This book collects together recent results on large-scale
structures in non-linear science. Coherent states,
convective and turbulent patterns, inverse cascades,
interfaces and cooperative phenomena in fluids and plasmas
are discussed, together with the implementation of concepts
of statistical mechanics to particle physics and nuclear
matter. Special attention is devoted to phenomena, such as
mixing, which display macroscopicfeatures, even though
generated by small-scale dynamical processes. In this
context, homoclinic structure, the KAM theorem, Lyapunov
stability,and singularities are addressed. A new
perturbative technique for classical and quantum fields and
new results concerning the analysis of hierarchially
organized objects are presented.
The book should be attractive for a large audience including
engineers, mathematicians and physicists.