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nlin.PS2010★ 58 cited
KAM tori in 1D random discrete nonlinear Schrödinger model?
Magnus Johansson, Georgios Kopidakis, Serge Aubry
We suggest that KAM theory could be extended for certain infinite-dimensional systems with purely discrete linear spectrum. We provide empirical arguments for the existence of squa…
nlin.PS2000★ 32 cited
Oscillatory Instabilities of Standing Waves in One-Dimensional Nonlinear Lattices
Anna Maria Morgante, Magnus Johansson, Georgios Kopidakis +1
In one-dimensional anharmonic lattices, we construct nonlinear standing waves (SWs) reducing to harmonic SWs at small amplitude. For SWs with spatial periodicity incommensurate wit…