English

Riemann geometry in theory of the first order systems of equations

Exactly Solvable and Integrable Systems 2008-07-02 v1 Chaotic Dynamics

Abstract

Theory of Riemann Extensions of the spaces with constant affine connection for the studying of the properties of nonlinear the first order systems of differential equations is proposed. Quadratic planar system of equations and the Lorenz system of equations are investigated in detail.

Keywords

Cite

@article{arxiv.0807.0178,
  title  = {Riemann geometry in theory of the first order systems of equations},
  author = {Valery Dryuma},
  journal= {arXiv preprint arXiv:0807.0178},
  year   = {2008}
}

Comments

This report was presented at the International Conference "Differential Equations and Topology", Moskow, June 17-22, 2008