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Noninvertible maps and their embedding into higher dimensional invertible maps

  • L.P. Shilnikov-75
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Abstract

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.

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  1. 19 rue d’Occitanie Fonsegrives, 31130, Quint, France

    C. Mira

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  1. C. Mira
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Correspondence to C. Mira.

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Dedicated to Professor L.P. Shilnikov, in homage to his first rank contribution in the qualitative theory of dynamical systems, and to that of the whole Andronov’s School.

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Mira, C. Noninvertible maps and their embedding into higher dimensional invertible maps. Regul. Chaot. Dyn. 15, 246–260 (2010). https://doi.org/10.1134/S1560354710020127

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  • DOI: https://doi.org/10.1134/S1560354710020127

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