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Nonlinear Dynamics and Chaos: Advances and Perspectives

  • Book
  • © 2010

Overview

Editors:
  1. Marco Thiel

    1. Dept. Physics, University of Aberdeen, Aberdeen, United Kingdom

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  2. Jürgen Kurths

    1. Climate Impact Research (PIK), Potsdam Institut for, Potsdam, Germany

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  3. M. Carmen Romano

    1. Dept. Physics, University of Aberdeen, Aberdeen, United Kingdom

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  4. György Károlyi

    1. UCB Magyarorszag KFT, Budapest, Hungary

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  5. Alessandro Moura

    1. Kings College, Dept. Physics, University of Aberdeen, Aberdeen, United Kingdom

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Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
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  2. How Did You Get into Chaos?

    • Marco Thiel, Jürgen Kurths, M. Carmen Romano, Alessandro Moura, György Károlyi
    Pages 1-12

  3. Singular Perturbations of Complex Analytic Dynamical Systems

    • Robert L. Devaney
    Pages 13-29

  4. Heteroclinic Switching in Coupled Oscillator Networks: Dynamics on Odd Graphs

    • Peter Ashwin, Gábor Orosz, Jon Borresen
    Pages 31-50

  5. Dynamics of Finite-Size Particles in Chaotic Fluid Flows

    • Julyan H. E. Cartwright, Ulrike Feudel, György Károlyi, Alessandro de Moura, Oreste Piro, Tamás Tél
    Pages 51-87

  6. Langevin Equation for Slow Degrees of Freedom of Hamiltonian Systems

    • R.S. MacKay
    Pages 89-102

  7. Stable Chaos

    • Antonio Politi, Alessandro Torcini
    Pages 103-129

  8. Superpersistent Chaotic Transients

    • Ying-Cheng Lai
    Pages 131-152

  9. Synchronization in Climate Dynamics and Other Extended Systems

    • Peter L. Read, Alfonso A Castrejón-Pita
    Pages 153-176

  10. Stochastic Synchronization

    • Ram Ramaswamy, R.K. Brojen Singh, Changsong Zhou, Jürgen Kurths
    Pages 177-193

  11. Experimental Huygens Synchronization of Oscillators

    • Alexander Pogromsky, David Rijlaarsdam, Henk Nijmeijer
    Pages 195-209

  12. Controlling Chaos: The OGY Method, Its Use in Mechanics, and an Alternative Unified Framework for Control of Non-regular Dynamics

    • G. Rega, S. Lenci, J.M.T. Thompson
    Pages 211-269

  13. Detection of Patterns Within Randomness

    • Ruedi Stoop, Markus Christen
    Pages 271-289

  14. Back Matter

    Pages 291-293
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Keywords

About this book

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Editors and Affiliations

  • Dept. Physics, University of Aberdeen, Aberdeen, United Kingdom

    Marco Thiel, M. Carmen Romano

  • Climate Impact Research (PIK), Potsdam Institut for, Potsdam, Germany

    Jürgen Kurths

  • UCB Magyarorszag KFT, Budapest, Hungary

    György Károlyi

  • Kings College, Dept. Physics, University of Aberdeen, Aberdeen, United Kingdom

    Alessandro Moura

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