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arXiv · 2103.16979

Complete invariants and parametrization of expansive Lorenz maps

Yiming Ding·Yun Sun
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Abstract

We obtain the complete conjugacy invariants of expansive Lorenz maps and for any given two expansive Lorenz maps, there are two unique sequences of $(\beta_{i},\alpha_{i})$ 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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Yiming Ding, Yun Sun. 2021-03-31. Complete invariants and parametrization of expansive Lorenz maps. https://arxiv.org/abs/2103.16979

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