More compact invariant manifolds appearing in the non-linear coupling of oscillators |
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| Authors: | Marc Chaperon Mathilde Kammerer-Colin De Verdière Santiago López De Medrano |
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| Institution: | 1. Institut de mathématiques de Jussieu & université Paris 7, UFR de mathématiques, case 7012, 2, place Jussieu, 75251 Paris cedex 05, France;2. Université de Bourgogne, laboratoire de topologie, UMR 5584 du CNRS, B.P. 47870, 21078 Dijon cedex, France;3. Facultad de Ciencias & Instituto de Matemáticas, UNAM, Ciudad Universitaria, México, D.F., 04510, Mexico |
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| Abstract: | Near partially elliptic rest points of generic families of vector fields or transformations, many types of normally hyperbolic invariant compact manifolds can appear, diffeomorphic to intersections of quadrics. To cite this article: M. Chaperon et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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