✦ LIBER ✦

ON THE ANALYSIS OF CERTAIN HIGH DIMENSIONAL SYSTEMS WITH INNER RESONANCES

✍ Scribed by W.Y. Zhang; K. Huseyin; Y.S. Chen

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 306 KB
Volume: 213
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1527

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✦ Synopsis

In this paper, the normal forms and the related coefficients, of high dimensional inner resonant systems, are explored. Using a recently developed approach, calculations of normal forms (especially the related coefficients) are much easier, compared to the existing methods. A general four dimensional system with two pairs of pure imaginary eigenvalues is used as an example, and normal forms in resonant model p :q are determined. The coefficients of normal forms related to different possible resonant models; namely, 1:2, 1:3, 1:4, 2:1, 3:1 and 4:1, are considered. The theory presented here can be applied to other higher order inner resonant cases as well.

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