Hyperbolic inflationary model with nonzero curvature
  We consider a cosmological model consisting of two scalar fields defined in
the hyperbolic plane known as hyperbolic inflation. For the background space we
consider a homogeneous and isotropic spacetime with nonzero curvature. We study
the asymptotic behaviour of the dynamics and we search for attractors in the
expanding regime. We prove that the hyperobolic inflation period is an unstable
solution and there are not future attractors which can solve the flatness
problem and describes acceleration.
