Deterministic Nonlinear Systems
A Short Course
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.
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.
| Autor: | Anishchenko, Vadim S. Strelkova, Galina I. Vadivasova, Tatyana E. |
|---|---|
| ISBN: | 9783319068701 |
| Sprache: | Englisch |
| Produktart: | Gebunden |
| Verlag: | Springer Nature EN |
| Veröffentlicht: | 07.07.2014 |
| Untertitel: | A Short Course |
| Schlagworte: | Applications of Nonlinear Dynamics and Chaos Theory B Classical and Continuum Physics Classical mechanics Continuum physics Dynamical systems Dynamics Dynamics & statics Mathematical Applications in the Physical Sciences Mathematical modelling Mathematical physics Mechanics of solids Multibody Systems and Mechanical Vibrations Nonlinear Optics Physics and Astronomy Statistical physics Vibration Vibration, Dynamical Systems, Control |
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