I'm looking for a reference to a proof of the theorem of stable / unstable manifolds , using the Hadamard method, ie, characterizing the stable / unstable manifolds locally as the graph of a differentiable function.
Reference for Unstable/Stable Manifold Theorem
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dynamical-systems
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0For what kind of situations ? Hyperbolic fixed point ? Invariant hyperbolic compact set ? Anyway, you should take a look at the book by Katok and Hasselblatt. – 2012-09-27
1 Answers
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I believe you can find this proof in chapter $5$ of "Introduction to Dynamical Systems" by Michael Brin and Garrett Stuck. I highly recommend it.