Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical   Systems
  A two dimensional Finsler space associated with the differential equation $y''=Y_3 y'^3+Y_2 y'^2+Y_1 y'+Y_0$ is characterized by a tensor equation and called the Douglas space. An application to the Lorenz nonlinear dynamical equation is discussed from the standpoint of Finsler geometry. 
Valery S. Dryuma, Makoto Matsumoto