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nlin.PS2000★ 12 cited
Sideband Instabilities and Defects of Quasipatterns
Blas Echebarria, Hermann Riecke
Quasipatterns have been found in dissipative systems ranging from Faraday waves in vertically vibrated fluid layers to nonlinear optics. We describe the dynamics of octagonal, deca…
nlin.PS2000★ 11 cited
Stability of Oscillating Hexagons in Rotating Convection
Blas Echebarria, Hermann Riecke
Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons. We study the stability of…