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We construct an auto-validated algorithm that calculates a close to identitychange of variables which brings a general saddle point into a normal form. Thetransformation is robust in the underlying vector field, and is analytic on acomputable neighborhood of the saddle point. The normal form is suitable forcomputations aimed at enclosing the flow close to the saddle, and the time ittakes a trajectory to pass it. Several examples illustrate the usefulness ofthis method.

Automated computation of robust normal forms of planar analytic vector fields