4 papers
Moduli of stability for heteroclinic cycles of periodic solutions
Maria Carvalho, Alexander Lohse, Alexandre Rodrigues
We consider vector fields in the three dimensional sphere with an attracting heteroclinic cycle between two periodic hyperbolic solutions with real Floquet multipliers. The p…
Almost complete and equable heteroclinic networks
Peter Ashwin, Sofia Castro, Alexander Lohse
Heteroclinic connections are trajectories that link invariant sets for an autonomous dynamical flow: these connections can robustly form networks between equilibria, for systems wi…
Heteroclinic Dynamics of Localized Frequency Synchrony: Stability of Heteroclinic Cycles and Networks
Christian Bick, Alexander Lohse
In the first part of this paper, we showed that three coupled populations of identical phase oscillators give rise to heteroclinic cycles between invariant sets where populations s…
Simple heteroclinic networks in
Olga Podvigina, Alexander Lohse
We classify simple heteroclinic networks for a -equivariant system in with finite , proceeding as follows: we define a graph associated with…