The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms
Part of the Mathematics and Its Applications book series (MAIA, volume 501)
In this chapter we prove the shadowing theorem for diffeomorphisms. Also we give two applications of it to hyperbolic sets. A further application follows in the next chapter.
KeywordsDifference Equation Unstable Manifold Stable Manifold Bounded Solution Exponential Dichotomy
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© Springer Science+Business Media Dordrecht 2000