Invariant cones for strange attractors of Lozi, Hénon and Belykh type maps

Abstract: We consider strange attractors of two dimensional generalized map with one nonlinearity such that Lozi, H\'{e}non and Belykh maps are particular cases of it. We describe technique of invariant expanding and contracting cones creation for study of hyperbolic properties. Theorems of singular hyperbolic attractors for new modifications of Lozi, H\'{e}non and Belykh-type maps are presented.