A few even newer ones are listed below. This volume deals with hyperbolicity and chaos, two great, interrelated concepts of nonlinear dynamics. Also several classification problems are considered, e.g., fundamental results concerning structural and -stability. Let me explain this. Two diffeomorphism are called equivalent if they are conjugate by a homeomorphism and the problem is to classify modulo this equivalence relation.
Symbolic dynamics is a powerful instrument to tackle the dynamics involved.
The dynamics in all these cases is nowadays called chaotic although this precise term is not often used in the book. Indeed it is used in the Preface, where it is characterised as something talked about in the physical literature. Inevitably different cultures develop different sets of terminology. Interesting is mention of the mainly Japanese use of the term stochastic stability in the context of shadowing . I now give a rough description of the contents of the various chapters.