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

Published Web Location

https://doi.org/10.1016/s0167-6911(97)00070-4
Abstract

This paper considers the stability of the differential equation ẋ = εX(t,x, ε), x ∈ ℝn, where X(t,x, ε) is a time-periodic, degree zero homogeneous vector field and ε > 0 is a parameter. It is shown that asymptotic stability of the time-averaged equation implies asymptotic stability of the original system for ε sufficiently small. © 1997 Elsevier Science B.V.

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