# Five-Mode Truncation of the Navier-Stokes Equations

Five-Mode Truncation of the Navier-Stokes Equations

From a version of the three-dimensional Navier–Stokes equations for an incompressible fluid with periodic boundary conditions, a particular five-mode truncation was derived in [1]. The resulting set of nonlinear ordinary differential equations allows only a finite number of Fourier modes and behaves as a system with five degrees of freedom, thereby resembling the behavior of the Lorenz attractor.