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This volume details the current state-of-the-art in the field of localized excitations and their role in the dynamics of complex physical systems. It provides a combination of theory and experiment, mathematics and physics with connections to engineering.

The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems.