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On the structure of the set of nonwandering points of a pair of coupled quadratic maps

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Abstract

In the plane of parameters, we indicate values for which plane endomorphisms constructed by coupling two identical one-dimensional unimodal quadratic maps have an absorbing domain that contains an attractor and a nontrivial invariant subset of the set of nonwandering points.

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Authors and Affiliations

  1. Institute of Hydrobiology, Ukrainian Academy of Sciences, Kiev

    V. A. Dobrynskii

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  1. V. A. Dobrynskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1704–1709, December, 1999.

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Dobrynskii, V.A. On the structure of the set of nonwandering points of a pair of coupled quadratic maps. Ukr Math J 51, 1929–1934 (1999). https://doi.org/10.1007/BF02525134

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  • DOI: https://doi.org/10.1007/BF02525134

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