arXiv subjects

Jernej Činč

Publications and source records attributed to Jernej Činč.

20 records · Page 2Linked to original sources

arXiv2019

Topological properties of Lorenz maps derived from unimodal maps

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.

math.DS↗

arXiv2019

Folding points of unimodal inverse limit spaces

We study the properties of folding points and endpoints of unimodal inverse limit spaces. We distinguish between non-end folding points and three types of end-points (flat, spiral and nasty) and give conditions for their existence and prevalence. Additionally, we give a characterisation of tent inverse limit spaces for which the set of folding points equals the set of endpoints.

math.DS↗