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Introduction to focus issue: Patterns of network synchronization.

Daniel M Abrams¹, Louis M Pecora², Adilson E Motter³

¹Department of Engineering Sciences and Applied Mathematics and Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, Illinois 60208, USA.

Chaos (Woodbury, N.Y.)

|October 27, 2016

Summary

This summary is machine-generated.

Recent discoveries reveal new collective dynamics and network synchronization patterns, including chimera states and asymmetry-induced synchronization. This research provides a foundation for understanding these complex synchronized systems.

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Area of Science:

Complex Systems Science
Network Dynamics
Nonlinear Dynamics

Background:

The study of synchronization in coupled systems is rapidly advancing.
New collective dynamics and network synchronization patterns are being discovered.
Techniques for characterizing these patterns are under development.

Purpose of the Study:

To provide an up-to-date foundation for recent developments in synchronization research.
To introduce a selection of cutting-edge contributions in the field.
To highlight emerging phenomena such as chimera states and asymmetry-induced synchronization.

Main Methods:

Focus Issue compilation of current research.
Introduction to novel synchronization phenomena.
Characterization of network synchronization patterns.

Main Results:

Identification of new synchronization forms like chimera states.
Understanding of phenomena driven by symmetry and asymmetry.
Advancement in characterizing diverse network synchronization patterns.

Conclusions:

The field of coupled system synchronization is experiencing significant growth.
New discoveries are expanding our understanding of collective dynamics.
This work lays the groundwork for future research in network synchronization.