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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