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.
Ishii, Towards a kneading theory for Lozi mappings I: A solution of the prunning front conjecture and the first tangency problem , Nonlinearity 10 (1997), 731–747
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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.