The Rovella attractor is a homoclinic class |
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| Authors: | Roger J Metzger Carlos A Morales |
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| Institution: | (1) Instituto de Matemática y Ciencias Afines, IMCA, Jr. Ancash 536, Lima 1, PERU;(2) Instituto de Matematica, Universidade Federal do Rio de Janeiro, 68530, 21945-970 Rio de Janeiro, BRAZIL |
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| Abstract: | Rovella proved the existence of measure-persistent attractors for flows exhibiting a unique singularity with three real eigenvalues
satisfying λ2 < λ3 < 0 < λ1 < −λ3 (Ro]). In this paper we prove that most of them are in fact homoclinic classes.
*Partially supported by IMPA and CNPq.
**Partially supported by CNPq, FAPERJ and PRONEX/DYN-SYS. from Brazil. |
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| Keywords: | Rovella Attractor Contracting Lorenz Attractor Homoclinic Class |
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