A Model-Free Sampling Method for Estimating Basins of Attraction Using Hybrid Active Learning (HAL). (arXiv:2003.10976v3 [cs.LG] UPDATED)

Web: http://arxiv.org/abs/2003.10976

Understanding the basins of attraction (BoA) is often a paramount
consideration for nonlinear systems. Most existing approaches to determining a
high-resolution BoA require prior knowledge of the system's dynamical model
(e.g., differential equation or point mapping for continuous systems, cell
mapping for discrete systems, etc.), which allows derivation of approximate
analytical solutions or parallel computing on a multi-core computer to find the
BoA efficiently. However, these methods are typically impractical when the BoA
must be determined experimentally or when the …

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