Sergei Yakovenko's blog: on Math and Teaching

Thursday, December 6, 2007

“Auxiliary Lesson” שעור עזר) #7) December 6, 2007

Invariant manifolds for hyperbolic maps. Complex hyperbolicity.

  1. Formal theory: cross-resonances.
  2. Hadamard-Perron theorem for holomorphisms. Contracting map principle reactivated.
  3. Hadamard-Perron theorem for vector fields. Complex hyperbolicity.
  4. Invariant hypernolic curve for saddle-nodes.
  5. Poincare resonances.
  6. Center manifolds: formal but non-analytic.

Reading: Section 7 from the book (printing disabled), Section 27 (parts A-C) from the book (printing disabled)

Disclaimer is as sadly relevant as before…


Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

Blog at

%d bloggers like this: