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Séminaire : Modélisation et Calcul Scientifique
Numerical continuation methods for slow-fast dynamical systems - application to neuronal systems
- Date : 11/12/2012
- Place : Amphithéâtre Alan Turing
- Guests : Mathieu Desroches, Inria & U. of Bristol, UK
- Organisers : Irène Vignon-Clementel
Numerical continuation refers to a family of numerical schemes of predictor-corrector type, which allow to compute solution branches of nonlinear equations depending on one or several parameters. In this talk, I will start by presenting the essentials of pseudo-arclength continuation in the context of parametrized families of differential equations. I will then explain the advantages of using it for equations with multiple time scales, in particular when computing invariant dynamical objects (slow manifolds) and special solutions (e.g. canard orbits, mixed-mode oscillations, bursting oscillations) by continuing families of well-posed boundary-value problems. I will illustrate this approach with examples of neuronal models, both models for single neurons and coupled systems.
Keywords: Modélisation et Calcul Scientifique Séminaire Centre de recherche Inria Paris - Rocquencourt
Infos pratiques
- Horaire : 11h
- Entrée libre
