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Solvable nonlinear systems of 2 recursions displaying interesting evolutions

Published 20 Jul 2024 in nlin.SI | (2407.18270v1)

Abstract: In this paper a class of simple, but nonlinear, systems of recursions involving $2$ dependent variables $x_{j}\left( n\right) $ is identified, such that the solutions of their initial-values problems -- with arbitrary initial data $x_{j}\left( 0\right) $ -- may be explicitly obtained.

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