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Geometrical properties of the multidimensional nonlinear differential equations and the Finsler metrics of phase spaces of dynamical systems

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Abstract

The multidimensional nonlinear differential equations arising from special conditions on the curvature tensor of 3-and 4-dimensional manifolds are considered. Examples of the Finsler metrics associated with nonlinear dynamical systems are constructed.

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Authors
  1. V. S. Dryuma
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Additional information

Institute of Mathematics, Academy of Sciences, RM Kishinev, 277028. Translated from Teoreticheskaya i Mate maticheskaya Fizika, Vol. 99, No. 2, pp. 241–249, May, 1994.

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Dryuma, V.S. Geometrical properties of the multidimensional nonlinear differential equations and the Finsler metrics of phase spaces of dynamical systems. Theor Math Phys 99, 555–561 (1994). https://doi.org/10.1007/BF01016138

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  • DOI: https://doi.org/10.1007/BF01016138

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