Deterministic Nonlinear Systems: A Short Course by Vadim S. Anishchenko , Tatyana E. Vadivasova , Galina I. Strelkova
English | EPUB (True) | 2014 | 300 Pages | ISBN : 3319068709 | 4.5 MB
This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems.