TY  - BOOK
AU  - Katok,A.B.
AU  - Hasselblatt,Boris
TI  - Introduction to the modern theory of dynamical systems
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511809187 (ebook)
AV  - QA614.8 .K38 1995
U1  - 515/.352 20
PY  - 1995///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Differentiable dynamical systems
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods.  The main theme of the second part of the book is the interplay between local analysis near individual  orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of  low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up
UR  - https://doi.org/10.1017/CBO9780511809187
ER  -