一類三次Hamilton系統(tǒng)的四次擾動.pdf

1、上海交通大學(xué)碩士學(xué)位論文一類三次Hamilton系統(tǒng)的四次擾動姓名：范春燕申請學(xué)位級別：碩士專業(yè)：@指導(dǎo)教師：韓茂安20041201Q U A R T I CP E R T U R B A T I O NO FAC U B I CH A M I L T O NS Y S T E MA B S T R A C TAs an introduction, in the first chapter we introduce t

2、he fundamentalconcept and background of the problem to be studied in the followingchapters.From the second chapter to the fifth one, we study the number of limitcycles in a polynomial system of degree

3、4 which is a quartic perturbationof a cubic Hamiltonian system. By calculating oriented distance betweenseparatrices of a saddle point to obtain homoclinic loop, using lemmas andstability- changi

4、ng method, focus value of orders 1 and 2 and the methodsof bifurcation theory and qualitative analysis, five and six limit cycles arefound and their distributions are given near a double hom

5、oclinic loop fromthe second chapter to the fourth one. Four limit cycles are found and theirdistributions are given near a large homoclinic loop in the fifth chapter.K e y w o r d sHomoclinic loo