Skip to main content
  • Book
  • © 2011

Transient Chaos

Complex Dynamics on Finite Time Scales

  • Timely book by two well known experts in area
  • Many case studies and examples
  • Comprehensive overview of literature

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiv
  2. Basics of Transient Chaos

    1. Front Matter

      Pages 1-1
    2. Introduction to Transient Chaos

      • Ying-Cheng Lai, Tamás Tél
      Pages 3-35
    3. Transient Chaos in Low-Dimensional Systems

      • Ying-Cheng Lai, Tamás Tél
      Pages 37-77
    4. Crises

      • Ying-Cheng Lai, Tamás Tél
      Pages 79-106
    5. Noise and Transient Chaos

      • Ying-Cheng Lai, Tamás Tél
      Pages 107-143
  3. Physical Manifestations of Transient Chaos

    1. Front Matter

      Pages 145-145
    2. Fractal Basin Boundaries

      • Ying-Cheng Lai, Tamás Tél
      Pages 147-185
    3. Chaotic Scattering

      • Ying-Cheng Lai, Tamás Tél
      Pages 187-238
  4. High-Dimensional Transient Chaos

    1. Front Matter

      Pages 263-263
    2. Transient Chaos in Higher Dimensions

      • Ying-Cheng Lai, Tamás Tél
      Pages 265-310
    3. Transient Chaos in Spatially Extended Systems

      • Ying-Cheng Lai, Tamás Tél
      Pages 311-339
  5. Applications of Transient Chaos

    1. Front Matter

      Pages 341-341
    2. Chaotic Advection in Fluid Flows

      • Ying-Cheng Lai, Tamás Tél
      Pages 343-383
    3. Controlling Transient Chaos and Applications

      • Ying-Cheng Lai, Tamás Tél
      Pages 385-412
    4. Transient Chaotic Time-Series Analysis

      • Ying-Cheng Lai, Tamás Tél
      Pages 413-434
  6. Back Matter

    Pages 435-497

About this book

The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.

Reviews

From the reviews:

“The main strengths of the book is its unifying treatment of transient chaos, presented in the first couple of chapters. … Its target is the heterogeneous community of physicists, applied mathematicians and engineers who work in dynamical systems, and are interested in transient chaos. … this book is truly a gem, and is bound to become almost overnight the essential reference on transient chaos, and a must on the bookshelf of anyone seriously interested in the area. I highly recommend it.” (Alessandro P. S. de Moura, Mathematical Reviews, Issue 2012 b)

“The authors did an excellent job providing both a theoretical background necessary for the understanding of the concept of transient chaos and related notions and an overview of a variety of transient-chaos related phenomena. This encyclopedic monograph, nicely written by two well-known experts in the field, will be of interest for graduate students, researchers and engineers who deal with dynamical systems and their applications and have a working knowledge of nonlinear dynamics and sustained chaos.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1218, 2011)

Authors and Affiliations

  • Dept. Electrical Engineering, Arizona State University, Tempe, USA

    Ying-Cheng Lai

  • Institute of Physics, Department of Theoretical Physics, Eötvös Loránd University, Budapest, Hungary

    Tamás Tél

About the authors

Ying-Cheng Lai’s main research interests are Chaotic Dynamics, Complex Networks, Quantum Transport in Nanostructures, Biological Physics, and Signal Processing. He is a professor at the Arizona State University. Tamas Tel's main research interests are Chaotic Dynamics, Stochastic Processes, Hydrodynamics, Spreading of Pollutants, and Environmental Flows.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access