Dresden 2006 – scientific programme

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SYIM: Intrinsic Modes

SYIM 1: Intrinsic Modes I

SYIM 1.4: Invited Talk

Thursday, March 30, 2006, 16:00–16:30, HSZ 04

Discrete Breathers: dynamical localization in nonlinear lattices — •Andrey Gorbach — Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Strasse 38 01187 Dresden

Classical nonlinear lattice models support time-periodic and spatially localized solutions - discrete breathers, equally coined intrinsically localized modes in solid state physics and discrete solitons in nonlinear optics. Being exact solutions of the underlying nonlinear coupled differential equations, discrete breathers persist in a quite general class of models, independent on the actual size of the lattice, spatial dimensionality, actual choice of nonlinear forces acting on the lattice, etc. I will introduce the concept of discrete breathers and review basic properties of these objects including spatial localization rate, dynamical and structural stability. In the second part of my talk I will focus on recent advances in the theory of discrete breathers, in particular in the direction of wave scattering by discrete breathers. The effect of resonant reflection of waves by discrete breathers and its possible application for frequency filtering and spectral hole burning will be discussed.