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Open Accesshttps://doi.org/10.1016/j.jde.2010.05.014
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Cite Journal: Journal of Differential Equations |  Publication Date: Jun 4, 2010 |
 Citations: 2 |  License type: publisher-specific-oa |
Affiliation: Universidade Federal do Rio de Janeiro
We prove that a partially hyperbolic attractor with two-dimensional central direction Λ is a homoclinic class if it exhibits a hyperbolic periodic orbit O and a Lorenz-like singularity σ with W u ( σ ) ∩ W s ( O ) ≠ ∅ such that W s ( σ ) is dense in Λ.
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