Otro
Hausdorff dimension for non-hyperbolic repellers II: Da diffeomorphisms
Registro en:
Discrete and Continuous Dynamical Systems, v. 13, n. 5, p. 1125-1152, 2005.
1078-0947
10.3934/dcds.2005.13.1125
WOS:000230532200002
2-s2.0-28444472020.pdf
2-s2.0-28444472020
0000-0002-9304-0655
Autor
Horita, Vanderlei
Viana, Marcelo
Resumen
We study non-hyperbolic repellers of diffeomorphisms derived from transitive Anosov diffeomorphisms with unstable dimension 2 through a Hopf bifurcation. Using some recent abstract results about non-uniformly expanding maps with holes, by ourselves and by Dysman, we show that the Hausdorff dimension and the limit capacity (box dimension) of the repeller are strictly less than the dimension of the ambient manifold.