Journal of the Australian Mathematical Society  Series A
Vol. 65 Part 3 (1998)
Nonexpansive derived horseshoes
Kazuhiro Sakai
Department of Mathematics
Kanagawa University
Yokohama 2218686
Japan
email: kazsaka@cc.kanagawau.ac.jp
Abstract:
For a two parameter family of C^{3} 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 NewhousePalisTakensYoccoz theory.
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