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An Averaging Theorem for Quasilinear Hamiltonian PDEs

โœ Scribed by Dario Bambusi


Book ID
105761600
Publisher
Springer
Year
2003
Tongue
English
Weight
301 KB
Volume
4
Category
Article
ISSN
1424-0637

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An averaging theorem for time-periodic d
โœ Robert T. M'Closkey ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

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 s