TY - JOUR
T1 - Spontaneous pattern formation in driven nonlinear lattices
AU - Vanossi, Andrea
AU - Rasmussen, K.
AU - Bishop, A. R.
AU - Malomed, Boris A.
AU - Bortolani, V.
PY - 2000
Y1 - 2000
N2 - We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one- and two-dimensional lattices; however, in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.
AB - We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one- and two-dimensional lattices; however, in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.
UR - http://www.scopus.com/inward/record.url?scp=0034317659&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.62.7353
DO - 10.1103/PhysRevE.62.7353
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0034317659
SN - 1063-651X
VL - 62
SP - 7353
EP - 7357
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
ER -