Open AccessClose approximations to invariant tori in nonlinear mechanics
Author(s) -
Robert Warnock
Publication year - 1991
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.66.1803
Subject(s) - nonlinear system , torus , computation , invariant (physics) , kolmogorov–arnold–moser theorem , hamiltonian system , physics , approximations of π , hamiltonian (control theory) , classical mechanics , mathematics , quantum mechanics , mathematical optimization , geometry , algorithm
A general method to compute precise approximations to invariant tori of Hamil- tonian systems is presented. For illustration, a strongly nonlinear example from ac- celerator theory is treated, in 24 degrees of freedom. Accuracy, computation time, -
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