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We provide and discuss sufficient conditions for the existence of these bifurcation cascades for 1D Gompertz's growth functions. Moreover, this work concerns the description of some bifurcation properties of a H\u00e9non's map type embedding: a \u201ccontinuous\u201d embedding of 1D Gompertz's growth functions into a 2D diffeomorphism. More particularly, properties that characterize the big bang bifurcations are considered in relation with this coupling of two population size functions, varying the embedding parameter. The existence of communication areas of crossroad area type or swallowtails are identified for this 2D diffeomorphism. <\/jats:p>","DOI":"10.1142\/s0218127416300305","type":"journal-article","created":{"date-parts":[[2016,10,27]],"date-time":"2016-10-27T23:08:14Z","timestamp":1477609694000},"page":"1630030","source":"Crossref","is-referenced-by-count":8,"title":["Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions"],"prefix":"10.1142","volume":"26","author":[{"given":"J. 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