2 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.DS2024
Analysis of dynamics near heteroclinic networks in with a projected map
David C. Groothuizen Dijkema, Vivien Kirk, Claire M. Postlethwaite
Heteroclinic cycles and networks are structures in dynamical systems composed of invariant sets and connecting heteroclinic orbits, and can be robust in systems with invariant subs…