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Study of geometric and group properties of nonlinear dynamical systems

Programmee:Institutional Projects
Code:06.411.003F
Execution period:2006 – 2010
Institutions:Institute of Mathematics and Computer Science
Project Leader:Vulpe Nicolae
Participants: Vulpe Nicolae, Popa Mihail, Dryuma Valery, Dovbush Peter, Baltag Valeriu, Calin Iurie, Gherstega Natalia, Diaconescu Oxana, Orlov Victor
Field of application:Fundamental Sciences - Physics-Mathematics
Keywords:differential equations, theory of functions of several variables, nonlinear dynamical systems

Summary

The proposed project aims further development of the theory of differential equations, the theory of functions of several complex variables and the geometry of nonlinear dynamical systems. In the domain of qualitative theory of differential equations, functional invariants and algebraic invariants with respect to various groups of transformations will be applied in qualitative research of dynamical systems, as well as for first order and second order differential equations. Properties of Riemann extensions of spaces with affine connection and Pfaff varieties will be studied.