edited by Thierry Dauxois (Ecole Normale Supérieure de Lyon, France) , Anna Litvak-Hinenzon (University of Warwick, UK) , Robert MacKay (University of Warwick, UK) , & Anna Spanoudaki (National Technical University of Athens, Greece)

This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems.

• Computational Studies of Discrete Breathers
• Vibrational Spectroscopy and Quantum Localization
• Slow Manifolds
• Localized Excitations in Josephson Arrays
• Protein Functional Dynamics: Computational Approaches
• Nonlinear Vibrational Spectroscopy: A Method to Study Vibrational Self-Trapping
• Breathers in Biomolecules?
• Statistical Physics of Localized Vibrations
• Localization and Targeted Transfer of Atomic-Scale Nonlinear Excitations: Perspectives for Applications