Sufficient conditions for a partially hyperbolic attractor to be a homoclinic class |
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| Authors: | CA Morales |
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| Institution: | Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, Brazil |
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| Abstract: | 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 Wu(σ)∩Ws(O)≠∅ such that Ws(σ) is dense in Λ. |
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| Keywords: | primary 37D30 secondary 37D45 |
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