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- W1971873541 abstract "We consider the collapse of a saddle of a horseshoe and a sink via a critical saddle-node bifurcation. In this way one obtains a saddle-node horseshoe. We prove that there is an open set of arcs of diffeomorphisms {f_mu}_{mu in I} unfolding generically, say at mu_0, a saddle-node horseshoe with Hausdorff dimension arbitrarily close to 1/2 so that there is an interval (mu_0, mu_0+varepsilon) in the parameter line such that every diffeomorphism f_mu, muin (mu_0, mu_0+delta), has a tangency." @default.
- W1971873541 created "2016-06-24" @default.
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- W1971873541 date "2002-08-01" @default.
- W1971873541 modified "2023-09-27" @default.
- W1971873541 title "Critical saddle-node cycles: Hausdorff dimension and persistence of tangencies" @default.
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- W1971873541 doi "https://doi.org/10.1017/s0143385702000500" @default.
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