dc.contributor.author
Giné, Jaume
dc.contributor.author
Valls, Claudia
dc.date.accessioned
2024-12-05T21:29:17Z
dc.date.available
2024-12-05T21:29:17Z
dc.date.issued
2016-11-04T15:18:51Z
dc.date.issued
2018-05-01T22:20:38Z
dc.date.issued
2016-11-04T15:18:51Z
dc.identifier
https://doi.org/10.1016/j.jsc.2015.04.001
dc.identifier
http://hdl.handle.net/10459.1/58392
dc.identifier.uri
http://hdl.handle.net/10459.1/58392
dc.description.abstract
Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain the results we use modular arithmetics.
dc.description.abstract
The authors are grateful to the referees for their valuable remarks which helped
to improve the manuscript. The first author is partially supported by a MINECO/
FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya)
grant number 2014SGR 1204. The second author is supported by Portuguese
National Funds through FCT - Fundación para a Ciéncia e a Tecnología within the
project PEst-OE/EEI/LA0009/2013 (CAMGSD).
dc.format
application/pdf
dc.relation
MINECO/PN2013-2016/MTM2014-53703-P
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.jsc.2015.04.001
dc.relation
Journal of Symbolic Computation, 2016, vol. 73, p. 250-267
dc.rights
cc-by-nc-nd (c) Elsevier, 2016
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
dc.subject
Center–focus problem
dc.subject
Center manifolds
dc.subject
First integrals
dc.subject
Modular arithmetics
dc.title
Center problem in the center manifold for quadratic differential systems in R^3
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
