Scaling of turbulent spike amplitudes in the complex Ginzburg-Landau equation
β Scribed by Benjamin P. Luce; Charles R. Doering
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 498 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We describe some new numerical results concerning the scaling of norms on the turbulent attractor of the quintic complex Ginzburg-Landau equation, ut = (1 + iV)Uxx + Ru -(1 + i/z)ulul 4, posed on the one-dimensional interval [0, 1] with periodic boundary conditions. The evidence suggests that the re
We reformulate the 1D complex Ginzburg-Landau equation as a fourth-order ordinary differential equation in order to find stationary spatially periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressi