dc.contributor.author |
Braun, Francisco |
dc.contributor.author |
Giné, Jaume |
dc.contributor.author |
Llibre, Jaume |
dc.date |
2016-11-04T13:00:55Z |
dc.date |
2018-04-01T22:14:38Z |
dc.date |
2016 |
dc.date |
2016-11-04T13:00:56Z |
dc.identifier |
0022-0396 |
dc.identifier |
http://hdl.handle.net/10459.1/58388 |
dc.identifier |
https://doi.org/10.1016/j.jde.2015.12.011 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/58388 |
dc.description |
Let F=(f,g):R2→R2 be a polynomial map such that detDF(x,y) is different from zero for all (x,y)∈R2 and F(0,0)=(0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ffx+ggx and ffy+ggy do not have real linear factors in common. The proofs are based on qualitative theory of dynamical systems. |
dc.description |
The first author is partially supported by a BPE-FAPESP grant
number 2014/26149-3. The second author is partially supported by a
MINECO/FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The third
author is partially supported by a MINECO grant number MTM2013-
40998-P, and AGAUR grant number 2014SGR 568 and two FP7-PEOPLE-
2012-IRSES grants numbers 316338 and 318999. The first and the
third author are also partially supported by a CAPES CSF–PVE grant
88881. 030454/ 2013-01 from the program CSF-PVE. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Elsevier |
dc.relation |
MINECO/PN2013-2016/MTM2014-53703-P |
dc.relation |
MINECO/PN2013-2016/MTM2013-40998-P |
dc.relation |
Versió postprint del document publicat a https://doi.org/10.1016/j.jde.2015.12.011 |
dc.relation |
Journal of Differential Equations, 2016, vol. 260, num. 6, p. 5250-5258 |
dc.relation |
info:eu-repo/grantAgreement/EC/FP7/318999 |
dc.relation |
info:eu-repo/grantAgreement/EC/FP7/316338 |
dc.rights |
cc-by-nc-nd (c) Elsevier, 2016 |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Real Jacobian conjecture |
dc.subject |
Global injectivity |
dc.subject |
Centre |
dc.title |
A sufficient condition in order that the real Jacobian conjecture in R^2 holds |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/acceptedVersion |