Dynamical Systems and Chaos, 2011 Applied Mathematical Sciences Series, Vol. 172

Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.

Examples and definitions of dynamical phenomena.- Qualitative properties and predictability of evolutions.- Persistence of dynamical properties.- Global structure of dynamical systems.- On KAM Theory.- Reconstruction and time series analysis.

Henk Broer and Floris Takens are professors at the Johann Bernoulli Institute in the University of Groningen.