THE LYAPUNOV QUANTITIES AND THE GL(2,R)-INVARIANT CENTER CONDITIONS FOR A CLASS OF BIDIMENSIONAL POLYNOMIAL SYSTEMS OF DIFFERENTIAL EQUATIONS WITH NONLINEARITIES OF THE FOURTH DEGREE
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
CEP USM
Abstract
For the bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the recurent equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the
mentioned systems were obtained. For a class of such systems the necessary and sufficient GL(2,R)-invariant conditions for the existence of center are given.
Description
Keywords
Polynomial differential systems, invariant, transvectant, Lyapunov quantities, center conditions
Citation
CIUBOTARU, S., CALIN, Iu. The Lyapunov quantities and the GL (2 , R )-invariant center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 263-268. ISBN 978-9975-71-915-5.