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Stability of the Non-Hyperbolic Zero Equilibrium of Two Close-to-Symmetric Systems of Difference Equations with Exponential Terms

Chrysoula Mylona, Nikolaos Psarros, Garyfalos Papaschinopoulos, Christos Schinas
2018 Symmetry  
In this paper, we study the stability of the zero equilibria of two close-to-symmetric systems of difference equations with exponential terms in the special case in which one of their eigenvalues is equal to −1 and the other eigenvalue has an absolute value of less than 1. In the present study, we use the approach of center manifold theory.
doi:10.3390/sym10060188 fatcat:ltubplcrv5fnvhjds7wi4p3kga