Coexistence of invariant sets with and without SRB measures in Hénon family

Shin Kiriki, Ming-Chia Li, Teruhiko Soma

Let $\{f_{a,b}\}$ be the (original) Hénon family. In this paper, we show that, for any $b$ near $0$, there exists a closed interval $J_b$ which contains a dense subset $J^{\prime }$ such th…