Wild Lorenz like attractors

R. Bamon; J. Kiwi; J. Rivera

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Wild Lorenz like attractors

R. Bamon·J. Kiwi·J. Rivera

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Abstract

We give the first examples of flows which exhibit robust singular attractors containing a wild hyperbolic set (in the sense of Newhouse). A hyperbolic set is said to be wild, if it has tangencies between its stable and unstable manifolds, in a robust way. The only restriction on the ambient manifold is that its dimension should be at least 5.

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R. Bamon, J. Kiwi, J. Rivera. 2006-01-14. Wild Lorenz like attractors. https://arxiv.org/abs/math/0508045

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