arXiv:1910.03361 Abstract | arXiv Analytics

arXiv:1910.03361 [math.DS]Abstract References Reviews Resources

Topological properties of Lorenz maps derived from unimodal maps

Published 2019-10-08Version 1

A symmetric Lorenz map is obtain by ``flipping'' one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and also to find cases where the unimodal map restricted to the critical omega-limit set is conjugate to a Sturmian shift. This has connections with properties of unimodal inverse limit spaces embedded as attractors of some planar homeomorphisms.

Categories: math.DS

Subjects: 37E05, 37E10, 37E15, 37E30, 37E45

Keywords: topological properties, symmetric lorenz map, unimodal inverse limit spaces, symmetric unimodal map, critical omega-limit set

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