Topological entropy of Lorenz-like flows

Published 3 Dec 2014 in math.DS | (1412.1207v1)

Abstract: We use entropy theory as a new tool for studying Lorenz-like classes of flows in any dimension. More precisely, we show that every Lorenz-like class is entropy expansive, and has positive entropy which varies continuously with vector fields. We deduce that every such class contains a transverse homoclinic orbit and, generically, is an attractor.

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Jiagang Yang

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