45 citations · 274 across the 22 of their papers we have counts for
4 papers · 1 filter
Asymptotic stability of robust heteroclinic networks
Olga Podvigina, Sofia B. S. D. Castro, Isabel S. Labouriau
We provide conditions guaranteeing that certain classes of robust heteroclinic networks are asymptotically stable. We study the asymptotic stability of ac-networks --- robust heter…
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…
Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection
Olga Podvigina, Sofia B. S. D. Castro, Isabel S. Labouriau
This article is concerned with three heteroclinic cycles forming a heteroclinic network in . The stability of the cycles and of the network are studied. The cycles a…
Asymptotic stability of pseudo-simple heteroclinic cycles in R^4
Olga Podvigina, Pascal Chossat
Robust heteroclinic cycles in equivariant dynamical systems in R^4 have been a subject of intense scientific investigation because, unlike heteroclinic cycles in R^3, they can have…