EAN: 9783319966632

SPRINGERBRIEFS IN COMPLEXITY STATISTICAL PHYS...

This book introduces and discusses the analysis of interacting many-body complex systems
exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical
physics. While such systems have been mostly studied using dynamical system theory  the book
underlines the usefulness of the statistical physics approach to obtain insightful results in a
number of representative dynamical settings. Although it is intractable to follow the dynamics
of a particular initial condition  statistical physics allows to derive exact analytical
results in the limit of an infinite number of interacting units. Chapter one discusses
dynamical characterization of individual units of synchronizing systems as well as of their
interaction and summarizes the relevant tools of statistical physics. The latter are then used
in chapters two and three to discuss respectively synchronizing systems with either a first- or
a second-order evolution in time. This book provides a timely introduction to the subject and
is meant for the uninitiated as well as for experienced researchers working in areas of
nonlinear dynamics and chaos  statistical physics  and complex systems.

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