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Non-expansive derived horseshoes
Published online by Cambridge University Press: 09 April 2009
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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 65 , Issue 3 , December 1998 , pp. 405 - 415
- Copyright
- Copyright © Australian Mathematical Society 1998