SLOW TIME-PERIODIC SOLUTIONS OF CUBIC-QUINTIC GINZBURG-LANDAU EQUATION - HETEROCLINIC ORBITS

Authors
GUO BL JING ZJ LU BN
Citation
Bl. Guo et al., SLOW TIME-PERIODIC SOLUTIONS OF CUBIC-QUINTIC GINZBURG-LANDAU EQUATION - HETEROCLINIC ORBITS, Progress in Natural Science, 8(5), 1998, pp. 539-547
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Progress in Natural Science → ACNP
ISSN journal
10020071
Volume
8
Issue
5
Year of publication
1998
Pages
539 - 547
Database
ISI
SICI code
1002-0071(1998)8:5<539:STSOCG>2.0.ZU;2-R
Abstract
The Ginzburg-Landau equation with small complex coefficients is consid ered. A translation is introduced to transform the Ginzburg-Landau equ ation into a dynamical system. It is proved that the spatial quasiperi odic solutions disappear due to the perturbation. Finally, several typ es of the heteroclinic orbits are proposed by mathematical and numeric al analysis.