Authors:
- Authored by leading researchers in the field
- Concise introduction and presentation, suitable as textbook and as self-study guide
- Particular emphasis on systems with self-sustained oscillations and synchronization
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Synergetics (SSSYN)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (15 chapters)
-
Front Matter
About this book
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.
Authors and Affiliations
-
Department of Physics, Saratov State University Instiute of Nonlinear Dynamics, Saratov, Russia
Vadim S. Anishchenko
-
Department of Physics, Saratov State University Institute of Nonlinear Dynamics, Saratov, Russia
Tatyana E. Vadivasova, Galina I. Strelkova
About the authors
Prof. Dr. Vadim S. Anishchenko is Head of Radiophysics and Nonlinear Dynamics Chair and the scientific supervisor of the Laboratory of Nonlinear Dynamics of Saratov State University. He is a specialist in the field of theory of oscillations, statistical radiophysics and nonlinear dynamics and the author of seven scientific monographs, three text-books and of more than 200 journal articles.
Prof. Anishchenko is an Honored Man of Sciences of Russia, a corresponding member of Russian Academy of Natural Sciences, and Soros Professor. In 1999 he was elected the recipient of a Humboldt Research Award.
Bibliographic Information
Book Title: Deterministic Nonlinear Systems
Book Subtitle: A Short Course
Authors: Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-319-06871-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-06870-1Published: 07 July 2014
Softcover ISBN: 978-3-319-37852-7Published: 23 August 2016
eBook ISBN: 978-3-319-06871-8Published: 16 June 2014
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XIV, 294
Number of Illustrations: 170 b/w illustrations, 2 illustrations in colour
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Classical and Continuum Physics, Vibration, Dynamical Systems, Control, Mathematical Applications in the Physical Sciences