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Lorenz attractors with arbitrary expanding dimension. (English. Abridged French version) Zbl 0896.58043
The authors construct examples of flows with robust multidimensional Lorenz-like attractors. In these examples, the singularity contained in the attractor may have any number of expanding eigenvalues, and the attractor remains transitive in a neighborhood of the initial flow. Furthermore, each of these attractors supports a unique Sinai-Ruelle-Bowen (SRB) measure. In addition, contrary to the standard (three-dimensional) Lorenz attractor, these attractors have infinite modulus of structural stability.

MSC:
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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