Pascal?s limacon as the integral curve of a quadratic differential equation |
3 | |
2008 |
MATHEMATICS |
scientific article | 517.925 | ||
120-125 |
The whole class of systems of quadratic differential equations, which have a fourth-order algebraic curve, Pascal's limacon, in their set of phase trajectories, have been derived and studied. An algebraic first integral of such systems has been obtained. All topologically different pictures of phase plane partition by integral curves are given. |
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