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  • © 2021

Physics of Biological Oscillators

New Insights into Non-Equilibrium and Non-Autonomous Systems

  • Features on time-variable oscillations and their interactions
  • Describes the physics of open systems where the function of each oscillator is affected by its environment
  • Offers a selection of invited presentations from a topical workshop

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

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Introduction

    • Peter V. E. McClintock, Aneta Stefanovska
    Pages 1-7
  3. Theory

    1. Front Matter

      Pages 9-9
    2. Reduced Phase Models of Oscillatory Neural Networks

      • Bastian Pietras, Andreas Daffertshofer
      Pages 29-54
    3. Nonautonomous Attractors

      • Peter E. Kloeden, Meihua Yang
      Pages 55-70
    4. Synchronisation and Non-autonomicity

      • Maxime Lucas, Julian M. I. Newman, Aneta Stefanovska
      Pages 85-110
    5. Non-asymptotic-time Dynamics

      • Julian M. I. Newman, Maxime Lucas, Aneta Stefanovska
      Pages 111-129
  4. Model-Driven and Data-Driven Approaches

    1. Front Matter

      Pages 151-151
    2. On Localised Modes in Bio-inspired Hierarchically Organised Oscillatory Chains

      • Ivana Kovacic, Dragi Radomirovic, Miodrag Zukovic
      Pages 153-162
    3. Coupling Functions in Neuroscience

      • Tomislav Stankovski
      Pages 175-189
    4. Phase Reconstruction with Iterated Hilbert Transforms

      • Erik Gengel, Arkady Pikovsky
      Pages 191-208
  5. Biological Oscillators

    1. Front Matter

      Pages 209-209
    2. Oscillations in Yeast Glycolysis

      • Lars Folke Olsen, Anita Lunding
      Pages 211-224
    3. Glycolytic Oscillations in Cancer Cells

      • Takashi Amemiya, Kenichi Shibata, Masatoshi Watanabe, Satoshi Nakata, Kazuyuki Nakamura, Tomohiko Yamaguchi
      Pages 245-259
    4. Mechanism and Consequence of Vasomotion

      • Jens Christian Brings Jacobsen, Christian Aalkjær
      Pages 261-272

About this book

This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment.  Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described.

Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas. 

Editors and Affiliations

  • Department of Physics, Lancaster University, Lancaster, UK

    Aneta Stefanovska, Peter V. E. McClintock

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
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