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Title of Article

PASCAL?S LIMACON AS A LIMIT CYCLE OF A CUBIC SYSTEM OF DIFFERENTIAL EQUATIONS


Issue
5
Date
2010

Section
MATHEMATICS

Article type
scientific article
UDC
517.925
Pages
142-148
Keywords
cubic differential equation, Pascal, ?s limacon, algebraic particular integral, limit cycle, Poincare cycle


Authors
Druzhkova Tatyana Anatolevna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Sirotina Elena Aleksandrovna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
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.

File (in Russian)