1998/01/01 by Hidetsugu Sakaguchi, H. Sakaguchi · 1 citation
Computer Science · #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.1143/ptp.99.33
crossref issued 1998/01/01 · crossref published 1998/01/01 · crossref published-print 1998/01/01 · openalex publication_date 1998/01/01 · crossref created 2005/02/22 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30
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.