Geodesic
Complicated behavior in cubic Hénon maps
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 2, pp. 202-209 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a generalized Hénon map in two-dimensional space. We find a region of the phase space where the nonwandering set exists, specify parameter values for which this nonwandering set is hyperbolic, and prove that our map when restricted to a specific invariant subset is topologically conjugate to the Bernoulli three-shift. Coupling two such maps, as a result, we obtain a map in four-dimensional space and show that Bernoulli shifts also exist in this map.
Mots-clés : cubic Hénon map
Keywords: Bernoulli shift, hyperbolic dynamics. 
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S. Anastassiou. Complicated behavior in cubic Hénon maps. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 2, pp. 202-209. http://geodesic.mathdoc.fr/item/TMF_2021_207_2_a2/

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