The Scientific Legacy of Poincare

Poincare and his disk by E. Ghys Differential equations with algebraic coefficients over arithmetic manifolds by N. Bergeron Poincare and analytic number theory by E. Kowalski The theory of limit cycles by J.-P. Francoise Singular points of differential equations: On a theorem of Poincare by D. Cerveau Periodic orbits of the three body problem: Early history, contributions of Hill and Poincare, and some recent developments by M. Nauenberg On the existence of closed geodesics by N. Anantharaman Poincare's memoir for the Prize of King Oscar II: Celestial harmony entangled in homoclinic intersections by F. Beguin Variations on Poincare's recurrence theorem by E. Ghys Low-dimensional chaos and asymptotic time behavior in the mechanics of fluids by G. Boffetta, G. Lacorata, and A. Vulpiani The concept of ''residue" after Poincare: Cutting across all of mathematics by A. Yger The proof of the Poincare conjecture, according to Perelman by L. Bessieres, G. Besson, and M. Boileau Henri Poincare and the partial differential equations of mathematical physics by J. Mawhin Poincare's calculus of probabilities by P. Cartier Poincare and geometric probability by M. M. France Poincare and Lie's third theorem by P.-P. Grivel The Poincare group by M. Le Bellac Henri Poincare as an applied mathematician by Y. Pomeau Henri Poincare and his thoughts on the philosophy of science by G. Heinzmann