Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I.
2015, XIV, 294 p. 172 illus., 2 illus. in color.
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Concise introduction and presentation, suitable as textbook and as self-study guide
Particular emphasis on systems with self-sustained oscillations and synchronization
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.
Content Level »Graduate
Keywords »Anishchenko-Astakhov Oscillator - Deterministic Chaos Theory - Nonlinear Dynamics Textbook - Oscillations and Synchronization in Complex Systems - Poincare Recurrences - Stability and Bifurcations in Nonlinear Dynamical Systems