Close approximations to invariant tori in nonlinear mechanics

Robert L. Warnock
Phys. Rev. Lett. 66, 1803 – Published 8 April 1991
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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.

  • Received 19 September 1990

DOI:https://doi.org/10.1103/PhysRevLett.66.1803

©1991 American Physical Society

Authors & Affiliations

Robert L. Warnock

  • Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309

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Issue

Vol. 66, Iss. 14 — 8 April 1991

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