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Showing 2005 · math.DSShow all
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math.DS2005★ 102 cited
Singular-hyperbolic attractors are chaotic
Vitor Araujo, Maria Jose Pacifico, Enrique Pujals +1
We prove that a singular-hyperbolic attractor of a 3-dimensional flow is chaotic, in two strong different senses. Firstly, the flow is expansive: if two points remain close for all…
math.DS2005
On the volume of singular-hyperbolic sets
J. F. Alves, V. Araujo, M. J. Pacifico +1
An attractor for a 3-vector field is singular-hyperbolic if all its singularities are hyperbolic and it is partially hyperbolic with volume expanding central direction. We…