Sideband instabilities and defects of quasipatterns

DOI10.1016/S0167-2789(01)00319-0zbMath0983.35058arXivnlin/0012031MaRDI QIDQ5944259

Hermann Riecke, Blas Echebarria

Publication date: 4 October 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0012031

zbMATH Keywords

quasiperiodicityFaraday ripplesGinzburg-Landau equations with real coefficientsphasonquasicrystalstability of the patterns against long-wave modulations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of crystals (82D25) Almost and pseudo-almost periodic solutions to PDEs (35B15) Parallel shear flows in hydrodynamic stability (76E05) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (4)

Modulational stability of travelling waves in 2D anisotropic systems ⋮ Mean flow in hexagonal convection: Stability and nonlinear dynamics ⋮ Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices ⋮ Convergence properties of the 8, 10 and 12 mode representations of quasipatterns

Cites Work

• Symmetries and pattern selection in Rayleigh-Bénard convection
• Long wavelength instabilities of square patterns
• Structure and dynamics of defects in 2D complex vector field
• Pattern formation in large-scale Marangoni convection with deformable interface
• Two-frequency forced Faraday waves: weakly damped modes and pattern selection.
• Superlattice patterns in surface waves
• Dynamics of penta-hepta defects in hexagonal patterns
• Instabilities of hexagonal patterns with broken chiral symmetry
• Stability results for steady, spatially periodic planforms
• Pattern formation in weakly damped parametric surface waves
• Finite bandwidth, finite amplitude convection

This page was built for publication: Sideband instabilities and defects of quasipatterns