Séminaire Orléans
Bifurcation theory for SPDEsAlexandra Neamtu Blessing (Constance)
Thursday 28 March 2024 14:00 - Orléans - Salle de Séminaires
Résumé :
We consider a stochastic partial differential equation close to bifurcation of pitchfork type, where a one-dimensional space changes its stability. This is quantified by a change of sign in the finite-time Lyapunov exponents (FTLEs). For FTLEs we characterize regions depending on the distance from bifurcation and the noise strength where FTLEs are positive and thus detect changes in stability. One technical tool is the reduction of the essential dynamics of the infinite dimensional stochastic system to a simple stochastic differential equation, which is valid close to the bifurcation. This talk is based on joint works with Alex Blumenthal, Maximilian Engel and Dirk Blömker.
Liens :