  We discuss the non-equilibrium attractors of systems undergoing Gubser flow
within kinetic theory by means of nonlinear dynamical systems. We obtain the
attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient
fluid (DNMR) theories. These attractors are non-planar and the basin of
attraction is three dimensional. We compare the asymptotic attractors of each
hydrodynamic model with the one obtained from the exact Gubser solution of the
Boltzmann equation within the relaxation time approximation. Anisotropic
hydrodynamics matches, up to high numerical accuracy, the attractor of the
exact theory while the other hydrodynamic theories fail to do so. Thus,
anisotropic hydrodynamics is an effective theory for far-from-equilibrium
fluids, which consists of the dissipative (nonperturbative) contributions at
any order in the gradient expansion.
