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- W2045542726 abstract "Abstract We consider a large class of one-dimensional maps arising from the contracting Lorenz attractors for three dimensional flows: the eigenvalues λ2 0 as in the classical geometric Lorenz models). Such flows were studied by A. Rovella who showed that non-uniform expansiveness is a persistent form of behavior (positive Lebesgue measure sets of parameters). Using mainly expansiveness, we prove the existence of absolutely continuous measures invariant under these maps, and from this fact we are able to construct Sinai–Ruelle–Bowen measures for the original flows that generate them." @default.
- W2045542726 created "2016-06-24" @default.
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- W2045542726 date "2000-03-01" @default.
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- W2045542726 title "Sinai–Ruelle–Bowen measures for contracting Lorenz maps and flows" @default.
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- W2045542726 doi "https://doi.org/10.1016/s0294-1449(00)00111-6" @default.
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