Pseudochaotic Kicked Oscillators

Renormalization, Symbolic Dynamics, and Transport

Authors: Lowenstein, John H.

  • Thorough, self-contained investigation of a simple one-dimensional model of purest form of pseudochaos
  • Treats local and global scaling based on novel symbolic dynamics via non-standard renormalization scheme
  • Explains extreme sensitivity to arithmetic properties of parameters in these systems
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  • ISBN 978-3-642-28154-9
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  • ISBN 978-3-642-28153-2
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About this book

"Pseudochaotic Kicked Oscillators: Renormalization, Symbolic Dynamics, and Transport" presents recent developments in pseudochaos, which is concerned with complex branching behaviors of dynamical systems at the interface between orderly and chaotic motion. Pseudochaos is characterized by the trapping of orbits in the vicinity of self-similar hierarchies of islands of stability, producing phase-space displacements which increase asymptotically as a power of time. This monograph is a thorough, self-contained investigation of a simple one-dimensional model (a kicked harmonic oscillator) which exhibits pseudochaos in its purest form. It is intended for graduate students and researchers in physics and applied mathematics, as well as specialists in nonlinear dynamics.
 
Dr. John H. Lowenstein is a Professor Emeritus in the Department of Physics at New York University, USA.

Reviews

From the book reviews:

“This book is about the pseudo-chaotic kicked oscillator: a harmonic oscillator, subjected to impulsive kicks in resonance at the natural frequency. … This is a well-edited book, with a clear line of self-contained exposition and a large number of illustrations and useful examples. It can serve as a textbook as part of an advanced course in nonlinear dynamical systems.” (César A. Terrero-Escalante, Mathematical Reviews, June, 2014)


Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-642-28154-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-642-28153-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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
Pseudochaotic Kicked Oscillators
Book Subtitle
Renormalization, Symbolic Dynamics, and Transport
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Higher Education Press,Beijing and Springer-Verlag GmbH Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press
eBook ISBN
978-3-642-28154-9
DOI
10.1007/978-3-642-28154-9
Hardcover ISBN
978-3-642-28153-2
Edition Number
1
Number of Pages
XII, 215
Number of Illustrations and Tables
103 b/w illustrations, 22 illustrations in colour
Additional Information
Jointly published with Higher Education Press
Topics