Secondary structures in a one-dimensional complex Ginzburg–Landau equation with homogeneous boundary conditions

摘要: Experiments in extended systems, such as the counter-rotating Couette–Taylor flow or Taylor–Dean system, have shown that patterns with vanishing amplitude may exhibit periodic spatio-temporal defects for some range of control parameters. These observations could not be interpreted by complex Ginzburg–Landau equation (CGLE) boundary conditions. We investigated one-dimensional CGLE homogeneous found that, ‘Benjamin–Feir stable’ region, basic wave train bifurcates to state defects. The numerical results match quite well. built a new diagram parameter plane spanned criticality (or equivalently linear group velocity) and nonlinear frequency detuning.