Abstract
We propose a coupled equation consisting of the Ginzburg-Landau equation and the Swift-Hohenberg equation as a model of pattern-forming systems with spontaneously broken isotropy. Transitions to defect turbulence are investigated in the case that an external force is applied. Some intermediate states such as zigzag patterns, skewed-varicose patterns and oscillating zigzag patterns are found when the external force is changed. The Ginzburg-Landau equation has a vortex as a topological defect. Spiral patterns appear for the Swift-Hohenberg equation around a vortex of the Ginzburg-Landau equation.
| Original language | English |
|---|---|
| Pages (from-to) | 33-43 |
| Number of pages | 11 |
| Journal | Progress of Theoretical Physics |
| Volume | 99 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1998 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)