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The sufficient center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree

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dc.contributor.author CALIN, Iurie
dc.contributor.author CIUBOTARU, Stanislav
dc.date.accessioned 2020-11-02T14:10:32Z
dc.date.available 2020-11-02T14:10:32Z
dc.date.issued 2018
dc.identifier.citation CALIN, Iurie, CIUBOTARU, Stanislav. The sufficient center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 29-30. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/10996
dc.description Only Abstract en_US
dc.description.abstract In this paper we consider the class of systems (1) (or (2)) with the conditions I3 = 0, I1 =0, I2 > 0. The conditions I1 = 0, I2 > 0 mean that the eigenvalues of the Jacobian matrix at the singular point (0, 0) are pure imaginary, i.e., the system has the center or a weak focus at (0, 0). The system (2) with I1 = 0, I2 > 0 and I3 = 0 can be reduced by a centeraffine transformation and time scaling to the form. In this paper the sufficient center conditions for the origin of coordinates of the phase plane for the bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree with I1 = 0, I2 > 0, I3 = 0 were established. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject bidimensional polynomial systems en_US
dc.subject differential equations en_US
dc.subject nonlinearities en_US
dc.title The sufficient center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree en_US
dc.type Article en_US


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