dc.contributor.author |
Giné, Jaume |
dc.contributor.author |
Valls, Claudia |
dc.date |
2016-11-04T15:18:51Z |
dc.date |
2018-05-01T22:20:38Z |
dc.date |
2016 |
dc.date |
2016-11-04T15:18:51Z |
dc.identifier |
0747-7171 |
dc.identifier |
http://hdl.handle.net/10459.1/58392 |
dc.identifier |
https://doi.org/10.1016/j.jsc.2015.04.001 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/58392 |
dc.description |
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 |
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.language |
eng |
dc.publisher |
Elsevier |
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 |
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Center–focus problem |
dc.subject |
Center manifolds |
dc.subject |
First integrals |
dc.subject |
Modular arithmetics |
dc.subject |
Grobner basis |
dc.subject |
Matemàtica |
dc.subject |
Mathematics |
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 |