Renormalization and conjugacy of piecewise linear Lorenz maps

Details Renormalization and conjugacy of piecewise linear Lorenz maps Renormalization and conjugacy of piecewise linear Lorenz maps

2009-06-17

arxiv.org/abs/0906.3131v3

Mathematics

Dynamical Systems

18 pages, 1 figure

Scientific paper

For each piecewise linear Lorenz map that expand on average, we show that it
admits a dichotomy: it is either periodic renormalizable or prime. As a result,
such a map is conjugate to a $\beta$-transformation.

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