On the boundary of the homoclinic region for Lozi maps, stable and unstable manifolds of saddle X intersect tangentially or along segments, and all homoclinic points are iterates of Z and V or points on a segment joining V to an iterate of Z.
Boro´ nski and S.ˇStimac, Densely branching trees as models for H´ enon-like and Lozi-like attractors, Advances in Mathematics 429 (2023), 109191
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Tangential homoclinic points for Lozi maps
On the boundary of the homoclinic region for Lozi maps, stable and unstable manifolds of saddle X intersect tangentially or along segments, and all homoclinic points are iterates of Z and V or points on a segment joining V to an iterate of Z.