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By means of the bifurcation equations, the persistence of heterodimensional cycles, the coexistence of the heterodimensional cycle and periodic orbits or homoclinic orbits, and the existence of bifurcation surfaces of homoclinic orbits or the periodic orbits are discussed under small perturbations. Moreover, an example is given to show the existence of the system which has a heterodimensional cycle with orbit flip and inclination flip. <\/jats:p>","DOI":"10.1142\/s0218127414501120","type":"journal-article","created":{"date-parts":[[2014,10,3]],"date-time":"2014-10-03T04:25:41Z","timestamp":1412310341000},"page":"1450112","source":"Crossref","is-referenced-by-count":6,"title":["Bifurcations Near the Weak Type Heterodimensional Cycle"],"prefix":"10.1142","volume":"24","author":[{"given":"Xingbo","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200241, P. R. 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