Fern-like structures in the wild set of the standard and semistandard maps in ĉ2

Gelfreich, Vasily G.Lazutkin, V. F. (Vladimir Fedorovich)Simó, CarlesTabanov, Michael B.2020-03-042020-03-041991https://hdl.handle.net/2445/151921Preprint enviat per a la seva publicació en una revista científica.The standard and semistandard maps are considered in C2 and the behaviour of the iterates on complex invariant manifolds of tbem is srudied. This is an attempt to understand complicated real dynamics by looking at the enlarged complex dynamics. Expansions of the ,, manif olds are given as well as criteria for escaping points and hyperbolicity. Sorne numerical explorations suggest the presence of fractal sbllctures of fern type. Several conjectures suggested by these preliminary explorations are stated.39 p.application/pdfeng(c) Vasily G. Gelfreich et al., 1991Sistemes dinàmics diferenciablesEquacions diferencials ordinàriesVarietats (Matemàtica)Universitat de Barcelona. Institut de MatemàticaFern-like structures in the wild set of the standard and semistandard maps in ĉ2info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess