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Transient Chaos

Complex Dynamics on Finite Time Scales

  • Ying-Cheng Lai
  • Tamás Tél

Part of the Applied Mathematical Sciences book series (AMS, volume 173)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Basics of Transient Chaos

    1. Front Matter
      Pages 1-1
    2. Ying-Cheng Lai, Tamás Tél
      Pages 3-35
    3. Ying-Cheng Lai, Tamás Tél
      Pages 37-77
    4. Ying-Cheng Lai, Tamás Tél
      Pages 79-106
    5. Ying-Cheng Lai, Tamás Tél
      Pages 107-143
  3. Physical Manifestations of Transient Chaos

    1. Front Matter
      Pages 145-145
    2. Ying-Cheng Lai, Tamás Tél
      Pages 147-185
    3. Ying-Cheng Lai, Tamás Tél
      Pages 187-238
  4. High-Dimensional Transient Chaos

    1. Front Matter
      Pages 263-263
    2. Ying-Cheng Lai, Tamás Tél
      Pages 265-310
    3. Ying-Cheng Lai, Tamás Tél
      Pages 311-339
  5. Applications of Transient Chaos

    1. Front Matter
      Pages 341-341
    2. Ying-Cheng Lai, Tamás Tél
      Pages 343-383
    3. Ying-Cheng Lai, Tamás Tél
      Pages 385-412
    4. Ying-Cheng Lai, Tamás Tél
      Pages 413-434
  6. Back Matter
    Pages 435-497

About this book

Introduction

This book represents the first comprehensive treatment of Transient Chaos. It gives an overview of the subject based on three decades of intensive research. One special emphasis is on applications, and the fact that certain interesting dynamical phenomena can be understood only in the framework of transient chaos. Specific topics treated include basic concepts and characterization of transient chaos, crises, fractal basin boundaries, chaotic scattering, noise-induced chaos, chaotic advections and the spreading of pollutants in fluid flows, quantum chaotic scattering, spatiotemporal chaotic transients and turbulence, controlling transient chaos, and analysis of transient chaotic time series, etc. Materials in the book reflect the most recent advances in the field. Case studies and examples are included in each chapter with relevant experimental evidence wherever appropriate. The book is intended for researchers and graduate students in Physics, Engineering, Applied Mathematics, and Biomedical Sciences. Ying-Cheng Lai is a Professor of Electrical Engineering and Professor of Physics at Arizona State University, USA and a Sixth Century Chair in Electrical Engineering at the University of Aberdeen, UK. Tamás Tél is a Professor of Physics at Eötvös University, Budapest, Hungary.

Keywords

Transient chaos chaotic attractors chaotic saddles and repellers fractal dimensions fractal geometry non-attracting chaotic sets

Authors and affiliations

  • Ying-Cheng Lai
    • 1
  • Tamás Tél
    • 2
  1. 1.Dept. Electrical EngineeringArizona State UniversityTempeUSA
  2. 2.Institute of Physics, Department of Theoretical PhysicsEötvös Loránd UniversityBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6987-3
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-6986-6
  • Online ISBN 978-1-4419-6987-3
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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