Physics-informed hierarchical echo state network for predicting the dynamics of chaotic systems

Deterministic Nonperiodic Flow

Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text

Natural Sciences, Mathematics, Physics +12

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

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An equation for continuous chaos

Otto E. Rössler · Physics Letters A · 1976 · 4K citations

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Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communication

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Algorithm 778: L-BFGS-B

Ciyou Zhu, Richard H. Byrd, Peihuang Lu et al. · ACM Transactions on Mathematical Software · 1997 · 3.4K citations · Full text

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