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DOI | 10.1063/5.0138661 |
Reservoir computing as digital twins for nonlinear dynamical systems | |
Kong, Ling-Wei; Weng, Yang; Glaz, Bryan; Haile, Mulugeta; Lai, Ying-Cheng | |
发表日期 | 2023 |
ISSN | 1054-1500 |
EISSN | 1089-7682 |
卷号 | 33期号:3 |
英文摘要 | We articulate the design imperatives for machine learning based digital twins for nonlinear dynamical systems, which can be used to monitor the health of the system and anticipate future collapse. The fundamental requirement for digital twins of nonlinear dynamical systems is dynamical evolution: the digital twin must be able to evolve its dynamical state at the present time to the next time step without further state input-a requirement that reservoir computing naturally meets. We conduct extensive tests using prototypical systems from optics, ecology, and climate, where the respective specific examples are a chaotic CO(2 )laser system, a model of phytoplankton subject to seasonality, and the Lorenz-96 climate network. We demonstrate that, with a single or parallel reservoir computer, the digital twins are capable of a variety of challenging forecasting and monitoring tasks. Our digital twin has the following capabilities: (1) extrapolating the dynamics of the target system to predict how it may respond to a changing dynamical environment, e.g., a driving signal that it has never experienced before, (2) making continual forecasting and monitoring with sparse real-time updates under non-stationary external driving, (3) inferring hidden variables in the target system and accurately reproducing/predicting their dynamical evolution, (4) adapting to external driving of different waveform, and (5) extrapolating the global bifurcation behaviors to network systems of different sizes. These features make our digital twins appealing in applications, such as monitoring the health of critical systems and forecasting their potential collapse induced by environmental changes or perturbations. Such systems can be an infrastructure, an ecosystem, or a regional climate system. |
语种 | 英语 |
WOS研究方向 | Mathematics, Applied ; Physics, Mathematical |
WOS类目 | Science Citation Index Expanded (SCI-EXPANDED) |
WOS记录号 | WOS:000945977600004 |
来源期刊 | CHAOS |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/281239 |
作者单位 | Arizona State University; Arizona State University-Tempe; Arizona State University; Arizona State University-Tempe |
推荐引用方式 GB/T 7714 | Kong, Ling-Wei,Weng, Yang,Glaz, Bryan,et al. Reservoir computing as digital twins for nonlinear dynamical systems[J],2023,33(3). |
APA | Kong, Ling-Wei,Weng, Yang,Glaz, Bryan,Haile, Mulugeta,&Lai, Ying-Cheng.(2023).Reservoir computing as digital twins for nonlinear dynamical systems.CHAOS,33(3). |
MLA | Kong, Ling-Wei,et al."Reservoir computing as digital twins for nonlinear dynamical systems".CHAOS 33.3(2023). |
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