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.
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.
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2 years ago
1 year ago