Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

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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.
22 pages, Latex; Reports of Math. Phys.(1998)

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