Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Long transients in ecology: Theory and applications

A Morozov, K Abbott, K Cuddington, T Francis… - Physics of life …, 2020 - Elsevier
This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …

Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series

ZK Gao, Q Cai, YX Yang, WD Dang, SS Zhang - Scientific reports, 2016 - nature.com
Visibility graph has established itself as a powerful tool for analyzing time series. We in this
paper develop a novel multiscale limited penetrable horizontal visibility graph (MLPHVG) …

Tackling the subsampling problem to infer collective properties from limited data

A Levina, V Priesemann, J Zierenberg - Nature Reviews Physics, 2022 - nature.com
Despite the development of large-scale data-acquisition techniques, experimental
observations of complex systems are often limited to a tiny fraction of the system under …

[HTML][HTML] Connectivity inference from neural recording data: Challenges, mathematical bases and research directions

IM de Abril, J Yoshimoto, K Doya - Neural Networks, 2018 - Elsevier
This article presents a review of computational methods for connectivity inference from
neural activity data derived from multi-electrode recordings or fluorescence imaging. We first …

Energy transfer and wavelength tunable lasing of single perovskite alloy nanowire

B Tang, Y Hu, J Lu, H Dong, N Mou, X Gao, H Wang… - Nano Energy, 2020 - Elsevier
Single perovskite alloy nanowire capable of emitting lasing broadly and continuously is
highly desirable for the miniaturization and integration of all-photonic devices. However, due …

Structure-oriented prediction in complex networks

ZM Ren, A Zeng, YC Zhang - Physics Reports, 2018 - Elsevier
Complex systems are extremely hard to predict due to its highly nonlinear interactions and
rich emergent properties. Thanks to the rapid development of network science, our …

State-space network topology identification from partial observations

M Coutino, E Isufi, T Maehara… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this article, we explore the state-space formulation of a network process to recover from
partial observations the network topology that drives its dynamics. To do so, we employ …

Finding nonlinear system equations and complex network structures from data: A sparse optimization approach

YC Lai - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
In applications of nonlinear and complex dynamical systems, a common situation is that the
system can be measured, but its structure and the detailed rules of dynamical evolution are …

Data-driven model discovery with Kolmogorov-Arnold networks

M Moradi, S Panahi, EM Bollt, YC Lai - arXiv preprint arXiv:2409.15167, 2024 - arxiv.org
Data-driven model discovery of complex dynamical systems is typically done using sparse
optimization, but it has a fundamental limitation: sparsity in that the underlying governing …