0
$\begingroup$

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.

  • 0
    For 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 1

2

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.