Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review

Details Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review

1998-04-30

arxiv.org/abs/chao-dyn/9804044v1

Publications Math\'ematiques de l'IHES, special volume, p. 99--117, 1998, (ed.J.P. Bourguignon, L. Michel)

Nonlinear Sciences

Chaotic Dynamics

70 Kb; 15 pages, plain TeX, 3 figures

Scientific paper

On the occasion of the 40-th anniversary of IHES I present a few scientific reminiscences: most of my scientific life has been marked by my visits and I run through them concluding with the analysis of a problem that originated during my last visit. The problem is to develop a convergent perturbative algorithm for the construction of the ``Eliasson's potential'' for the stable and unstable manifolds of an invariant torus: and to study its properties. A brief review follows.

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