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math.CA2006
Rotation of Trajectories of Lipschitz Vector Fields
Georges Comte, Yosef Yomdin
We prove that in finite time a trajectory of a Lipschitz vector field in $\hbox{\bbbb R}^{\hbox{\tmm n}}$ can not have infinite rotation around a given point. This result extends t…
math.CA2006
Analytic continuation and fixed points of the Poincare mapping for a polynomial Abel equation
J. -P. Francoise, N. Roytvarf, Y. Yomdin
We consider an Abel polynomial differential equation. For two given points a and b, the "Poincare mapping" of the equation transforms the values of its solution at a into their val…