Hamiltonian Mechanics
One of the formulations of classical mechanics, centered on the Hamiltonian, the total energy of the system. States are described using generalized coordinates and generalized momenta, and evolution is governed by the first-order Hamilton equations.
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HNNs and their variants, by explicitly encoding Hamiltonian mechanics, can guarantee physical properties such as energy conservation during modeling and provide interpretable information.
In the Hamiltonian framework, the system state is described by generalized coordinates q and generalized momenta p, and the evolution equations form a first-order system of differential equations: q_dot = ∂H/∂p, p_dot = -∂H/∂q.
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HNNs and their variants, by explicitly encoding Hamiltonian mechanics, can guarantee physical properties such as energy conservation during modeling and provide interpretable information.
50%UnverifiedIn the Hamiltonian framework, the system state is described by generalized coordinates q and generalized momenta p, and the evolution equations form a first-order system of differential equations: q_dot = ∂H/∂p, p_dot = -∂H/∂q.
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