On theory of surfaces defined by the first order systems of equations
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DRYUMA, Valery. On theory of surfaces defined by the first order systems of equations. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2008, nr. 1(56), pp. 161-175. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Moldovei. Matematica
Numărul 1(56) / 2008 / ISSN 1024-7696

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

Pag. 161-175

Dryuma Valery
 
Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

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.

Cuvinte-cheie
Differential systems,

Monge equations, Riemann spaces, translation surfaces.