5 papers
Design of parametrically forced patterns and quasipatterns
A. M. Rucklidge, M. Silber
The Faraday wave experiment is a classic example of a system driven by parametric forcing, and it produces a wide range of complex patterns, including superlattice patterns and qua…
Quasipatterns in parametrically forced systems
A. M. Rucklidge, M. Silber
We examine two mechanisms that have been put forward to explain the selection of quasipatterns in single and multi-frequency forced Faraday wave experiments. Both mechanisms can be…
The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit
Vivien Kirk, Alastair M. Rucklidge
The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic cycle connecting two equilibria and a periodic orbit is investigated. This type…
Boundary effects and the onset of Taylor vortices
A. M. Rucklidge, A. R. Champneys
It is well established that the onset of spatially periodic vortex states in the Taylor-Couette flow between rotating cylinders occurs at the value of Reynold's number predicted by…
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…