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Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

Valery S. Dryuma·Makoto Matsumoto
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Abstract

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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Valery S. Dryuma, Makoto Matsumoto. 1998-03-04. Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems. https://arxiv.org/abs/solv-int/9803003

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