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Problems of linearization in some families of analytic germs.
We are interested in the linearization of some families of analytic germs. By generalizing definitions and properties of transfinite diameter, we obtain a polynomial... -
General Planetary Theory. Orbital elements of the planets over 1 million years
In this work, the planetary averaged equations are computed to high order using dedicated computer algebra. The resulting system comprises more than 150 000 polynomial... -
Big denominators and analytic normal forms with an appendix by M. Zhitomirskii
We study the {\it regular} action of an analytic pseudo-group of transformations on the space of germs of various analytic objects of local analysis and local... -
Smooth Gevrey normal forms of vector fields near a fixed point
International audience -
Normalization of holomorphic vector fields and implicit differential equations
The aim of the classical theory of normal forms is to simplify complicated problems by using regular changes of coordinates, in order to keep the dynamical...
