Authors: Calin Iurie, Ciubotaru Stanislav
Abstract
For the autonomous bidimensional polynomial systems of
differential equations with nonlinearities of the fourth degree
the $GL(2, \mathbb{R})$-invariant recurrence equations for
determination of the Lyapunov quantities were established.
Moreover, the general form of Lyapunov quantities for the
mentioned systems is obtained. For a class of such systems the
necessary and sufficient $GL(2, \mathbb{R})$-invariant conditions
for the existence of center are given.
Iurie Calin
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova &
Moldova State University, Chisinau
Moldova
E-mail:
Stanislav Ciubotaru
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail:
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