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Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

Abstract

A two dimensional Finsler space associated with the differential equation y=Y3y3+Y2y2+Y1y+Y0y''=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.

Keywords

Cite

@article{arxiv.solv-int/9803003,
  title  = {Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems},
  author = {Valery S. Dryuma and Makoto Matsumoto},
  journal= {arXiv preprint arXiv:solv-int/9803003},
  year   = {2007}
}

Comments

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