In an earlier paper the second author made a study of the knotted periodic orbits in a strange attractor for a set of differential equations in a paper by Clark Robinson. The attractor is modeled by a Lorenz-like template. It was shown that the knots and links are positive but need not be positive braids. Here we show that they are fibered, have positive signature, and that each knot-type appears infinitely often. We then construct a zeta type function that counts periodic orbits by the twisting of the local stable manifolds.

中文翻译：

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更多关于鲁滨逊吸引子的打结

在第二篇论文的早期作者克拉克·罗宾逊（Clark Robinson）的论文中，第二作者研究了一个奇异吸引子中打结的周期性轨道，并求出了一组微分方程。吸引子由类似Lorenz的模板建模。结果表明，结和链节是正向的，但不一定是正向的辫子。在这里，我们显示它们是纤维状的，具有正签名，并且每个结类型都无限频繁地出现。然后，我们构造一个zeta型函数，该函数通过扭转局部稳定流形来计算周期轨道。