On the Bifurcation and Stability of Periodic Solutions of the Ginzburg--Landau Equations in the Plane
β Scribed by Almog, Yaniv
- Book ID
- 118193543
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2000
- Tongue
- English
- Weight
- 272 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0036-1399
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π SIMILAR VOLUMES
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
1 consider the nonlinear stability of plane wave solutions to a Ginzburg-Landau equation with additional fifth-order terms and cubic terms containing spatial derivatives. 1 show that, under the constraint that the diffusion coefficient be real, these waves are stable. Furthermore, it is shown that t