On theory of surfaces defined by the first order systems of equations

Valery Dryuma

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: The properties of surfaces defined by spatial systems of differential equations are studied. The Monge equations connected with the first order nonlinear p.d.e. are investigated. The properties of Riemannian metrics defined by the systems of differential equations having applications in theory of nonlinear dynamical systems with regular and chaotic behaviour are considered.

Keywords and phrases: Differential systems, Monge equations, Riemann spaces, translation surfaces.

MSC: 34C14, 53B21

Received: 15.12.2007

Language: English

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