- 2006
- The resonant structure of Jupiter's Trojan asteroids I: Long term stability and diffusion
Philippe Robutel and Frederic Gabern
preprints
(pdf, 12,5 Mo)
- 2005
- L'équation aux variations verticales d'un équilibre relatif comme source de nouvelles solutions périodiques du problème des N corps.
Chenciner, A., Féjoz, J.
(pdf, 271Ko)
- 2004
- Contribution à la théorie des perturbations des systèmes hamiltoniens et à la théorie de la résurgence,
D. Sauzin,
Mémoire en vue de l'habilitation à diriger des recherches en mathématiques
[soutenance le 04/03/2004] (pdf, 320 ko)
- Long term evolution and chaotic diffusion of the insolation quantities of Mars.
Laskar, J., Gastineau, M., Joutel, F., Robutel, P., Levrard, B., Correia, A.,: 2004,
(pdf, 3.5Mo)
- A long term numerical solution for the insolation quantities of the Earth.
Laskar, J., Robutel, P., Joutel, F., Gastineau, M., Correia, A.C.M., Levrard, B. : 2004,
(pdf, 6 Mo) and http://hal.ccsd.cnrs.fr/ccsd-00001603
- The observed Trojans and the global dynamics around the Lagrangian points of the Sun Jupiter system.
Robutel, P., Gabern, F., Jorba, A. : 2004,
(pdf, 2.3 Mo)
- 2003
- Frequency analysis and global dynamics of a planetary system
Philippe Robutel
proceedings of the school "Hamiltonian systems and Fourier analysis",
Porquerolles, sept. 2001, in press
(pdf, 740 ko)
- Frequency map analysis and quasiperiodic decompositions
Jacques Laskar
proceedings of the school "Hamiltonian systems and Fourier analysis",
Porquerolles, sept. 2001, in press
(pdf, 340 ko)
- Frequency map analysis in particle accelerators
Jacques Laskar
proceedings of PAC2003",
Portland, 12-16 may 2003
(pdf, 1Mo)
- On the accuracy of Restricted Three-Body Models for the Trojan motion
Frederic Gabern, Angel Jorba, Philippe Robutel
(To appear in "Discrete and Continuous Dynamical Systems"),
(pdf, 320 ko)
- Probing the non-linear dynamics of the ESRF storage ring with experimental frequency maps.
Y. Papaphilippou, L. Farvacque, A. Ropert, J. Laskar
proceedings of PAC2003",
Portland, 12-16 may 2003
(pdf, 536 ko)
- Different tidal torques on a planet with a dense atmosphere and consequences to the spin dynamics
A. M. Correia, J. Laskar
submitted (pdf. 228 ko)
- Chaos in the Solar System
J. Laskar
plenary conference at TH2002, Paris, july 2002
(pdf, 1.4 Mo)
- SYMMETRIES AND ``SIMPLE" SOLUTIONS OF THE CLASSICAL N-BODY PROBLEM
Alain Chenciner
ICMP, Lisbonne juillet 2003, Proceedings a paraître chez World Scientific
(pdf, 960ko)
- Compte-rendu de lecture pour la "Gazette des mathématiciens" du premier volume des OEuvres complètes de Jean Le Rond D'Alembert (premiers textes de mécanique céleste 1747-1749, sous la direction de Michelle Chapront-Touzé, CNRS Editions)
Alain Chenciner
(pdf, 160 ko)
- Rotating Eights I : the three $\Gamma_i$ families
Alain Chenciner, Jacques Féjoz and Richard Montgomery
(pdf, 224 ko)
- A comment on 'Accurate spin axes and solar system dynamics'
Jacques Laskar
(pdf, 79 ko)
- Resurgence in a Hamilton-Jacobi equation,
C. Olivé, D. Sauzin, T. Seara
Annales de l'Institut Fourier, 53, 4 [actes du colloque ``Singularités, équations différentielles et aspects mathématiques de la physique quantique'' en l'honneur de F. Pham, Nice, 1-5 juillet 2002], 1185-1235, 2003.(pdf, 380 ko)
- Resumacio de Borel i teoria de la ressurgencia,
T. M. Seara, D. Sauzin,
Butlleti de la Societat Catalana de Matematiques,
Vol. 18, n. 1, 129-151, 2003. (pdf, 224 ko)
- Two examples of resurgence,
C. Olivè, D. Sauzin, T. M. Seara,
in press Contemporary Mathematics proceedings of
``Analyzable Functions and Applications,'' ICMS, Edinburgh, 17-21 June 2002.
(pdf, 228ko)
- Nekoroshev estimates and instability for Gevrey class Hamiltonians,
D. Sauzin,
Dynamical Systems, Part I: Hamiltonian systems and celestial mechanics - Proceedings Pisa 2002, Pubblicazioni della classe di scienze, Scuola Normale Superiore, Pisa, Centro di
ricerca matematica ``Ennio De Giorgi'': Proceedings, 199-217, 2003.
(pdf, 224 ko)
- Wandering domains and random walks in Gevrey near-integrable systems,
J.-P. Marco, D. Sauzin,
Ergodic Theory and Dynamical Systems, in press (volume in memory of M. Herman).
(pdf, 484 ko)
-
- 2002
- Long term evolution of the spin of Venus - I. Theory.
Alexandre C.M. Correia, Jacques Laskar and Olivier Néron de Surgy
(pdf, 1.1 Mo)
- Long term evolution of the spin of Venus - II. Numerical simulations.
