We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.
Citation: |
C. Matheus, J. Palis and J. -C. Yoccoz, The Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes, work in progress.
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J. Palis
and J.-C. Yoccoz
, Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles, Publ. Math. Inst. Hautes Études Sci., 110 (2009)
, 1-217.
doi: 10.1007/s10240-009-0023-x.![]() ![]() ![]() |
Local dynamics near a heteroclinic tangency
Local dynamics near the parabolic tongues
Simple composition of affine-like maps
Parabolic composition of affine-like maps