Gutiérrez Pablo, Escaff Daniel, Descalzi Orazio
Complex Systems Group, Facultad de Ingeniería, Universidad de los Andes, Avenue San Carlos de Apoquindo 2200, Santiago, Chile.
Philos Trans A Math Phys Eng Sci. 2009 Aug 28;367(1901):3227-38. doi: 10.1098/rsta.2009.0073.
The cubic-quintic complex Ginzburg-Landau is the amplitude equation for systems in the vicinity of an oscillatory sub-critical bifurcation (Andronov-Hopf), and it shows different localized structures. For pulse-type localized structures, we review an approximation scheme that enables us to compute some properties of the structures, like their existence range. From that scheme, we obtain conditions for the existence of pulses in the upper limit of a control parameter. When we study the width of pulses in that limit, the analytical expression shows that it is related to the transition between pulses and fronts. This fact is consistent with numerical simulations.
