On the stability of localized structures in the complex Ginzburg–Landau equation

O Descalzi

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 23-28

Abstract: We study analytically the asymptotic linear stability of fixed-modulus dissipative–dispersive localized solutions of the one-dimensional quintic complex Ginzburg–Landau (GL) equation in the region where there exists a coexistence of homogeneous attractors. The linear analysis gives an indication for the existence of pulses with an oscillating modulus.

Keywords: Ginzburg–Landau equation; Bifurcations; Localized structures (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:23-28

DOI: 10.1016/S0378-4371(03)00432-1

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