2 citations · 2 across the 2 of their papers we have counts for
5 papers
Near-Resonant, Steady Mode Interaction: Periodic, Quasi-Periodic and Localized Patterns
M. Higuera, H. Riecke, M. Silber
Motivated by the rich variety of complex periodic and quasi-periodic patterns found in systems such as two-frequency forced Faraday waves, we study the interaction of two spatially…
Faraday Wave Pattern Selection Via Multi-Frequency Forcing
Jeff Porter, C. M. Topaz, Mary Silber
We use symmetry considerations to investigate how damped modes affect pattern selection in multi-frequency forced Faraday waves. We classify and tabulate the most important damped…
Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns
A. M. Rucklidge, M. Silber, J. Fineberg
We examine three experimental observations of Faraday waves generated by two-frequency forcing, in which a primary hexagonal pattern becomes unstable to three different superlattic…
Simple and Superlattice Turing Patterns in Reaction-Diffusion Systems: Bifurcation, Bistability, and Parameter Collapse
Stephen L. Judd, Mary Silber
This paper investigates the competition between both simple (e.g. stripes, hexagons) and ``superlattice'' (super squares, super hexagons) Turing patterns in two-component reaction-…
New stability results for long-wavelength convection patterns
Anne C. Skeldon, Mary Silber
We consider the transition from a spatially uniform state to a steady, spatially-periodic pattern in a partial differential equation describing long-wavelength convection. This bot…