  Dark energy models can be seen as dynamical systems. In this paper we show
that multi-field models with a curved field space give rise to new critical
points and we analyse their stability. These are new accelerating solutions in
late-time cosmology which exist even for steep potentials. This opens up the
possibility to realise quintessence models even when quantum corrections spoil
the flatness of the underlying potential. These non-linear sigma models arise
naturally in supergravity and string models where their multi-field dynamics
can help to avoid swampland bounds.
