7 citations · 13 across the 11 of their papers we have counts for
11 papers
Partial integrals of ordinary differential systems
V. N. Gorbuzov
Properties of partial integrals such as real and complex-valued polynomial, multiple polynomial, exponential, and conditional for ordinary differential systems are studied. The pos…
Stereographically conjugate differential systems
V. N. Gorbuzov
Topological bases of behaviour of trajectories for autonomous differential systems of the second order on sphere are stated. Stereographic atlas of trajectories is constructed. Dif…
Projective atlas of trajectories of differential systems
V. N. Gorbuzov
Topological bases of behaviour of trajectories for autonomous differential systems of the second order on the projective phase plane are stated. By means of Poincare's circles the…
Inverse problem of group analysis for autonomous differential systems
V. N. Gorbuzov
Full set of autonomous completely solvable differential systems of equations in total differentials is built by basis of infinitesimal operators, universal invariant, and structure…
First integrals of ordinary linear differential systems
V. N. Gorbuzov, A. F. Pranevich
The spectral method for building first integrals of ordinary linear differential systems is elaborated. Using this method, we obtain bases of first integrals for linear differentia…
Topological, smooth and holomorphic classifications of nonautonomous linear differential systems and projective matrix Riccati equations
V. N. Gorbuzov, V. Yu. Tyshchenko
The questions of global topological, smooth and holomorphic classifications of the differential systems, defined by covering foliations, are considered. The received results are ap…