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In my talk I shall present a construction of a 2-torus homeomorphism $h$ homotopic to the identity with an attracting R.H. Bing's pseudocircle $C$ such that the rotation set of $h|C$ is not a unique vector. The inverse limit construction provides new examples of strange attractors with rotational chaos, that were first studied by G.D. Birkhoff in 1932. In this context, time permitting, I shall also discuss a result concerning topological entropy of graph maps, that give hereditarily indecomposable inverse limits. |
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