论文标题

直接产品的吸引者

Attractors of direct products

论文作者

Minkov, Stanislav, Shilin, Ivan

论文摘要

对于Milnor,统计和最少的吸引子,我们在$ S^2 $上构建了$ S^2 $上的平滑流量$φ$的例子,$ s^2 $ $φ$的吸引子比$φ$的吸引者的笛卡尔广场小。在最小吸引子的示例中,流$φ$也具有全球物理度量,因此其正方形与平方的全局物理度量不一致。$φ$。

For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $φ$ on $S^2$ for which the attractor of the Cartesian square of $φ$ is smaller than the Cartesian square of the attractor of $φ$. In the example for the minimal attractors, the flow $φ$ also has a global physical measure such that its square does not coincide with the global physical measure of the square of $φ$.

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