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arXiv 2103.16979math.DS
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Complete invariants and parametrization of expansive Lorenz maps

Yiming Ding, Yun Sun

英文摘要:

We obtain the complete conjugacy invariants of expansive Lorenz maps and for any given two expansive Lorenz maps, there are two unique sequences of $(β_{i},α_{i})$ pairs. In this way, we can define the classification of expansive Lorenz maps. Moreover, we investigate the uniform linearization of expansive Lorenz maps through periodic renormalization.

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