Mahdi, AdamPessoa, ClaudioShafer, Douglas S.2014-05-202014-05-202011-09-19Physics Letters A. Amsterdam: Elsevier B.V., v. 375, n. 40, p. 3509-3511, 2011.0375-9601http://hdl.handle.net/11449/41215We confirm a conjecture of Mello and Coelho [Phys. Lett. A 373 (2009) 1116] concerning the existence of centers on local center manifolds at equilibria of the Lu system of differential equations on R(3). Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique. (C) 2011 Elsevier B.V. All rights reserved.3509-3511engCenter problemCenter manifoldIntegrabilityArtigo10.1016/j.physleta.2011.08.022WOS:000295430900005Acesso restrito37249378865574240000-0001-6790-1055