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)

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