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- W1569050389 abstract "Periodic solutions of the Hamilton-Jacobi equation determine invariant tori in phase space. The Fourier spectrum of a torus with respect to angular coordinates gives useful information about nonlinear resonances and their potential for causing instabilities. We describe a method to solve the HamiltonJacobi equation for an arbitrary accelerator lattice. The method works with Fourier modes of the generating function, and imposes periodicity in the machine azimuth by a shooting method. We give examples leading to threedimensional plots in a surface of section. It is expected that the technique will be useful in lattice optimization." @default.
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- W1569050389 date "1988-05-01" @default.
- W1569050389 modified "2023-10-14" @default.
- W1569050389 title "Periodic solutions of the Hamilton-Jacobi equation by the shooting method: A technique for beam dynamics" @default.
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