| I will introduce the concept of discrete breathers - time-periodic and spatially localized excitations in nonlinear lattices. I will then discuss the physics of these excitations in dissipative networks in interacting Josephson junctions, including their resonant interaction with extended cavity modes. Finally I will briefly touch a new exciting set of results on localization in reciprocal q-space. The corresponding time-periodic q-breather solutions explain by a large part the 50 years old Fermi-Pasta-Ulam problem and open new interesting perspectives for the nonlinear dynamics of finite systems. |
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