Recurrent neural networks for dynamical systems: applications to ordinary differential equations, collective motion, and hydrological modeling

DOI10.1063/5.0088748MaRDI QIDQ6571789

Yonggi Park, Dilhani I. Jayathilake, Erik M. Bollt, Kelum Gajamannage

Publication date: 12 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Title not available (Why is that?)
• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Dimensionality reduction of collective motion by principal manifolds
• Detecting phase transitions in collective behavior using manifold's curvature
• Turing computability with neural nets
• Discrete-time versus continuous-time models of neural networks
• Multilayer feedforward networks are universal approximators
• A new method to solve numeric solution of nonlinear dynamic system
• Numerical bifurcation analysis of PDEs from lattice Boltzmann model simulations: a parsimonious machine learning approach
• Deterministic Nonperiodic Flow
• Neural networks and physical systems with emergent collective computational abilities.

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