✦ LIBER ✦

ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS

✍ Scribed by WEIYI ZHANG; KONCAY HUSEYIN; MIN YE

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 168 KB
Volume: 232
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2751

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✦ Synopsis

A new procedure for obtaining high order normal forms and the associated coe$cients is presented. It is assumed that the Jacobian of the system considered is in a diagonal form. In comparison with existing normal form approaches, this procedure lends itself more readily to symbolic calculations, like MAPLE, and the calculations of high order normal forms, together with the associated coe$cients, are carried out much more conveniently. To illustrate the approach, "ve examples are presented. Examples 1 and 3 also contain a comparison of the results obtained by the methods of normal forms and averaging.

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