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Elliptic isles in families of area-preserving maps

  • P. DUARTE (a1)

Abstract

We prove that every one-parameter family of area-preserving maps unfolding a homoclinic tangency has a sequence of parameter intervals, approaching the bifurcation parameter, where the dynamics exhibits wild hyperbolic sets accumulated by elliptic isles. This is a parametric conservative analogue of a famous theorem of Newhouse on the abundance of wild hyperbolic sets.

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Elliptic isles in families of area-preserving maps

  • P. DUARTE (a1)

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