64 citations · 390 across the 24 of their papers we have counts for
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Resonance bifurcations of robust heteroclinic networks
Vivien Kirk, Claire Postlethwaite, Alastair M. Rucklidge
Robust heteroclinic cycles are known to change stability in resonance bifurcations, which occur when an algebraic condition on the eigenvalues of the system is satisfied and which…
Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation
Genevieve Brown, Claire M. Postlethwaite, Mary Silber
We show that Pyragas delayed feedback control can stabilize an unstable periodic orbit (UPO) that arises from a generic subcritical Hopf bifurcation of a stable equilibrium in an n…
A mechanism for switching near a heteroclinic network
Vivien Kirk, Emily Lane, Claire M. Postlethwaite +2
We describe an example of a structurally stable heteroclinic network for which nearby orbits exhibit irregular but sustained switching between the various sub-cycles in the network…
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…