We construct a 2-torus homeomorphism homotopic to the identity with an attracting R. H. Bing's pseudocircle such that the rotation set of is not a unique vector. The only known examples of such an attractor were Birkhoff's attractors, arising for dissipative maps with a twist. Our construction relies heavily on the Barge-Martin method for constructing attractors as inverse limits of graphs.
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机译：我们用吸引人的R. H. Bing的伪圆构造一个与身份有关的2-torus同胚同构，以使旋转集不是唯一的向量。这种吸引子的唯一已知例子是伯克霍夫的吸引子，其产生于带有扭曲的耗散地图。我们的构造在很大程度上依赖于Barge-Martin方法将吸引子构造为图的逆极限。
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