Computation of invariant tori and acceleration of the K. A. M. algorithm
Conference
·
OSTI ID:5565764
A method is described to compute invariant tori in phase space for classical non-integrable Hamiltonian systems. The procedure is to solve the Hamilton-Jacobi equation stated as a system of equations for Fourier coefficients of the generating function. The system is truncated to a finite number of Fourier modes and solved numerically by Newton's Method. The resulting canonical transformation serves to reduce greatly the non-integrable part of the Hamiltonian. The method provides a promising alternative to canonical perturbation theory since its algebraic complexity does not increase as more accuracy is demanded and the required computer programs are quite simple. 2 refs., 1 fig.
- Research Organization:
- Lawrence Berkeley Lab., CA (USA); Stanford Linear Accelerator Center, Menlo Park, CA (USA)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 5565764
- Report Number(s):
- SLAC-PUB-3994; LBL-21710; CONF-8605145-2; ON: DE86012957
- Country of Publication:
- United States
- Language:
- English
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