Synchronization
From Coupled Systems to Complex Networks

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Stefano Boccaletti (Author), Alexander N. Pisarchik (Author), Charo I. del Genio (Author), Andreas Amann (Author)

9781107056268, Cambridge University Press

Hardback, published 29 March 2018

264 pages, 102 b/w illus.
25.3 x 17.8 x 1.7 cm, 0.69 kg

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.

Preface
1. Introduction and main concepts
2. Low-dimensional systems
3. Multistable systems, coupled neurons and applications
4. High-dimensional systems
5. Complex networks
References
Index.

Subject Areas: Dynamics & statics [PHDT], Fluid mechanics [PHDF], Nonlinear science [PBWR], Differential calculus & equations [PBKJ], Mathematics & science [P]