3 papers
math.DS2026
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…
math.DS2026
Local interaction of two systems with saddle-node bifurcations: mutualistic and mixed cases
Peter Ashwin, Claire Postlethwaite, Jan Sieber
The saddle-node bifurcation is the simplest example of a generic bifurcation in smooth ordinary differential equations, and is associated with the creation or destruction of a pair…
math.DS2025
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…