For Lozi maps with an attracting period-two orbit and no homoclinic points at the fixed point, the dynamics outside the accumulation set ℓ of the unstable manifold has zero topological entropy.
Lozi,Un attracteur ´ etrange(?) du type attracteur de H´ enon, J
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Accumulation sets and zero entropy dynamics in the Lozi map
For Lozi maps with an attracting period-two orbit and no homoclinic points at the fixed point, the dynamics outside the accumulation set ℓ of the unstable manifold has zero topological entropy.