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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi></mml:math>Breathers in Finite Lattices: Nonlinearity and Weak Disorder

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi></mml:math>Breathers in Finite Lattices: Nonlinearity and Weak Disorder

Nonlinearity and disorder are the recognized ingredients of the lattice vibrational dynamics, the factors that could be diminished, but never excluded. We generalize the concept of $q$ breathers---periodic orbits in nonlinear lattices, exponentially localized in the linear mode space---to the case of weak disorder, taking the Fermi-Pasta-Ulan chain as an …