Christian Mira

19 rue d’Occitanie Fonsegrives, 31130 Quint, France


Mira C.
The first part is devoted to a presentation of specific features of noninvertible maps with respect to the invertible ones. When embedded into a three-dimensional invertible map, the specific dynamical features of a plane noninvertible map are the germ of the three-dimensional dynamics, at least for sufficiently small absolute values of the embedding parameter. The form of the paper, as well as its contents, is approached from a non abstract point of view, in an elementary form from a simple class of examples.
Keywords: noninvertible maps, embedding problems, discrete dynamics, global bifurcations, critical sets, basin of attraction, fractal sets
Citation: Mira C.,   Noninvertible maps and their embedding into higher dimensional invertible maps, Regular and Chaotic Dynamics, 2010, vol. 15, nos. 2-3, pp. 246-260

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