ON STRAIGHT-LINE ISOCLINES OF PLANAR VECTOR FIELDS |
| 2 | |
| 2014 |
| scientific article | 517.925.41 | ||
| 148-156 | polynomial vector fields, degenerate infinity, straight-line isoclines, invariant lines, equilibrium |
| The number of invariant lines incident to a particular system equilibrium has been found not to exceed n for the autonomous system of two differential equations with coprime polynomials of degree n in the right parts and degenerate infinity. For the same system under the additional assumption, an upper limit of the total number of invariant lines: 2 n +1 or 2 n , for n even or odd, respectively, has been obtained. |
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