Canonical Transformations

Research Paper: LSTM-Based Prediction Method for Supercritical Wing Flutter Boundary

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Research Paper: LSTM-Based Prediction Method for Supercritical Wing Flutter Boundary

Wang Zihao1 ,Li Gun1 Liu Dawei2 Chen Dehua1, 2 , Zhang Shujun1 1.University of Electronic Science and Technology of China, School of Aerospace Engineering, Chengdu 611731 2.China Aerodynamics Research and Development Center, High-Speed Aerodynamics Institute, Mianyang 621000 doi: 10.7638/kqdlxxb-2023.0146 Abstract The flutter of supercritical wings greatly impacts the safety and stability of transport aircraft. Accurately … Read more

Progress on Neural Network Canonical Transformations

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Progress on Neural Network Canonical Transformations

Canonical transformations are classical methods used by physicists, mechanical engineers, and astronomers to handle Hamiltonian systems. By finding suitable variable substitutions, canonical transformations can simplify, or even completely solve the dynamics of Hamiltonian systems. For instance, in the 19th century, French scientist Charles Delaunay published approximately 1800 pages of analytical derivations attempting to simplify the … Read more