  In this letter, we present an extensive study of the linearly forced
isotropic turbulence. By using analytical method, we identify two parametric
choices, of which they seem to be new as far as our knowledge goes. We prove
that the underlying nonlinear dynamical system for linearly forced isotropic
turbulence is the general case of a cubic Lienard equation with linear damping.
We also discuss a Fokker-Planck approach to this new dynamical system,which is
bistable and exhibits two asymmetric and asymptotically stable stationary
probability densities.
