IMI/Publicaţii/BASM/Ediţii/BASM n.1 (29), 1999/

Finsler-geometrical approach to the studying of nonlinear dinamical systems. (English)

Authors: Driuma Valeriu, Matsumoto M.


The 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 is called the Douglas space. An application to the Lorenz nonlinear dynamical equation is discussed from the standpoint of Finsler geometry.

Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, 2028 Chisinau, Moldova