of view.” (Yujun Zhu, Mathematical Reviews, July, 2018)

• Preface.- 1 Main Definitions and Basic Results.- Lipschitz and H¨older Shadowing and Structural Stability.- 3 C1 interiors of Sets of Systems with Various Shadowing Properties.- 4 Chain Transitive Sets and Shadowing.- References.- Index.