A PINN framework with Levenberg-Marquardt optimization approximates solutions, snaking bifurcation diagrams, and linear stability of the discrete Allen-Cahn equation in up to five spatial dimensions.
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Physics-informed neural networks for high-dimensional solutions and snaking bifurcations in nonlinear lattices
A PINN framework with Levenberg-Marquardt optimization approximates solutions, snaking bifurcation diagrams, and linear stability of the discrete Allen-Cahn equation in up to five spatial dimensions.