Alexandre C.M. Correia and Jacques Laskar
(pdf, 2.6 Mo)
- Action minimizing solutions of the Newtonian n-body problem
Alain Chenciner
Abstract ICM, Pékin aout 2002
(pdf, 48 ko)
- Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry
Alain Chenciner
ICM, Pékin aout 2002
(new version of 22-07-02 : it is the previous version that was included in the ICM proceedings;
the difference is a simplification in 4-2-(iv), now included in the Taiyuan proceedings)
(pdf, 496ko)
- Simple non-planar periodic solutions of the n-body problem
Alain Chenciner
NDDS Conference, Kyoto august 2002
(pdf, 168 ko)
- Some facts and more questions about the ``Eight" (version 26-09-02)
Alain Chenciner
Proceedings of the conférence ``Nonlinear functional analysis",
Taiyuan 14-18 aout 2002 (World Scientific, in press)
(pdf, 744 ko)
- Climate friction and the Earth's obliquity
Benjamin Levrard and Jacques Laskar
(pdf, 720 ko) (new version from 18-10-2002)
- 2001
- Michel Herman, la mécanique céleste et quelques souvenirs
Alain Chenciner
Gazette des mathématiciens, p. 84-90 (avril 2001)
(pdf, 120 ko)
- Simple choreographies of N bodies: a preliminary study,
Alain Chenciner, Joseph Gerver, Richard Montgomery et Carlès Simò
à paraître dans Geometry, Mechanics and Dynamics, Springer
(pdf, 646 ko)
- Action minimizing periodic orbits in the Newtonian n-body problem
Alain Chenciner
Celestial Mechanics, dedicated to Don Saari,
edited by Alain Chenciner, Richard Cushman, Clark Robinson et Zhihong Jeff Xia,
Contemporary Mathematics 292 (2002), 71-90
(pdf, 552 Ko)
- De la Mécanique Céleste à la théorie des Systèmes Dynamiques, aller et retour
Alain Chenciner
à paraître dans les actes de la conférence "Epistémologie des systèmes dynamiques", Paris Décembre 1999
(pdf, 280 Ko)
- Perverse solutions of the planar n-body problem
Alain Chenciner
à paraître dans Astérisque (actes du colloque en l'honneur de Jacob Palis, Rio de Janeiro, Juillet 2000)
(pdf, 168 Ko)
- Are there perverse choreographies ?
Alain Chenciner
à paraître dans les Proceedings du colloque HAMSYS, Guanajuato, mars 2001
(pdf, 240 Ko)
- Partial reduction in the N-body planetary problem using the angular momentum integral.
Franck Malige, Philippe Robutel, Jacques Laskar
(pdf, 844 ko)
- Global dynamics in the solar system
Philippe Robutel, Jacques Laskar
proceedings of the US/European Celestial Mechanics Workshop,
Poznan, 3-7 July 2000. Halina Pretka-Ziomek, etal, eds, Kluwer Academics Publishers, Dordrecht, p. 253-258)
(pdf, 250 ko)
- A new method for measuring the splitting of invariant manifolds,
David Sauzin
Annales Scientifiques de l'Ecole Normale Supérieure, 4e série, 34, p. 159-221, 2001.
preprint (pdf 628 Ko)
- Borel summation and splitting of separatrices for the Hénon map,
Vassili Gelfreich and David Sauzin
Annales de l'Institut Fourier, 51, 2, p. 513-563, 2001.
preprint (pdf 924 Ko)
- Quasi-analytic monogenic solutions of a cohomological equation
Stefano Marmi and David Sauzin
Memoirs of the American Mathematical Society, Vol. 164, no. 780 (2003).
( pdf 652 Ko)
- Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian Systems
J.-P. Marco, D. Sauzin,
Publications Mathématiques de l'Institut des Hautes Etudes Scientifiques, vol. 96, 199-275, 2002
(pdf, 1,2 Mo)
- 2000
- Limit at resonances of linearizations of some complex analytic dynamical systems
A.~Berretti, S.~Marmi, D. Sauzin,
Ergodic Theory and Dynamical Systems, 20, 4, p. 963-990, 2000.
(pdf, 656 Ko)
- Connaissez-vous le pendule ?
Gazette des mathématiciens, octobre 2000, p. 21-27
Alain Chenciner
(preprint, pdf, 740ko)
- Minima de l'intégrale d'action du Problème newtonien de 4 corps de masses égales dans R^3 : orbites "hip-hop",
Alain Chenciner
Celestial Mechanics, vol. 77, pp.139-152 (2000)
(preprint : pdf, 304 ko)
- A remarkable periodic solution of the three body problem in the case of equal masses
Alain Chenciner and Richard Montgomery,
Annals of Mathematics, 152, pp. 881-901 (2000)
(preprint, pdf, 380 ko)
- 1999
- Introduction to frequency map analysis
J. Laskar,
in proc. of NATO ASI Hamiltonian Systems with Three or more Degrees of Freedom,
C. Simo (ed.), Kluwer, pp. 134-150.
(preprint, pdf, 444 Ko)
- 1998
- Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des n corps.
Alain Chenciner
paru dans Regular and chaotic dynamics, V.3, 3, pp.93-106 (1998)
(pdf, 324 ko)
- Adiabatic invariant of the harmonic oscillator, complex matching and resurgence,''
C. Bonet, D. Sauzin, T. M. Seara, M. Valencia,
SIAM Journal on Math. Analysis, 29, 6, p. 1335--1360, 1998.
(pdf, 660 Ko)
- 1997
- Le problème des n corps et les distances mutuelles,
Alain Albouy et Alain Chenciner,
Inventiones mathematicae 131 pp. 151-184 (1998)
(preprint : pdf, 532 ko)
- Introduction to the N-body problem.(école d'été de Ravello)
Alain Chenciner
(pdf, 416 ko)