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This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy). This article has been retracted at the request of the Editors in Chief as it contains unacceptable overlap with earlier research published byR. L. Marichal, J. D. Pineiro, E. J. Gonzalez, and J. Torresin ''Stability of Quasi-Periodic Orbits in Recurrent NeuralNetworks'',Neural Processing Letters Volume 31, Issue 3, Pages269-281, June 2010. DOI http://dx.doi.org/101007/s11063-010-9138-9.