重新考察了二次映射双曲不变集的存在性，并对现有论证作了若干补充。
The existence of hyperbolic invariant set possessed by the quadratic map is re-examined. Some details missed in the references are provided and a new type of finite subshifts is found.
为了克服这些困难，提出了一种基于序列二次近似算法精确的对偶映射。
In order to overcome the difficulties, a sequential quadratic approximate algorithm is proposed based on exact dual mapping.
为了克服这些困难，提出了一种基于序列二次近似算法精确的对偶映射。
In order to overcome the difficulties, a sequential quadratic approximate algorithm is proposed based on exact dual mapping.
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