Geodesic
Two-Dimensional Dynamics of Cubic Maps
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 427

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate the global properties of two cubic maps on the plane, we try to explain the basic mechanisms of global bifurcations leading to the creation of nonconnected basins of attraction. It is shown that in some certain conditions the global structure of such systems can be simple. The main results here can be seen as an improvement of the results of stability and bifurcation analysis.
Classification : 37G10 37J20, 37J45, 37D10
Keywords: Bifurcation basins, attractors, manifolds, polynomial diffeomorphisms 
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     title = {Two-Dimensional {Dynamics} of {Cubic} {Maps}},
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I. Djellit; W. Selmani. Two-Dimensional Dynamics of Cubic Maps. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 427 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a7/