Papaschinopoulos, G.; Schinas, C. J. Oscillation and asymptotic stability of two systems of difference equations of rational form. (English) Zbl 1009.39006 J. Difference Equ. Appl. 7, No. 4, 601-617 (2001). Summary: We study the oscillatory behavior and asymptotic stability of the systems of two difference equations of rational form \[ x_{n+1}= {y_n+x_{n-1} y_{n-2}\over y_nx_{n-1}+ y_{n-2}},\;y_{n+1}= {x_n+y_{n-1} x_{n-2} \over x_ny_{n-1}+ x_{n-2}} \] and \[ x_{n+1}= {x_{n-1}+y_ny_{n-2}\over y_nx_{n-1}+ y_{n-2}},\;y_{n+1}= {y_{n-1}+x_nx_{n-2} \over x_ny_{n-1}+ x_{n-2}}. \] Cited in 1 ReviewCited in 20 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39B05 General theory of functional equations and inequalities Keywords:oscillation; asymptotic stability; systems; difference equations of rational form PDF BibTeX XML Cite \textit{G. Papaschinopoulos} and \textit{C. J. Schinas}, J. Difference Equ. Appl. 7, No. 4, 601--617 (2001; Zbl 1009.39006) Full Text: DOI References: [1] Amieh A. M., On a Class of Difference Equations with Strong Negative Feedback, (1993) [2] Kocic V. L., Global behavior of nonlinear difference equations of higher order with applications (1993) · Zbl 0787.39001 [3] DOI: 10.1006/jmaa.1999.6384 · Zbl 0933.37016 [4] DOI: 10.1080/10236199808808157 · Zbl 0925.39004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.