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Symmetry 2018, 10(6), 188; https://doi.org/10.3390/sym10060188

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

School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
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Received: 15 May 2018 / Revised: 28 May 2018 / Accepted: 29 May 2018 / Published: 31 May 2018
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Abstract

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. View Full-Text
Keywords: difference equations; stability; center manifold difference equations; stability; center manifold
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Mylona, C.; Psarros, N.; Papaschinopoulos, G.; Schinas, C. Stability of the Non-Hyperbolic Zero Equilibrium of Two Close-to-Symmetric Systems of Difference Equations with Exponential Terms. Symmetry 2018, 10, 188.

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