Frequency-Separable Hamiltonian Neural Network for Multi-Timescale Dynamics
The paper introduces the Frequency-Separable Hamiltonian Neural Network (FS-HNN), a novel architecture that decomposes Hamiltonian functions into distinct fast and slow modes trained on different timescales to overcome the spectral bias of existing methods and significantly improve long-horizon extrapolation for multi-timescale dynamical systems and PDEs.