Nonlinear Competition Between Small and Large Hexagonal Patterns

Details Nonlinear Competition Between Small and Large Hexagonal Patterns Nonlinear Competition Between Small and Large Hexagonal Patterns

1997-10-08

arxiv.org/abs/patt-sol/9710004v2

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, RevTex, revised, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.81.2450

Recent experiments by Kudrolli, Pier and Gollub 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 flat surface state as the forcing amplitude is increased, and that the experimentally-observed transition can be described by considering a low-dimensional bifurcation problem. A number of predictions come out of this general analysis.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Competition Between Small and Large Hexagonal Patterns does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Competition Between Small and Large Hexagonal Patterns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Competition Between Small and Large Hexagonal Patterns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467105