02-531 Henk Broer, Heinz Hanßmann, Àngel Jorba, Jordi Villanueva, Florian Wagener

Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach (4580K, PostScript, gzipped and uuencoded) Dec 20, 02

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. In the conservative dynamics of certain quasi-periodically forced oscillators, normal-internal resonances are considered in a bifurcational setting. So the unperturbed system has one degree of freedom. By averaging, the correspondence is made with the well-known case of periodic forcing and the way in which the present quasi-periodic case complicates the former. This paper extends work on the continuation of normally elliptic tori, where all normal-internal resonances are excluded: presently the gaps in the Cantor set are filled one by one.

Files: 02-531.uu