4 papers
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…
The onset of convection in a rotating layer of viscous fluid with an imposed magnetic field: dependence on the Prandtl numbers
Olga Podvigina
We consider the onset of Boussinesq convection in a horizontal layer of electrically conducting incompressible fluid with rigid electrically insulating horizontal boundaries. The f…
A route to magnetic field reversals: an example of an ABC-forced non-linear dynamo
Olga M. Podvigina
We are investigating numerically the non-linear behavior of a space-periodic MHD system with ABC forcing. Most computations are performed for magnetic Reynolds numbers increasing f…