8.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR525 papers
- Observatoire de ParisFR400 papers
- Sorbonne UniversitéFR291 papers
- Université Paris Sciences et LettresFR239 papers
- Université Pierre-et-Marie-CurieFR129 papers
- Observatoire de la Côte d’AzurFR126 papers
- University of GenevaCH125 papers
- Université de LilleFR117 papers
- University of LiègeBE116 papers
- Institut d'Astrophysique de ParisFR110 papers
- Université Paris CitéFR108 papers
- Laboratoire d’études spatiales et d’instrumentation en astrophysiqueFR107 papers
18 papers · 1 filter
Irreversibility, least action principle and causality
Jacky Cresson, Pierre Inizan
The least action principle, through its variational formulation, possesses a finalist aspect. It explicitly appears in the fractional calculus framework, where Euler-Lagrange equat…
Lagrangian structures for the Stokes, Navier-Stokes and Euler equations
Jacky Cresson, Sébastien Darses
We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with…
The Lyapunov Characteristic Exponents and their computation
Charalampos Skokos
We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for dynamical systems, as well as of the numerical techniques developed for the computation of the…
Stellar wobble caused by a binary system: Can it really be mistaken as an extra-solar planet?
Maria H. M. Morais, Alexandre C. M. Correia
The traditional method for detecting extra-solar planets relies on measuring a small stellar wobble which is assumed to be caused by a planet orbiting the star. Recently, it was su…
Fractional embeddings and stochastic time
Jacky Cresson, Pierre Inizan
As a model problem for the study of chaotic Hamiltonian systems, we look for the effects of a long-tail distribution of recurrence times on a fixed Hamiltonian dynamics. We follow…
The resonant structure of Jupiter's trojan asteroids-II. What happens for different configurations of the planetary system
Philippe Robutel, Julien Bodossian
In a previous paper, we have found that the resonance structure of the present Jupiter Trojan swarms could be split up into four different families of resonances. Here, in a first…
Homogeneous fractional embeddings
Pierre Inizan
Fractional equations appear in the description of the dynamics of various physical systems. For Lagrangian systems, the embedding theory developped by Cresson ["Fractional embeddin…
On the equilibrium rotation of Earth-like extra-solar planets
Alexandre C. M. Correia, Benjamin Levrard, Jacques Laskar
The equilibrium rotation of tidally evolved "Earth-like" extra-solar planets is often assumed to be synchronous with their orbital mean motion. The same assumption persisted for Me…
Unchained polygons and the N-body problem
Alain Chenciner, Jacques Féjoz
The simplest solutions of the N-body problem --symmetric relative equilibria-- are shown to be organizing centers from which stem some recently studied classes of periodic solution…
Injection of Oort Cloud Comets: The Fundamental Role of Stellar Perturbations
H. Rickman, M. Fouchard, Ch. Froeschlé +1
We present Monte Carlo simulations of the dynamical evolution of the Oort cloud over the age of the Solar System, using an initial sample of one million test comets without any clo…
Main Belt Binary Asteroidal Systems With Eccentric Mutual Orbits
F. Marchis, P. Descamps, J. Berthier +5
Using 8m-10m class telescopes and their Adaptive Optics (AO) systems, we conducted a long-term adaptive optics campaign initiated in 2003 focusing on four binary asteroid systems:…
Main Belt Binary Asteroidal Systems With Circular Mutual Orbits
F. Marchis, P. Descamps, M. Baek +5
In 2003, we initiated a long-term adaptive optics campaign to study the orbit of various main-belt asteroidal systems. Here we present a consistent solution for the mutual orbits o…
Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi--Pasta--Ulam lattices by the Generalized Alignment Index method
Charalampos Skokos, Tassos Bountis, Chris Antonopoulos
The recently introduced GALI method is used for rapidly detecting chaos, determining the dimensionality of regular motion and predicting slow diffusion in multi--dimensional Hamilt…
Chaotic diffusion in the Solar System
Jacques Laskar
A statistical analysis is performed over more than 1001 different integrations of the secular equations of the Solar system over 5 Gyr. With this secular system, the probability of…
Global dynamics of coupled standard maps
T. Manos, Ch. Skokos, T. Bountis
Understanding the dynamics of multi--dimensional conservative dynamical systems (Hamiltonian flows or symplectic maps) is a fundamental issue of non-linear science. The Generalized…
Mould Calculus for Hamiltonian Vector Fields
Jacky Cresson, Guillaume Morin
We present the general framework of Écalle's moulds in the case of linearization of a formal vector field without and within resonances. We enlighten the power of moulds by their u…
Formes d'astéroïdes et formation de satellites : rôle de la réaccumulation gravitationnelle
Jean-François Consigli, Paolo Tanga, Carlo Comito +2
Asteroid shapes and satellites: role of gravitational reaccumulation. Following current evidences, it is widely accepted that many asteroids would be "gravitational aggregates", i.…
Initiation to mould calculus through the example of saddle-node singularities
David Sauzin
This article proposes an initiation to Écalle's mould calculus, a powerful combinatorial tool which yields surprisingly explicit formulas for the normalising series attached to an…