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An averaging theorem for time-periodic degree zero homogeneous differential equations

✍ Scribed by Robert T. M'Closkey

Book ID: 104301069
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 364 KB
Volume: 32
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(97)00070-4

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✦ Synopsis

This paper considers the stability of the differential equation ~ = eX(t,x, e), x C R", where X(t,x,e) is a time-periodic, degree zero homogeneous vector field and ~ > 0 is a parameter. It is shown that asymptotic stability of the time-averaged equation implies asymptotic stability of the original system for e sufficiently small. (~) 1997 Elsevier Science B.V.

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