## Invariant manifolds for hyperbolic maps. Complex hyperbolicity.

- Formal theory: cross-resonances.
- Hadamard-Perron theorem for holomorphisms. Contracting map principle reactivated.
- Hadamard-Perron theorem for vector fields. Complex hyperbolicity.
- Invariant hypernolic curve for saddle-nodes.
- Poincare resonances.
- 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…

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