Building patterns by traveling dipoles and vortices in two-dimensional periodic dissipative media

摘要: Abstract We analyze pattern-formation scenarios in the two-dimensional (2D) complex Ginzburg–Landau (CGL) equation with cubic–quintic (CQ) nonlinearity and a cellular potential. The models laser cavities built-in gratings, which stabilize 2D patterns. pattern-building process is initiated by kicking compound mode, form of dipole, quadrupole, or vortex composed four local peaks. hopping motion kicked mode through structure leads to generation various extended patterns pinned structure. In ring-shaped system, persisting freely moving dipole hits stationary pattern from opposite side, giving rise several dynamical regimes, including periodic elastic collisions, i.e., persistent cycles collisions between quiescent dissipative solitons, transient regimes featuring end up absorption one soliton other. Still another noteworthy result transformation strongly unstable into stably four-peaked cluster.