Research
I am a postdoc at VU University Amsterdam under supervision of Jan Bouwe van den Berg .Research Interests
My research mainly concerns rigorous computations applied to finite and infinite dimensional dynamical systems. For instance
- prove existence, within rigorous bounds, of stationary solutions, steady states, periodic orbits for dynamical systems, ODEs, PDEs
- study the stability properties of the invariant sets
- parametrize the invariant manifolds and compute connecting orbits both for ODEs and PDEs.
- Singular dynamical system: regularization of the singularity in case of homogeneous or logarithmic type potential. Application to the N-center problem and to the model of the dynamics of vortex filaments. Variational approach to prove existence of non-collision solutions and symbolic dynamics for the N-center problem
- Astrodynamics: analysis and numerics in the restricted three-body problem with application to mission design.
Some talks
- Non collision periodic solutions for the planar N-center problem with mild topological assumptions
- High order parametrisation of invariant manifolds for periodic orbits
- Dynamical system theory and numerical methods applied to Astrodynamics
- Application of the Circular Restricted Three-Body problem to mission design.
Some links
- DyToComp 2015 , June 15-20, 2015, Bedlewo, Poland.
- Summer meeting of the Canadian Mathematical Society , June 5-8, 2015 Charlottetown, Canada.
- The Third BCAM Workshop on Computational Mathematics, July 17-18, 2014, BCAM, Bilbao, Spain.
- The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 07-11, 2014 Madrid, Spain.
