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Browsing Mathematics by Author "Podvigina, Olga"
Podvigina, Olga; Ashwin, Peter (Elsevier, 2007)Methods of equivariant bifurcation theory are applied to Boussinesq convection in a plane layer with stress-free horizontal boundaries and an imposed square lattice periodicity in the horizontal directions. We consider ...
Ashwin, Peter; Podvigina, Olga (Royal Society, 2003)We examine the dynamics of generic Hopf bifurcation in a system that is symmetric under the action of the rotational symmetries of the cube. We classify the generic branches of periodic solutions at bifurcation; there are ...
Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection Ashwin, Peter; Podvigina, Olga (American Institute of Physics (AIP), 2010)We investigate the robust heteroclinic dynamics arising in a system of ordinary differential equations in R4 with symmetry D4⋉(Z2)2. This system arises from the normal form reduction of a 1:2√ mode interaction for Boussinesq ...
Podvigina, Olga; Ashwin, Peter (Institute of Physics, 2011)