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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:p> This note is concerned with the effect of small [Formula: see text] perturbations on a discrete dynamical system [Formula: see text], which has heteroclinic repellers. The question to be addressed is whether such perturbed system [Formula: see text] has heteroclinic repellers. It will be shown that if [Formula: see text] is small enough, [Formula: see text] has heteroclinic repellers, which implies that it is chaotic in the sense of Devaney. In addition, if [Formula: see text] and [Formula: see text] has regular nondegenerate heteroclinic repellers, then [Formula: see text] has regular nondegenerate heteroclinic repellers, where [Formula: see text] is a small Lipschitz perturbation of [Formula: see text]. Three examples are presented to validate the theoretical conclusions. <\/jats:p>","DOI":"10.1142\/s0218127420502077","type":"journal-article","created":{"date-parts":[[2020,11,27]],"date-time":"2020-11-27T09:18:45Z","timestamp":1606468725000},"page":"2050207","source":"Crossref","is-referenced-by-count":6,"title":["The Structural Stability of Maps with Heteroclinic Repellers"],"prefix":"10.1142","volume":"30","author":[{"given":"Yuanlong","family":"Chen","sequence":"first","affiliation":[{"name":"School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, P. R. China"}]},{"given":"Liangliang","family":"Li","sequence":"additional","affiliation":[{"name":"Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. 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