Springer Series in Synergetics

Deterministic Nonlinear Systems

A Short Course

Authors: Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I.

  • 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
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eBook $79.99
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  • ISBN 978-3-319-06871-8
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  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-06870-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-37852-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

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.

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.

Table of contents (15 chapters)

  • Dynamical Systems

    Anishchenko, Vadim S. (et al.)

    Pages 1-22

  • Stability of Dynamical Systems: Linear Approach

    Anishchenko, Vadim S. (et al.)

    Pages 23-35

  • Bifurcations of Dynamical Systems

    Anishchenko, Vadim S. (et al.)

    Pages 37-52

  • Dynamical Systems with One Degree of Freedom

    Anishchenko, Vadim S. (et al.)

    Pages 53-73

  • Systems with Phase Space Dimension N ≥ 3: Deterministic Chaos

    Anishchenko, Vadim S. (et al.)

    Pages 75-92

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-06871-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-06870-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-37852-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Deterministic Nonlinear Systems
Book Subtitle
A Short Course
Authors
Series Title
Springer Series in Synergetics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06871-8
DOI
10.1007/978-3-319-06871-8
Hardcover ISBN
978-3-319-06870-1
Softcover ISBN
978-3-319-37852-7
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XIV, 294
Number of Illustrations and Tables
170 b/w illustrations, 2 illustrations in colour
Topics