Preprint A128/2002
Implicit formalism for affine-like map and parabolic composition
Jacob Palis
Keywords: Homoclinic bifurcations | affine-like maps | parabolic composition | distortion

We consider two classes of surface maps, namely affine-like maps and parabolic maps, which play a central role in the analysis on non-uniformly hyperbolic dynamics. We study these maps through an implicit time-symmetric formalism and define the basic notion of distortion. We give estimates for the distortion of compositions of such maps.