Table showing the basins of attraction of certain attractors corresponding to various inscribed patterns (ξ(ν)’s) for different values of p for N = 100.
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ξ(ν′) represents the (new) attractor to which an unstable ξ(ν) converges. The basin of attraction of a stable pattern can include a Hamming distance of value zero: 0 can be one amongst the various numbers representing the basin. The basin of attraction of ξ(4) when p = 12 provides an example of this. In addition, we can see the differences in basins of attraction even between stable patterns like in ξ(1) and ξ(4) for the same value of p. Also note the anisotropy in the spread of the Hamming distances in the case of ξ(4). The basins of attraction of the stable patterns shrink in most directions as p increases, as seen for p = 14 and p = 16. The new attractors ξ(ν′) have non-zero basins of attraction.
创建时间:
2020-09-17



