89 citations · 246 across the 5 of their papers we have counts for
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patt-sol1996★ 56 cited
Square Patterns and Quasi-patterns in Weakly Damped Faraday Waves
Wenbin Zhang, Jorge Vinals
Pattern formation in parametric surface waves is studied in the limit of weak viscous dissipation. A set of quasi-potential equations (QPEs) is introduced that admits a closed repr…
patt-sol1993★ 71 cited
Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface Waves
Wenbin Zhang, Jorge Vinals
A two dimensional model is introduced to study pattern formation, secondary instabilities and the transition to spatiotemporal chaos (weak turbulence) in parametric surface waves.…
patt-sol1993★ 89 cited
Spiral defect chaos in a model of Rayleigh-Benard convection
Hao-wen Xi, J. D. Gunton, Jorge Vinals
A numerical solution of a generalized Swift-Hohenberg equation in two dimensions reveals the existence of a spatio-temporal chaotic state comprised of a large number of rotating sp…