%0 Journal Article
%T DIFFERENTIABILITY PROBLEM OF MELNIKOV FUNCTIONS AT A CENTER<br>Melnikov函数在中心处的可微性问题
%A Han Maoan
%A <br>韩茂安
%J 系统科学与数学
%D 1997
%I 
%X It is proved in the present paper that the first order Melnikov function M1 (h) is twice differentiable at the center with respect to Hamiltonian value h. A necessary and sufficient condition for the second order Melnikov function M2 to be C2 at the center is obtained. Then it is illustrated that the succession function of the perturbed system discussed in 3, 4] is not C~2 at the center.
%K Melnikov function
%K center
%K differentiability<br>Melnikov函数
%K 中心
%K 可微性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=2B8068C9EE63815B058F7C54CCDBF0DB&yid=5370399DC954B911&vid=BCA2697F357F2001&iid=38B194292C032A66&sid=1A363081E1FF7014&eid=6826CBE9C80ACB20&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0