2 papers
math.DS2022
Existence of an attractor and Horseshoe in multidimensional Hénon map
Dina A. Grechko, Vladimir N. Belykh, Nikita V. Barabash
In this paper using approach of 1-D auxiliary maps we prove the existence of trapping domains containing attractors of the multidimensional Henon-like maps. For both of quadratic a…
math.DS2022
Invariant cones for strange attractors of Lozi, Hénon and Belykh type maps
Dina Grechko, Vladimir Belykh, Nikita Barabash
We consider strange attractors of two dimensional generalized map with one nonlinearity such that Lozi, Hénon and Belykh maps are particular cases of it. We describe technique of i…