Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

Details Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

1998-03-04

arxiv.org/abs/solv-int/9803003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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.

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