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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…