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This book addresses synchronization in networks of coupled systems.
It illustrates the main aspects of the phenomenon through concise
theoretical results and code, allowing readers to reproduce them
and encouraging readers to pursue their own experimentation. The
book begins by introducing the mathematical representation of
nonlinear circuits and the code for their simulation. This is
followed by a brief account of the concept of the complex network,
which describes the main aspects of complex networks and the main
model types, with a particular focus on the code used to study and
reproduce the models. The focus then shifts to the process through
which independent nonlinear circuits that follow different
trajectories without coupling share some properties of their
motion: synchronization. The authors present the main techniques
for studying synchronization in complex networks, including the
major measures, the stability properties and control techniques.
The book then moves on to advanced topics in synchronization of
complex networks by examining forms of synchronization in which not
all the units share the same trajectory, namely chimera states,
clustering synchronization, and relay and remote synchronization.
Simple codes for experimentation with these topics and control
methods are also provided. In closing, the book addresses the
problem of synchronization in time-varying networks.
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