most citedRenormalization and conjugacy of piecewise linear Lorenz maps

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math.DS2009★ 2 cited

Renormalization and conjugacy of piecewise linear Lorenz maps

Hong-Fei Cui, Yi-Ming Ding

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…

math.DS2007★ 1 cited

Renormalization and alpha-limit set for expanding Lorenz maps

Yiming Ding

We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enable us to distinguish periodic and non-…