Creation of blenders in the conservative setting

Abstract

In this work we prove that each C^r conservative diffeomorphism with a pair of hyperbolic periodic points of co-index one can be C^1-approximated by C^r conservative diffeomorphisms having a blender.

4 figures, 16 figures

References in corpus (2)

• New criteria for ergodicity and non-uniform hyperbolicity
• On the regularization of conservative maps

Cited by in corpus (10)

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• The local $C^1$-density of stable ergodicity
• Some results on perturbations to Lyapunov exponents
• Stable weakly shadowable volume-preserving systems are volume-hyperbolic