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Conditions of persistence of homoclinic connections in the perturbed first-order approximation of the heteroclinic connections provide close analytical approximations of the triangle and clover heteroclinic bifurcation curves, simultaneously. The analytical predictions are compared to the results obtained by numerical simulations for validation. <\/jats:p>","DOI":"10.1142\/s0218127416501431","type":"journal-article","created":{"date-parts":[[2016,8,5]],"date-time":"2016-08-05T05:03:24Z","timestamp":1470373404000},"page":"1650143","source":"Crossref","is-referenced-by-count":9,"title":["On the Heteroclinic Connections in the 1:3 Resonance Problem"],"prefix":"10.1142","volume":"26","author":[{"given":"B. W.","family":"Qin","sequence":"first","affiliation":[{"name":"Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. 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