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SRB measures of singular hyperbolic attractors by Veconi, Dominic is a scholarly article available to read on EtoBox.

What is SRB measures of singular hyperbolic attractors about?

It is known that nonuniformly hyperbolic maps admitting singularities have at most countably many ergodic Sinai-Ruelle-Bowen (SRB) measures. These maps include the Belykh attractor, the geometric Lorenz attractor, and more general Lorenz-type systems. In this paper, we establish easily verifiable sufficient conditions guaranteeing that the number of ergodic SRB measures is at most finite, and provide examples and nonexamples showing that the conditions are necessary in general.

Author

Veconi, Dominic

Published

2021

Language

EN