Ukrainian Mathematical Journal

, Volume 51, Issue 12, pp 1929–1934 | Cite as

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

  • V. A. Dobrynskii
Brief Communications


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.


Periodic Point Invariant Manifold Chaotic Attractor Ukrainian Academy Periodic Trajectory 
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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • V. A. Dobrynskii
    • 1
  1. 1.Institute of HydrobiologyUkrainian Academy of SciencesKiev

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