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Title of Article

Pascal?s limacon as the integral curve of a quadratic differential equation


Issue
3
Date
2008

Section
MATHEMATICS

Article type
scientific article
UDC
517.925
Pages
120-125
Keywords
 


Authors
Druzhkova T.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Sirotina E.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
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.

File (in Russian)