{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:43:37Z","timestamp":1760197417717,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2018,5,31]],"date-time":"2018-05-31T00:00:00Z","timestamp":1527724800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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 \u2212 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.<\/jats:p>","DOI":"10.3390\/sym10060188","type":"journal-article","created":{"date-parts":[[2018,6,1]],"date-time":"2018-06-01T03:02:50Z","timestamp":1527822170000},"page":"188","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Stability of the Non-Hyperbolic Zero Equilibrium of Two Close-to-Symmetric Systems of Difference Equations with Exponential Terms"],"prefix":"10.3390","volume":"10","author":[{"given":"Chrysoula","family":"Mylona","sequence":"first","affiliation":[{"name":"School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece"}]},{"given":"Nikolaos","family":"Psarros","sequence":"additional","affiliation":[{"name":"School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece"}]},{"given":"Garyfalos","family":"Papaschinopoulos","sequence":"additional","affiliation":[{"name":"School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1971-3137","authenticated-orcid":false,"given":"Christos","family":"Schinas","sequence":"additional","affiliation":[{"name":"School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece"}]}],"member":"1968","published-online":{"date-parts":[[2018,5,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1016\/S0362-546X(02)00294-8","article-title":"Global asymptotic behavior of a two-dimensional difference equation modeling competition","volume":"52","author":"Clark","year":"2003","journal-title":"Nonlinear Anal."},{"key":"ref_2","first-page":"33","article-title":"On the global behavior of solutions of a biological model","volume":"7","author":"Grove","year":"2003","journal-title":"Commun. 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