학술논문

Reconstructing Network Dynamics of Coupled Discrete Chaotic Units from Data
Document Type
Working Paper
Source
Phys. Rev. Lett. 130, 117401 2023
Subject
Mathematics - Dynamical Systems
Nonlinear Sciences - Adaptation and Self-Organizing Systems
Language
Abstract
Reconstructing network dynamics from data is crucial for predicting the changes in the dynamics of complex systems such as neuron networks; however, previous research has shown that the reconstruction is possible under strong constraints such as the need for lengthy data or small system size. Here, we present a recovery scheme blending theoretical model reduction and sparse recovery to identify the governing equations and the interactions of weakly coupled chaotic maps on complex networks, easing unrealistic constraints for real-world applications. Learning dynamics and connectivity lead to detecting critical transitions for parameter changes. We apply our technique to realistic neuronal systems with and without noise on a real mouse neocortex and artificial networks.
Comment: 7 pages, 4 figures