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Configurations of invariant lines of total multiplicity 7 of cubic systems with four real distinct infinite singularities

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dc.contributor.author BUJAC, Cristina
dc.contributor.author SCHLOMIUK, Dana
dc.contributor.author VULPE, Nicolae
dc.date.accessioned 2020-11-02T13:52:40Z
dc.date.available 2020-11-02T13:52:40Z
dc.date.issued 2018
dc.identifier.citation BUJAC, Cristina, SCHLOMIUK, Dana, VULPE, Nicolae. Configurations of invariant lines of total multiplicity 7 of cubic systems with four real distinct infinite singularities. 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. 26-27. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/10994
dc.description Only Abstract en_US
dc.description.abstract Our main goal is to classify the family of cubic systems according to their geometric properties encoded in the configurations of invariant straight lines of total multiplicity seven (including the line at infinity with its own multiplicity), which these systems possess. Here we consider only the subfamily of cubic systems with four real distinct infinite singularities which we denote by CSL47s ∞. We prove that there are exactly 94 distinct configurations of invariant straight lines for this class and present corresponding examples for the realization of each one of the detected configurations. We remark that cubic systems with nine (the maximum number) of invariant lines for cubic systems are considered, whereas cubic systems with eight invariant lines (considered with their multiplicities) are investigated. 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 polynomial differential systems en_US
dc.subject cubic systems en_US
dc.subject invariant lines en_US
dc.subject infinite singularities en_US
dc.title Configurations of invariant lines of total multiplicity 7 of cubic systems with four real distinct infinite singularities en_US
dc.type Article en_US


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