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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.
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