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  3. Synchronization
  • Cited by 171
Publisher:
Cambridge University Press
Online publication date:
March 2018
Print publication year:
2018
Online ISBN:
9781107297111
DOI:
https://doi.org/10.1017/9781107297111
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Nonlinear Science and Fluid Dynamics
Information

Book description

A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will help advanced graduate students and researchers gain an organic and complete understanding of the subject.

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