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Bifurcation Chaos"],"published-print":{"date-parts":[[2008,5]]},"abstract":"<jats:p> In our paper, by using shadowing techniques, we develop a general method for establishing the existence of a transversal homoclinic orbit to a periodic orbit of [Formula: see text] diffeomorphisms in R<jats:sup>n<\/jats:sup> which implies the occurrence of chaos. <\/jats:p>","DOI":"10.1142\/s021812740802104x","type":"journal-article","created":{"date-parts":[[2008,7,17]],"date-time":"2008-07-17T08:59:21Z","timestamp":1216285161000},"page":"1363-1375","source":"Crossref","is-referenced-by-count":3,"title":["HOMOCLINIC SHADOWING AND ITS APPLICATION TO CHAOTIC SYSTEMS"],"prefix":"10.1142","volume":"18","author":[{"given":"XILIANG","family":"LI","sequence":"first","affiliation":[{"name":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. 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