dc.contributor.author
Bendjeddou, Ahmed
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Salhi, Tayeb
dc.identifier
https://ddd.uab.cat/record/150604
dc.identifier
urn:10.1016/j.jde.2013.01.032
dc.identifier
urn:oai:ddd.uab.cat:150604
dc.identifier
urn:gsduab:3507
dc.identifier
urn:scopus_id:84874250065
dc.identifier
urn:wos_id:000315831000015
dc.identifier
urn:oai:egreta.uab.cat:publications/7b171697-7db2-42c0-af7a-4f5ceda30d34
dc.identifier
urn:articleid:10902732v254p3530
dc.description.abstract
Agraïments: The first and third author is partially supported by the Algerian Ministry of Higher Education and Scientific Research.
dc.description.abstract
We consider the class of polynomial differential equations ˙x = λx + Pn(x, y), y˙ = λy + Qn(x, y), in R2 where Pn(x, y) and Qn(x, y) are homogeneous polynomials of degree n > 1 and λ ̸= 0, i.e. the class of polynomial differential systems with homogeneous nonlinearities with a star node at the origin. We prove that these systems are Darboux integrable. Moreover, for these systems we study the existence and non-existence of limit cycles surrounding the equilibrium point located at the origin.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
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European Commission 316338
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European Commission 318999
dc.relation
Journal of differential equations ; Vol. 254 (2013), p. 3530-3537
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
