Stability Theory of Dynamical Systems [Paperback]

Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems. From the reviews:
This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems.
Mathematical Reviews, 1972
The exposition is remarkably clear, definitions are separated explicitly, theorems are often provided together with the motivation for changing one or other hypothesis, as well as the relevance of certain generalisations... This study is an excellent review of the current situation for problems of stability of the solution of differential equations. It is addressed to all interested in non-linear differential problems, as much from the theoretical as from the applications angle.
Bulletin de la Soci?t? Math?matique de Belgique, 1975 I. Dynamical Systems 1. Definition and Related Notation 2. Examples of Dynamical Systems Notes and References II. Elementary Concepts 1. Invariant Sets and Trajectories 2. Critical Points and Periodic Points 3. Trajectory Closures and Limit Sets 4. The First Prolongation and the Prolongatiol“M