7 papers
Continuity of projected maps of heteroclinic networks in
David C Groothuizen Dijkema, Claire M Postlethwaite, Alastair M Rucklidge
Stability of robust heteroclinic cycles and networks is typically studied by constructing return maps and analysing their associated transition matrices. This analysis can be simpl…
A flexible implementation of strong segregation theory for two dimensional ABC star terpolymer morphologies
Merin Joseph, Daniel J. Read, Alastair M. Rucklidge
We present a novel computational implementation of strong segregation theory, developed specifically for calculations of phase separated ABC star terpolymers. The method allows cal…
Pattern Formation with Two Length Scales: Spatiotemporal Chaos
Laura Pinkney, Alastair M. Rucklidge, Cedric Beaume
Three-wave interactions (or resonant triads) are the lowest-order nonlinear interaction in pattern formation and arise between waves with different orientations when the sum of two…
Parametric resonance, chaos and spatial structure in the Lotka-Volterra model
Mohamed Swailem, Alastair M. Rucklidge
We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or…
Robust heteroclinic cycles in pluridimensions
Sofia B. S. D. Castro, Alastair M. Rucklidge
Heteroclinic cycles are sequences of equilibria along with trajectories that connect them in a cyclic manner. We investigate a class of robust heteroclinic cycles that does not sat…
Visibility of heteroclinic networks
Sofia B. S. D. Castro, Claire M. Postlethwaite, Alastair M. Rucklidge
The concept of stability has a long history in the field of dynamical systems: stable invariant objects are the ones that would be expected to be observed in experiments and numeri…