Topological configurations of singularities for quadratic differential systems

ARTES, Joan C.; LLIBRE, Jaume; SCHLOMIUK, Dana; VULPE, Nicolae

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dc.contributor.author	ARTES, Joan C.
dc.contributor.author	LLIBRE, Jaume
dc.contributor.author	SCHLOMIUK, Dana
dc.contributor.author	VULPE, Nicolae
dc.date.accessioned	2020-11-02T13:10:44Z
dc.date.available	2020-11-02T13:10:44Z
dc.date.issued	2018
dc.identifier.citation	ARTES, Joan C., LLIBRE, Jaume, SCHLOMIUK, Dana et al. Topological configurations of singularities for quadratic differential systems. 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. 24-25.	en_US
dc.identifier.uri	http://repository.utm.md/handle/5014/10992
dc.description	Only Abstract	en_US
dc.description.abstract	In this paper we extract the local topological information around all singularities from the 1879 geometric equivalence classes. We prove that there are exactly 208 topologically distinct global topological configurations of singularities for the whole quadratic class. From here the next goal would be to obtain a bound for the number of possible different phase portraits, modulo limit cycles.	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	mathematics	en_US
dc.subject	singularities	en_US
dc.subject	quadratic differential systems	en_US
dc.subject	topological configurations	en_US
dc.title	Topological configurations of singularities for quadratic differential systems	en_US
dc.type	Article	en_US