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  • Book
  • © 2009

Synchronization

From Simple to Complex

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  • Offers a unifying approach to synchronization in nonlinear systems exhibited in diverse systems

  • Clarifies the theme through applications in physics, engineering and medicine

  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Synergetics (SSSYN)

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  • ISBN: 978-3-540-72128-4
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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    1. Introduction

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 1-3
  3. General Mechanisms of Synchronization

    1. Front Matter

      Pages 5-5
    2. General Remarks

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 9-19
    3. 1 : 1 Forced Synchronization of Periodic Oscillations

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 21-73
    4. 1 : 1 Mutual Synchronization of Periodic Oscillations

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 75-104
    5. Homoclinic Mechanism of Synchronization of Periodic Oscillations

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 105-120
    6. n : m Synchronization of Periodic Oscillations

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 121-148
    7. 1 : 1 Forced Synchronization of Periodic Oscillations in the Presence of Noise

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 149-190
    8. Chaos Synchronization

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 191-238
    9. Synchronization of Noise-Induced Oscillations

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 239-258
    10. Conclusions to Part I

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 259-260
  4. Case Studies in Synchronization

    1. Front Matter

      Pages 261-261
    2. Synchronization of Anisochronous Oscillators

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 265-315
    3. Phase Multistability

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 317-352
    4. Synchronization in Systems with Complex Multimode Dynamics

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 353-376
    5. Synchronization of Systems with Resource Mediated Coupling

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 377-409
    6. Conclusions to Part II

      • Alexander Balanov, Natalia Janson, Dmitry Postnov, Olga Sosnovtseva
      Pages 411-412
  5. Back Matter

    Pages 413-425

About this book

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from human heart to neural networks. The authors study this phenomenon as applied to oscillations of different nature such as those with periodic, chaotic, noisy and noise-induced nature, reveal the general mechanisms behind synchronization, and bring to light other important effects that accompany synchronization such as phase multistability, dephasing and multimode interaction. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating system can be described in the framework of the general approach.

Keywords

  • Bifurcations
  • Chaos
  • Natur
  • Noise-induced oscillations
  • Nonlinear dynamics
  • Oscillation
  • Phase
  • Synchronization
  • complexity
  • dynamics
  • network
  • physics

Reviews

From the reviews: “The book combines an introduction to synchronization phenomena with the presentation of some classical results … and of the recent contributions of the authors to the popular and rapidly developing field … . can be recommended as a first reading for graduate and postgraduate students.” (Michael Rosenblum, Mathematical Reviews, Issue 2010 b)

Authors and Affiliations

  • Department of Physics, Loughborough University, Loughborough, United Kingdom

    Alexander Balanov

  • School of Mathematics, Loughborough University, Loughborough, United Kingdom

    Natalia Janson

  • Department of Physics, Saratov State University, Saratov, Russia

    Dmitry Postnov

  • Department of Physics, Technical University of Denmark, Lyngby, Denmark

    Olga Sosnovtseva

About the authors

Alexander Balanov: graduated from Saratov State University (Russia) in 1995 (MSc in Physics), after graduation worked as a Research Engineer in the Laboratory of Nonlinear Dynamics in Saratov State University, in 2000 got his PhD from the same University, in 2000-2003 worked as a Research Associate in the Department of Physics in Lancaster University (UK), since 2003 until now is a Research Fellow in the Insitute of Theoretical Physics at Technical University Berlin (Germany).

Natalia Janson: graduated from Saratov State University (Russia) in 1993 (MSc in Physics); in 1993-1997 was a PhD student in Saratov State University, after obtaining her PhD in 1997 worked as an Assistant Professor in the Physics Department of Saratov State University until 2000; in 2000—2003 was a Research Associate in the Department of Physics in Lancaster University (UK); 2003—now is a Lecturer in the Department of Mathematical Science in Loughborough University (UK).

Dmitry Postnov: graduated from Saratov State University (Russia) in 1983 (MSc in Physics); after graduation worked as a Research Engineer at the Radiophysics Chair at the Department of Physics of Saratov State University, in 1990 got his PhD from the same University, in 1991--2000 worked as an Assistant and then as an Associate Professor at the Department of Physics; in 2001 got a degree of Doctor of Science and became Full Professor at the same department of Saratov State University.

Olga Sosnovtseva: graduated from Saratov State University (Russia) in 1989 (MSc in Physics); after graduation worked as a Research Engineer at the Institute of Mechanics and Physics, Saratov State University; in 1992-1996 was a PhD student at Saratov State University, after obtaining her PhD in 1996 worked as an Assistant Professor in the Physics Department of the same university until 2000; in 2001—2004 was an Assistant Professor at Physics Department in Technical University of Denmark, since 2005 until now is an Associate Professor in Biophysics, Complex Systems and Biophysics Group, Technical University of Denmark.



Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-72128-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 149.99
Price excludes VAT (USA)
Hardcover Book
USD 149.99
Price excludes VAT (USA)