Unsolved Problems

Showing 1-3 of 3 problems

Smale's 6th Problem: Finiteness of Central Configurations

For the Newtonian $n$-body problem with positive masses, are there only finitely many central configurations (relative equilibria) for each $n$?...

Smale's 10th Problem: The Pugh Closing Lemma

Is the $C^r$ closing lemma true for dynamical systems?...

Smale's 12th Problem: Centralizers of Diffeomorphisms

Determine the structure of centralizers of generic diffeomorphisms....