42 citations · 79 across the 3 of their papers we have counts for
4 papers
Stabilisation of long-period periodic orbits using time-delayed feedback control
Claire M. Postlethwaite
The Pyragas method of feedback control has attracted much interest as a method of stabilising unstable periodic orbits in a number of situations. We show that a time-delayed feedba…
Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control
Claire M. Postlethwaite, Mary Silber
For many years it was believed that an unstable periodic orbit with an odd number of real Floquet multipliers greater than unity cannot be stabilized by the time-delayed feedback c…
Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
Claire M. Postlethwaite, Mary Silber
Previous work has shown that Benjamin-Feir unstable traveling waves of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions cannot be stabilized using a particular…
Instabilities induced by a weak breaking of a strong spatial resonance
J. H. P. Dawes, C. M. Postlethwaite, M. R. E. Proctor
Through multiple-scales and symmetry arguments we derive a model set of amplitude equations describing the interaction of two steady-state pattern-forming instabilities, in the cas…