Nonlinear Competition between Small and Large Hexagonal Patterns
Nonlinear Competition between Small and Large Hexagonal Patterns
Recent experiments by Kudrolli, Pier, and Gollub [Physica D (to be published)] on surface waves, parametrically excited by two-frequency forcing, show a transition from a small hexagonal standing wave pattern to a triangular ``superlattice`` pattern. We show that generically the hexagons and the superlattice wave patterns bifurcate simultaneously from the …