Overview
- 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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Table of contents (7 chapters)
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Pseudochaotic Kicked Oscillators
Book Subtitle: Renormalization, Symbolic Dynamics, and Transport
Authors: John H. Lowenstein
DOI: https://doi.org/10.1007/978-3-642-28154-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Higher Education Press,Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-28153-2Published: 16 October 2012
eBook ISBN: 978-3-642-28154-9Published: 30 July 2013
Edition Number: 1
Number of Pages: XII, 215
Number of Illustrations: 103 b/w illustrations, 22 illustrations in colour
Additional Information: Jointly published with Higher Education Press
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Systems Theory, Control, Mathematical Methods in Physics, Applications of Mathematics