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Density of hyperbolicity and homoclinic bifurcations for attracting topologically hyperbolic sets

机译:Density of hyperbolicity and homoclinic bifurcations for attracting topologically hyperbolic sets

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Given a topologically hyperbolic attracting set of a smooth three dimensional Kupka-Smale diffeomorphism, it is proved under some dissipation hypothesis, that either the set is hyperbolic or the diffeomorphism is C-1-approximated by another one exhibiting either a heterodimensional cycle or a homoclinic tangency.

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