
Attractors , basins, Finite
Jacob Palis Conjecture(Finitude of Attractors)(Dynamical Systems) ★★★★
Author(s):
Conjecture Let
be the space of
Diffeomorphisms on the connected , compact and boundaryles manifold M and
the space of
vector fields. There is a dense set
(
) such that
exhibit a finite number of attractor whose basins cover Lebesgue almost all ambient space








This is a very Deep and Hard problem in Dynamical Systems . It present the dream of the dynamicist mathematicians .
Keywords: Attractors , basins, Finite
