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原文連結
論文資訊
- 類型：已發表論文
- 日期：2021
摘要
縮放律 regions—intervals on a graph where the dependent variable depends linearly on the independent variable—abound in dynamical systems, notably in calculations of invariants like the correlation dimension or a 李雅普諾夫 exponent. In these applications, 縮放律 regions are generally selected by hand, a process that is subjective and often challenging due to noise, algorithmic effects, and confirmation bias. In this paper, we propose an automated technique for extracting and characterizing such regions. Starting with a two-dimensional plot—e.g., the values of the correlation integral, calculated using the Grassberger-Procaccia algorithm over a range of scales—we create an ensemble of intervals by considering all possible combinations of endpoints, generating a distribution of slopes from least-squar
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