以下为句子列表：
英文: An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic description about those orbits was also given.
中文: 证明在通有条件下，该异宿环附近存在可数无穷多条1-同宿轨，和可数无穷多个1-周期轨的单参数族，同时对这些周期轨和同宿轨作了直观描述。
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英文: The results show that the eigenvalues of the boundary-value problem form a denumerable set, and the eigenvalue approaches infinity.
中文: 结果表明边值问题的特征值构成一个可数集，并且特征值趋向于无穷大。
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