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On (h, k) Manifolds with Asymptotic Phase

✍ Scribed by Julio López Fenner; Manuel Pinto

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
279 KB
Volume
216
Category
Article
ISSN
0022-247X

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✦ Synopsis

We introduce the notion of h, k manifolds and give conditions under which the property of being a manifold with asymptotic phase holds. These conditions allow the construction of a transformation of the variational equation of a nonlinear Ž . nonautonomous systems with h, k dichotomies, into an almost decoupled quasilinear system. The class of admissible h and k functions is also briefly analyzed.

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