Analysis of the Geometric Structure of the Hamilton-Jacobi Equation via Generating Functions of Symplectic Transforms
نویسنده
چکیده
The geometric structure of the Hamilton-Jacobi equation is analyzed by using symplectic geometry. Generating function of symplectic transform plays an important role. It will be shown that the Hamilton-Jacobi equation possesses important geometric properties such as existence condition and maximality of the stabilizing solution, which are well-known in the Riccati equation.
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