Close approximations to invariant tori in nonlinear mechanics

8 April 1991

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 66 (14) , 1803-1806
https://doi.org/10.1103/physrevlett.66.1803

Abstract

A general method to compute precise approximations to invariant tori of Hamiltonian systems is presented. For illustration, a strongly nonlinear example from accelerator theory is treated, in 21/2 degrees of freedom. Accuracy, computation time, and effectiveness near resonances are found to be highly favorable in comparison to previous methods.

Keywords

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