TY - JOUR
T1 - Two-dimensional localized chaotic patterns in parametrically driven systems
AU - Urzagasti Guerrero, Deterlino Alberto Urzagasti Guerrero
AU - Laroze, David
AU - Pleiner, Harald
PY - 2017/5/1
Y1 - 2017/5/1
N2 - We study two-dimensional localized patterns in weakly dissipative systems that are driven parametrically. As a generic model for many different physical situations we use a generalized nonlinear Schrödinger equation that contains parametric forcing, damping, and spatial coupling. The latter allows for the existence of localized pattern states, where a finite-amplitude uniform state coexists with an inhomogeneous one. In particular, we study numerically two-dimensional patterns. Increasing the driving forces, first the localized pattern dynamics is regular, becomes chaotic for stronger driving, and finally extends in area to cover almost the whole system. In parallel, the spatial structure of the localized states becomes more and more irregular, ending up as a full spatiotemporal chaotic structure.
AB - We study two-dimensional localized patterns in weakly dissipative systems that are driven parametrically. As a generic model for many different physical situations we use a generalized nonlinear Schrödinger equation that contains parametric forcing, damping, and spatial coupling. The latter allows for the existence of localized pattern states, where a finite-amplitude uniform state coexists with an inhomogeneous one. In particular, we study numerically two-dimensional patterns. Increasing the driving forces, first the localized pattern dynamics is regular, becomes chaotic for stronger driving, and finally extends in area to cover almost the whole system. In parallel, the spatial structure of the localized states becomes more and more irregular, ending up as a full spatiotemporal chaotic structure.
UR - http://www.scopus.com/inward/record.url?scp=85076697351&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.95.052216
DO - 10.1103/PhysRevE.95.052216
M3 - Artículo
C2 - 28618465
AN - SCOPUS:85076697351
VL - 95
SP - 52216
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 5-1
ER -