0000000000035877

AUTHOR

Mathilde Kammerer-colin De Verdière

showing 2 related works from this author

More compact invariant manifolds appearing in the non-linear coupling of oscillators

2006

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).

Pure mathematicsNon linear couplingMathematical analysisVector fieldGeneral MedicineDiffeomorphismInvariant (mathematics)MathematicsComptes Rendus Mathematique
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Stable products of spheres in the non-linear coupling of oscillators or quasi-periodic motions

2004

Abstract For generic families of vector fields or transformations, normally hyperbolic invariant products of spheres appear near partially elliptic rest points. To cite this article: M. Kammerer-Colin de Verdiere, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

Saddle pointNon linear couplingVector fieldGeometrySPHERESGeneral MedicineMathematics::Spectral TheoryQuasi periodicInvariant (mathematics)Mathematical physicsMathematicsComptes Rendus Mathematique
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