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Stochastic Stability¶for Contracting Lorenz Maps and Flows

✍ Scribed by R. J. Metzger


Book ID
105903995
Publisher
Springer
Year
2000
Tongue
English
Weight
170 KB
Volume
212
Category
Article
ISSN
0010-3616

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Sinai–Ruelle–Bowen measures for contract
✍ Roger J Metzger 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 204 KB

We consider a large class of one-dimensional maps arising from the contracting Lorenz attractors for three dimensional flows: the eigenvalues λ 2 < λ 1 < 0 < λ 3 of the flow at the singularity satisfy λ 1 + λ 3 < 0 (instead of λ 1 + λ 3 > 0 as in the classical geometric Lorenz models). Such flows we