Shadowing and Hyperbolicity

• Κύριοι συγγραφείς: Pilyugin, Sergei Yu (Συγγραφέας), Sakai, Kazuhiro (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes in Mathematics, 2193
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.