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Pulses and fronts in the complex Ginzburg-Landau equation near a subcritical bifurcation

✍ Scribed by van Saarloos, W.; Hohenberg, P. C.


Book ID
125462108
Publisher
The American Physical Society
Year
1990
Tongue
English
Weight
208 KB
Volume
64
Category
Article
ISSN
0031-9007

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Bifurcations of plane wave (CW) solution
✍ Stefan C. Mancas; S.Roy Choudhury 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 293 KB

Singularity Theory is used to comprehensively investigate the bifurcations of the steady states of the traveling wave ODEs of the cubic-quintic Ginzburg-Landau equation (CGLE). These correspond to plane waves of the PDE. In addition to the most general situation, we also derive the degeneracy condit