On (h, k) manifolds with asymptotic phase

[摘要] 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 nonautonomous systems with (h, k) dichotomies, into an almost decoupled quasilinear system. The class of admissible h and k functions is also briefly analyzed. (C) 1997 Academic Press.

[发布日期] 1997-12-15

[关键词] trichotomies;invariant manifolds;asymptotic phase;asymptotic equivalence of solutions