Reconstruction and cross-prediction in coupled map lattices using spatio-temporal embedding techniques
Reconstruction and cross-prediction in coupled map lattices using spatio-temporal embedding techniques
复制标题
DOI：
10.1016/s0375-9601(98)00541-6
复制
发表时间：
1998-10-05
影响因子：
2.6
通讯作者：
Stark, J
中科院分区：
文献类型：
--
作者：
Orstavik, S;Stark, J
我们混合使用时间和空间延迟嵌入技术，对耦合映象格子产生的时间序列进行重建和交叉预测。我们发现，时空延迟重建比仅使用时间延迟或仅使用空间延迟的标准方法具有更好的可预测性。我们还观察到，在所有这些情况下，严格嵌入原始时空系统是完全不可行的，因为这将需要不切实际的大嵌入维度。尽管如此，在低至4维的情况下进行短期预测是可能的。我们讨论了对这一明显悖论的可能解释，并简要描述了一个重建高维系统的试探性理论框架。(C)1998年爱思唯尔科学公司。
We use a mix of temporal and spatial delay embedding techniques to carry out reconstruction and cross-prediction on a time series generated by a coupled map lattice. We find that spatio-temporal delay reconstructions give better predictability than standard methods using either time delays only or spatial delays only. We also observe that in all these cases it is completely infeasible to rigorously embed the original spatio-temporal system since this would require impractically large embedding dimensions. Despite this, it proves possible to make good short term predictions in embedding dimensions as low as 4. We discuss a possible explanation of this apparent paradox and briefly describe a tentative theoretical framework for reconstructing high-dimensional systems that this suggests. (C) 1998 Elsevier Science B.V.