Beschreibung:
The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.
Preface. 1. Introduction to dynamical systems (H.W. Broer). 2. Genericity and structural stability (H.W. Broer and F. Dumortier). 3. Bifurcations (F. Takens). 4. A family of quasi-periodic attractors (H.W. Broer). 5. Chaos (F. Takens). 6. Interval maps (S.J. v. Strien). 7. Local study of planar vector fields: singularities and their unfoldings (F. Dumortier). 8. The thermodynamic formalism (F. Takens). 9. Conservative dynamical systems (H.W. Broer). Subject index.