J
Jean-Pierre Marco
Researcher at University of Paris
Publications - 9
Citations - 327
Jean-Pierre Marco is an academic researcher from University of Paris. The author has contributed to research in topics: Integrable system & Hamiltonian system. The author has an hindex of 5, co-authored 7 publications receiving 299 citations.
Papers
More filters
Journal ArticleDOI
Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
Jean-Pierre Marco,David Sauzin +1 more
TL;DR: In this article, the stability of action variables for Gevrey quasi-convex near-integrable Hamiltonian systems was studied, and it was shown that 1/2nα is the optimal exponent for the time of stability and b = 1 2n as an exponent for radius of confinement of the action variables.
Journal ArticleDOI
On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
TL;DR: The Hamiltonian Symplectic geometry and the splitting of invariant manifolds have been studied in this article, where the splitting matrix is estimated by the Hamilton-Jacobi method for a simple resonance.
Journal ArticleDOI
Diffusion times and stability exponents for nearly integrable analytic systems
Pierre Lochak,Jean-Pierre Marco +1 more
TL;DR: In this paper, a sequence of analytic perturbations of the completely integrable Hamiltonian was constructed for a positive integer n and R>0, where R>1 and n≥4 were used to estimate the time of drift in the action space.
Journal ArticleDOI
Polynomial entropies and integrable Hamiltonian systems
TL;DR: Two numerical conjugacy invariants of dynamical systems — the polynomial entropy and the weak polynometric entropy — are introduced which are well-suited for the study of “completely integrable” Hamiltonian systems.
Journal ArticleDOI
Polynomial entropies for Bott integrable Hamiltonian systems
TL;DR: In this article, the entropy of a Hamiltonian flow in restriction to an energy level where it admits a first integral which is non-degenerate in the sense of Bott is studied.