Pseudochaotic Kicked Oscillators

Renormalization, Symbolic Dynamics, and Transport

  • John H. Lowenstein

Table of contents

  1. Front Matter
    Pages i-xii
  2. John H. Lowenstein
    Pages 1-15
  3. John H. Lowenstein
    Pages 17-62
  4. John H. Lowenstein
    Pages 63-78
  5. John H. Lowenstein
    Pages 79-105
  6. John H. Lowenstein
    Pages 107-129
  7. John H. Lowenstein
    Pages 131-150
  8. John H. Lowenstein
    Pages 151-184
  9. Back Matter
    Pages 185-215

About this book

Introduction

"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.

Keywords

Anomalous transport Kicked oscillator Piecewise isometry Pseudochaos Renormalization

Authors and affiliations

  • John H. Lowenstein
    • 1
  1. 1.Department of PhysicsNew York UniversityNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-28154-9
  • Copyright Information Higher Education Press,Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-28153-2
  • Online ISBN 978-3-642-28154-9
  • About this book