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Rotation sets for some non-continuous maps of degree one. (English) Zbl 0822.58014
Summary: Iteration of liftings of non necessarily continuous maps of the circle into itself are considered as discrete dynamical systems of dimension one. The rotation set is proven to be a powerful tool to study the set of possible periods and the behaviour of orbits for continuous and old heavy maps. An extension of the class of maps for which the rotation set maintains this power is given.
MSC:
37E99 Low-dimensional dynamical systems
26A18 Iteration of real functions in one variable
54H20 Topological dynamics (MSC2010)
37G99 Local and nonlocal bifurcation theory for dynamical systems
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