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If this coefficient is negative, then for the opposite side of the bifurcation parameter value, we prove the existence of symmetric homoclinic orbits to saddle invariant 2-tori. <\/jats:p>","DOI":"10.1142\/s0218127414400069","type":"journal-article","created":{"date-parts":[[2014,8,29]],"date-time":"2014-08-29T08:35:53Z","timestamp":1409301353000},"page":"1440006","source":"Crossref","is-referenced-by-count":2,"title":["Symmetric Homoclinic Orbits at the Periodic Hamiltonian Hopf Bifurcation"],"prefix":"10.1142","volume":"24","author":[{"given":"Lev","family":"Lerman","sequence":"first","affiliation":[{"name":"Department of Differential Equations and Mathematical Analysis, N. I. Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Ave., Nizhny Novgorod 603950, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anna","family":"Markova","sequence":"additional","affiliation":[{"name":"Department of Differential Equations and Mathematical Analysis, N. I. 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