期刊
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 367, 期 1901, 页码 3227-3238出版社
ROYAL SOC
DOI: 10.1098/rsta.2009.0073
关键词
Ginzburg-Landau equation; bifurcations; localized structures
资金
- FAI [ICIV-003-08]
- Universidad de los Andes, 2008
- FONDECYT [1070098, 3070013]
- Project Anillo en Ciencia y Tecnologia [ACT15]
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.
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