PASCAL?S LIMACON AS A LIMIT CYCLE OF A CUBIC SYSTEM OF DIFFERENTIAL EQUATIONS |
5 | |
2010 |
MATHEMATICS |
scientific article | 517.925 | ||
142-148 | cubic differential equation, Pascal, ?s limacon, algebraic particular integral, limit cycle, Poincare cycle |
The whole class of cubic differential equations, which have a fourth-order algebraic curve, Pascal?s limacon, in
their set of integral curves, has been derived. A one-parameter family of equations, which have Pascal?s limacon as
a limit cycle has been studied. |
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