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Thermodynamic Formalism for Contracting Lorenz Flows

✍ Scribed by Maria José Pacifico; Mike Todd

Book ID
106431810
Publisher
Springer
Year
2010
Tongue
English
Weight
534 KB
Volume
139
Category
Article
ISSN
0022-4715

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✍ 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