Jp. Francoise et Y. Yomdin, BERNSTEIN INEQUALITIES AND APPLICATIONS TO ANALYTIC-GEOMETRY AND DIFFERENTIAL-EQUATIONS, Journal of functional analysis, 146(1), 1997, pp. 185-205
We introduce new methods of complex analysis (inequalities of Bernstei
n type) to study projections of analytic sets. These techniques are ap
plied to problems of bifurcations of periodic orbits of differential e
quations such as the local Hilbert's 16th problem. (C) 1997 Academic P
ress.