Journal of the Australian Mathematical Society - Series A Vol. 65 Part 3 (1998) Non-expansive derived horseshoes Kazuhiro Sakai Department of Mathematics Kanagawa University Yokohama 221-8686 Japan e-mail: kazsaka@cc.kanagawa-u.ac.jp Abstract: For a two parameter family of C3 diffeomorphisms having a homoclinic orbit of tangency derived from a horseshoe, the relationship between the measure of the parameter values at which the diffeomorphism (restricted to a certain compact invariant set containing the horseshoe) is not expansive and the Hausdorff dimension of the horseshoe associated to the homoclinic orbit of tangency is investigated. This is a simple application of the Newhouse-Palis-Takens-Yoccoz theory. PDF file size: 84K © Copyright 1998, Australian Mathematical Society