高维自治系统周期解的鞍结分歧

高维自治系统周期解的鞍结分歧 SADDLE-NODE BIFURCATION FOR PERIODOC SOLUTION OF MULTI-DIMENTIONAL AUTONOMOUS SYSTEM 陈士华 Chen Shihua 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 利用Ｌｉａｐｕｎｏｖ－Ｓｃｈｍｉｄｔ方法对高维自治系统的周期解进行了研究，得到了周期解的鞍结分歧产生的一个充分条件，并给出了一个具体的例子． We study the periodic solution of multi-dimentional autonomous system by Liapunov-Schmidt method,get a sufficient condition on which the saddle-node bifurcation ours and give a concrete example. Liapunov－Schmidt方法 高维自治系统 分歧 Liapunov-Schmidt method multi-dimentional autonomous system saddlenode bifurcation O175.12 国家自然科学基金,数学天元基金 1995-01-01 2021-04-01 1