Shadowing and Hyperbolicity

• Main Authors: Pilyugin, Sergei Yu (Author), Sakai, Kazuhiro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2193
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.

Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. Speci...

Table of Contents:

• 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.