✦ LIBER ✦

Higher-order averaging schemes in systems with fast and slow phases

✍ Scribed by L.D. Akulenko

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 898 KB
Volume: 66
Category: Article
ISSN: 0021-8928
DOI: 10.1016/s0021-8928(02)00020-5

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✦ Synopsis

Non-linear oscillatory systems containing a fast phase and a relatively slow phase are considered. A modified averaging method is proposed for the situation in which the slow variables, averaged over the fast phase, do not change. A procedure for separating the variables over substantially longer time intervals with respect to a small parameter is proposed and justified; over these extended time intervals, all the variables experience considerable evolution. Examples illustrating the efficiency of the proposed approach are presented.

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