Abstract
The multidimensional Lorenz attractors (Bonatti et al. in C R Acad Sci 325(8):883–888,1997) were the first examples of robust attractors for vector fields exhibiting a singularity with more than one expanding eigenvalue. In this paper we show that such attractors are homoclinic classes.
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The Authors S. Bautista and J. D. Rojas were partially supported by CNPq, PNPD/CAPES, UFRJ and UNAL from Colombia.
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Bautista, S., Rojas, J.D. The Multidimensional Lorenz Attractor is a Homoclinic Class. Qual. Theory Dyn. Syst. 14, 1–9 (2015). https://doi.org/10.1007/s12346-014-0123-y
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DOI: https://doi.org/10.1007/s12346-014-0123-y