Laurent Niederman
University of Paris
17 Papers
99 Citations
Laurent Niederman is an academic researcher from University of Paris. The author has contributed to research in topics: Hamiltonian system & Integrable system. The author has an hindex of 9, co-authored 16 publications. Previous affiliations of Laurent Niederman include Département de Mathématiques & Centre national de la recherche scientifique.
Chat about Author
Papers
Generic Nekhoroshev theory without small divisors
TL;DR: In this article, a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems is presented. But this approach is restricted to generic integrable Hamiltonians and cannot handle generic nonanalytic Hamiltonians.
Stability over exponentially long times in the planetary problem.
Laurent Niederman
- 01 Jan 1995
TL;DR: In this article, the authors apply to the planetary problem the theorems proved by Lochak about stability for near integrable Hamiltonian systems over timescales which are exponentially long with respect to the inverse of the size of the perturbation.
40
•Posted Content
Generic Nekhoroshev theory without small divisors
TL;DR: In this article, a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems is presented. But this approach is restricted to generic integrable Hamiltonians and cannot handle generic nonanalytic Hamiltonians.
Hamiltonian stability and subanalytic geometry
TL;DR: The notion de raideur was introduced in this paper for etudier la stabilite effective des systemes Hamiltoniens quasi-integrables, a condition geometrique simple that is equivalent to a condition for a fonction reelle analytique.
Superexponential Stability of Quasi-Periodic Motion in Hamiltonian Systems
TL;DR: In this paper, it was shown that an invariant Lagrangian Diophantine torus of a Hamiltonian system is doubly exponentially stable in the sense that nearby solutions remain close to the torus for an interval of time which is exponentially large.
18