TY - JOUR T1 - Numerical Study of Time-Periodic Solitons in the Damped-Driven Nls AU - E. V. Zemlyanaya & N.V. Alexeeva JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 248 EP - 261 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/311.html KW - AB - We study localised attractors of the parametrically driven, damped nonlinear Schrödinger equation. Time-periodic solitons of this equation are obtained as solutions of the boundary-value problem on a two-dimensional domain. Stability and bifurcations of periodic solitons and their complexes is classified. We show that the bifurcation diagram can be reproduced using a few-mode approximation.