A method for the numerical computation of invariant circles of maps is presented, along the appropriate techniques for its implementation. The method involves solution of a functional equation by discretization and Newton iteration. The resulting algorithm is applied to a map of the cylinder and some examples of bifurcations of invariant circles are illustrated. Generalization of the method of the computation of invariant circles in more than two dimensions as well as sections of invariant tori is discussed.
|Original language||English (US)|
|Journal||Annual Meeting - American Institute of Chemical Engineers|
|State||Published - Dec 1 1984|
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