Olivier Hénot

Events Publications Softwares

I am currently a postdoctoral researcher at École Polytechnique, affiliated with the Center of Applied Mathematics (CMAP), where I work with Maxime Breden.

I specialize in the study of nonlinear differential equations, particularly those set on infinite dimensional spaces, such as delay and partial differential equations. I investigate aspects of dynamical system theory, with a focus on invariant manifolds, connecting orbits, as well as bifurcation analysis. This research employs numerical simulations to explore intricate dynamics, which are then rigorously coupled with analytic methods to prove ‘‘what is seen on the screen’’. This process draws from several fields, such as numerical analysis, functional analysis and approximation theory.
I also have a particular interest for applications, specifically in celestial mechanics.

Discover the astronomy picture of the day on NASA's website!

E-mail: olivier.henot@polytechnique.edu

Events

Participating in the thematic program Computational Dynamics: Analysis, Topology and Data at CRM in Montréal (Canada) during the Fall 2024

Organizer of the tutorial Computer-assisted proofs in nonlinear analysis at

Publications

PhD thesis

Advances in computer-assisted proofs: invariant manifolds and connecting orbits
at McGill University, Montréal (Canada), in 2023
Supervisor: Jean-Philippe Lessard

Softwares

I am involved in two open-source (MIT licence) projects, written in Julia: