ON STRAIGHT-LINE-ISOCLINES OF POLYNOMIAL DIFFERENTIAL SYSTEMS ON THE PLANE |
| 1 | |
| 2010 |
| MATHEMATICS |
| scientific article | 517.925.41 | ||
| 156-162 | straight isoclines, quadratic and cubic differential systems, canonical form, equilibrium state, critical point |
| Straight-line-isoclines of quadratic and cubic differential systems are considered. A short review of research results
and a proof of Berlinskis theorem on the number of singular points are given. New statements are proven on
invariant straight lines and isoclines, the number and directions of straight-line-isoclines, as well as the pattern of
singular points in the finite part of the phase plane. |
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