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.
This book is aimed at graduate students and non-specialist
researchers with a background in physics, applied mathematics and
engineering wishing to enter this exciting field of research.
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