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Linearization near a locally nonunique invariant manifold
Theorem of C. Pugh and M. Shub states that a flow can be
linearized near normally hyperbolic compact invariant manifold. A normally
hyperbolic manifold has the property of local uniqueness. This paper
gives conditions for linearization of a flow near an invariant manifold
without the assumption of its local uniqueness. These conditions are wider
than the normally hyperbolicity condition.